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C. M. Hoffmann and P. J. Vermeer Eliminating Extraneous Solutions in Curve and Surface Operations . . . . . . 47--66
G. Van\ve\vcek, Jr. Brep-index: a Multidimensional Space Partitioning Tree (revised) . . . . . . 243--262
Dinesh Manocha and John F. Canny A New Approach to Surface Intersection 491--516
K. Sugihara Voronoi Diagrams in a River . . . . . . 29--48 T. K. Dey and C. Bajaj On Good Triangulations in Three Dimensions . . . . . . . . . . . . . . . 75--95 O. Devillers Randomization yields simple $ O(n \log^* n) $ algorithms for difficult $ \Omega (n) $ problems . . . . . . . . . . . . . 97--111
Y.-J. Chiang and R. Tamassia Dynamization of the trapezoid method for planar point location . . . . . . . . . 311--333
Kwong-Fai Chan and Tak Wah Lam An on-line algorithm for navigating in an unknown environment . . . . . . . . . 227--244 R. Janardan On maintaining the width and diameter of a planar point-set online . . . . . . . 331--344
Naoyoshi Kanamaru and Takao Nishizeki and Tetsuo Asano Efficient enumeration of grid points in a convex polygon and its application to integer programming . . . . . . . . . . 69--85
Kokichi Sugihara and Masao Iri A Robust Topology-Oriented Incremental Algorithm for Voronoi Diagrams . . . . . 179--228
S. J. Fortune Numerical Stability of Algorithms for $2$D Delaunay triangulations . . . . . . 193--213
Y. A. Teng and D. Mount and E. Puppo and L. S. Davis Parallelizing an algorithm for visibility on polyhedral terrain . . . . ??
Esther M. Arkinn and Joseph S. B. Mitchell and Steven S. Skiena Guest Editors' Foreword . . . . . . . . 1 Scott A. Mitchell Finding a Covering Triangulation Whose Maximum Angle is Provably Small . . . . 5 Vadim Shapiro Maintenance of Geometric Representations Through Space Decompositions . . . . . . 21 Klara Kedem and Daniel Cohen Efficient Bitmap Resemblance Under Translations . . . . . . . . . . . . . . 57 Y. Ansel Teng and David Mount and Enrico Puppo and Larry S. Davis Parallelizing an Algorithm for Visibility on Polyhedral Terrain . . . . 75 Yi-Jen Chiang and Roberto Tamassia Optimal Shortest Path and Minimum --- Link Path Queries between Two Convex Polygons inside a Simple Polygonal Obstacle . . . . . . . . . . . . . . . . 85 Ming Lin and Dinesh Manocha Efficient Contact Determination in Dynamic Environments . . . . . . . . . . 123 Prosenjit Bose and Leonidas Guibas and Anna Lubiw and Mark Overmars and Diane Souvaine and Jorge Urrutia The Floodlight Problem . . . . . . . . . 153--163 Joseph O'Rourke Computational Geometry Column $ 30 $ . . 165
Tamal K. Dey Efficient Algorithms to Detect Null-Homologous Cycles on $2$-Manifolds 167 Mark de Berg and Dan Halperin and Mark Overmars and Marc van Kreveld Sparse Arrangements and the Number of Views of Polyhedral Scenes . . . . . . . 175 Goos Kant A More Compact Visibility Representation 197 Marek Chrobak and Goos Kant Convex Grid Drawings of $3$-Connected Planar Graphs . . . . . . . . . . . . . 211 Susan Hert and Vladimir Lumelsky Planar Curve Routing for Tethered-Robot Motion Planning . . . . . . . . . . . . 225 Binhai Zhu Approximating Convex Polyhedra with Axis-Parallel Boxes . . . . . . . . . . 253
Steven Fortune Editor's Foreword . . . . . . . . . . . 269 Joonsoo Choi and Juergen Sellen and Chee-Keng Yap Approximate Euclidean Shortest Paths in $3$-Space . . . . . . . . . . . . . . . 271 Gautam Das and Giri Narasimhan A Fast Algorithm for Constructing Sparse Euclidean Spanners . . . . . . . . . . . 297 Joseph S. B. Mitchell and David M. Mount and Subhash Suri Query-Sensitive Ray Shooting . . . . . . 317 Oswin Aichholzer and Helmut Alt and Günter Rote Matching Shapes with a Reference Point 349 Herbert Edelsbrunner and Nimish R. Shah Triangulating Topological Spaces . . . . 365 Joseph O'Rourke Computational Geometry Column $ 31 $ . . 379 Vadim Shapiro Errata: ``Maintenance of Geometric Representations Through Space Decompositions'' . . . . . . . . . . . . 383
Jun-Ya Takahashi and Hitoshi Suzuki and Takao Nishizeki Shortest Non-Crossing Rectilinear Paths in Plane Regions . . . . . . . . . . . . 419 Prosenjit Gupta and Ravi Janardan and Michiel Smid and Bhaskar Dasgupta The Rectangle Enclosure and Point-Dominance Problems Revisited . . . 437 Joseph L. Ganley and J. P. Cohoon Improved Computation of Optimal Rectilinear Steiner Minimal Trees . . . 457 J. Mark Keil Covering Orthogonal Polygons with Non-Piercing Rectangles . . . . . . . . 473 David Eppstein Faster Circle Packing with Application to Nonobtuse Triangulation . . . . . . . 485 Muhammad H. Alsuwaiyel Two Algorithms for the Sum of Diameters Problem and a Related Problem . . . . . 493 Joseph O'Rourke Computational Geometry Column $ 32 $ . . 509
Leizhen Cai and J. Mark Keil Computing Visibility Information in an Inaccurate Simple Polygon . . . . . . . 515 Vitit Kantabutra Reaching a Point with an Unanchored Robot Arm in a Square . . . . . . . . . 539 Jurek Czyzowicz and Hazel Everett and Jean-Marc Robert Separating Translates in the Plane: Combinatorial Bounds and an Algorithm 551 Frank Follert and Elmar Schömer and Jürgen Sellen and Michiel Smid and Christian Thiel Computing a Largest Empty Anchored Cylinder, and Related Problems . . . . . 563 D. T. Lee and C. D. Yang and C. K. Wong Finding Rectilinear Paths Among Obstacles in a Two-Layer Interconnection Model . . . . . . . . . . . . . . . . . 581 Wenping Wang and Barry Joe and Ronald Goldman Rational Quadratic Parameterizations of Quadrics . . . . . . . . . . . . . . . . 599 Anonymous Author Index . . . . . . . . . . . . . . 621
S. P. Fekete and J. S. B. Mitchell Histogram decomposition and stereolithography . . . . . . . . . . . ??
Michael T. Goodrich An Improved Ray Shooting Method for Constructive Solid Geometry Models Via Tree Contraction . . . . . . . . . . . . 1 James Abello and Vladimir Estivill-Castro and Thomas Shermer and Jorge Urrutia Illumination of Orthogonal Polygons with Orthogonal Floodlights . . . . . . . . . 25 Franck Nielsen and Mariette Yvinec An Output-Sensitive Convex Hull Algorithm for Planar Objects . . . . . . 39 Per-Olof Fjällström and Jan Petersson and Larsgunnar Nilsson and Zhi-Hua Zhong Evaluation of Range Searching Methods for Contact Searching in Mechanical Engineering . . . . . . . . . . . . . . 67 L. H. Tseng and P. Heffernan and D. T. Lee Two-Guard Walkability of Simple Polygons 85
Nina Amenta and Steven Fortune Guest Editors' Foreword . . . . . . . . 117 D. T. Lee and Chin-Fang Shen and Dennis S. Sheu Geosheet: a Distributed Visualization Tool for Geometric Algorithms . . . . . 119 Leonidas J. Guibas and David H. Marimont Rounding Arrangements Dynamically . . . 157 Leonidas J. Guibas and Dan Halperin and Hirohisa Hirukawa and Jean-Claude Latombe and Randall H. Wilson Polyhedral Assembly Partitioning Using Maximally Covered Cells in Arrangements of Convex Polytopes . . . . . . . . . . 179 Jules Vleugels and Mark Overmars Approximating Voronoi Diagrams of Convex Sites in Any Dimension . . . . . . . . . 201 Ioannis Z. Emiris A Complete Implementation for Computing General Dimensional Convex Hulls . . . . 223 Ernst P. Mücke A Robust Implementation for Three-Dimensional Delaunay Triangulations . . . . . . . . . . . . . 255
Danny Z. Chen Determining Weak Visibility of a Polygon from an Edge in Parallel . . . . . . . . 277 Wei Chen and Koichi Wada and Kimio Kawaguchi and Danny Z. Chen Finding the Convex Hull of Discs in Parallel . . . . . . . . . . . . . . . . 305 Olivier Devillers and Mordecai J. Golin Dog Bites Postman: Point Location in the Moving Voronoi Diagram and Related Problems . . . . . . . . . . . . . . . . 321 Esther M. Arkin and Henk Meijer and Joseph S. B. Mitchell and David Rappaport and Steven S. Skiena Decision Trees for Geometric Models . . 343 Gerhard Albers and Leonidas J. Guibas and Joseph S. B. Mitchell and Thomas Roos Voronoi Diagrams of Moving Points . . . 365 Joseph O'Rourke Computational Geometry Column $ 33 $ . . 381
Ming C. Lin and Dinesh Manocha Guest Editors' Foreword . . . . . . . . 385 Mu Hong and Thomas W. Sederberg and Krzysztof S. Klimaszewski and Kazufumi Kaneda Triangulation of Branching Contours Using Area Minimization . . . . . . . . 389 Sylvain Petitjean A Computational Geometric Approach to Visual Hulls . . . . . . . . . . . . . . 407 Susan Hert and Vladimir Lumelsky Polygon Area Decomposition for Multiple-Robot Workspace Division . . . 437 Mark De Berg and Henk Meijer and Mark Overmars and Gordon Wilfong Computing the Angularity Tolerance . . . 467
Toni Jabbour and Christian Mascle and Roland Maranzana A Database for the Representation of Assembly Features in Mechanical Products 483 Mark T. Ensz and Duane W. Storti and Mark A. Ganter Implicit Methods for Geometry Creation 509 Jai Menon and Baining Guo Free-Form Modeling in Bilateral Brep and CSG Representation Schemes . . . . . . . 537 Guy Evans and Alan Middleditch and Nick Miles Stable Computation of the $2$D Medial Axis Transform . . . . . . . . . . . . . 577 Rida T. Farouki and Rajesh Ramamurthy Specified-Precision Computation of Curve/Curve Bisectors . . . . . . . . . 599 Gill Barequet DCEL: a Polyhedral Database and Programming Environment . . . . . . . . 619 Pankaj K. Agarwal and Joseph O'Rourke Computational Geometry Column $ 34 $ . . 637 Anonymous Author Index Volume 8 (1998) . . . . . . 643
S. P. Fekete and H. Meijer Rectangle and Box Visibility Graphs in $3$D . . . . . . . . . . . . . . . . . . 1 M. J. Atallah An Improved Hypercube Bound for Multisearching and Its Applications . . 29 O. Devillers and M. J. Katz Optimal Line Bipartitions of Point Sets 39 D. Kirkpatrick and J. Snoeyink Computing Constrained Shortest Segments: Butterfly Wingspans in Logarithmic Time 53 X. H. Tan Edge Guards in Straight Walkable Polygons . . . . . . . . . . . . . . . . 63 B. K. Bhattacharya and A. Mukhopadhyay and G. T. Toussaint Computing a Shortest Weakly Externally Visible Line Segment for a Simple Polygon . . . . . . . . . . . . . . . . 81 M. Smid and R. Janardan On the Width and Roundness of a Set of Points in the Plane . . . . . . . . . . 97
A. Glozman and K. Kedem and G. Shpitalnik Computing a Double-Ray Center for a Planar Point Set . . . . . . . . . . . . 109 V. Shapiro Well-Formed Set Representations of Solids . . . . . . . . . . . . . . . . . 125 Y. Kusakari and H. Suzuki and T. Nishizeki A Shortest Pair of Paths on the Plane with Obstacles and Crossing Areas . . . 151 E. Kranakis and J. Urrutia Isomorphic Triangulations with Small Number of Steiner Points . . . . . . . . 171 J. Czyzowicz and I. Stojmenovic and J. Urrutia Immobilizing a Shape . . . . . . . . . . 181 E. F. Grove and T. M. Murali and J. S. Vitter The Object Complexity Model for Hidden-Surface Removal . . . . . . . . . 207
M. Segal On Piercing Sets of Axis-Parallel Rectangles and Rings . . . . . . . . . . 219 O. Aichholzer and F. Aurenhammer and D. Z. Chen and D. T. Lee and E. Papadopoulou Skew Voronoi Diagrams . . . . . . . . . 235 E. Assa and M. J. Katz $3$-Piercing of $d$-Dimensional Boxes and Homothetic Triangles . . . . . . . . 249 G. Narasimhan On Hamiltonian Triangulations in Simple Polygons . . . . . . . . . . . . . . . . 261 D. Richards and J. S. Salowe Mixed Spanning Trees in Theory and Practice . . . . . . . . . . . . . . . . 277 N. Baek and S.-Y. Shin and K.-Y. Chwa On Computing Translational Swept Volumes 293 X. Tan and T. Hirata and Y. Inagaki Corrigendum to ``An Incremental Algorithm for Constructing Shortest Watchman Routes'' . . . . . . . . . . . 319
Pankaj K. Agarwal Guest Editor's Foreword . . . . . . . . 325 Fausto Bernardini and Chandrajit L. Bajaj and Jindong Chen and Daniel R. Schikore Automatic Reconstruction of $3$D CAD Models From Digital Scans . . . . . . . 327 Michael H. Goldwasser and Rajeev Motwani Complexity Measures for Assembly Sequences . . . . . . . . . . . . . . . 371 Stina Bridgeman and Ashim Garg and Roberto Tamassia A Graph Drawing and Translation Service on the World Wide Web . . . . . . . . . 419 Howie Choset Nonsmooth Analysis, Convex Analysis, and their Applications to Motion Planning 447 Leonidas J. Guibas and Jean-Claude Latombe and Steven M. Lavalle and David Lin and Rajeev Motwani A Visibility-Based Pursuit-Evasion Problem . . . . . . . . . . . . . . . . 471 David Hsu and Jean-Claude Latombe and Rajeev Motwani Path Planning in Expansive Configuration Spaces . . . . . . . . . . . . . . . . . 495 Joseph O'Rourke Computational Geometry Column $ 35 $ . . 513
M. Bern and D. Eppstein and S.-H. Teng Parallel Construction of Quadtrees and Quality Triangulations . . . . . . . . . 517 E. Papadopoulou $k$-Pairs Non-Crossing Shortest Paths in a Simple Polygon . . . . . . . . . . . . 533 F. D'Amore and R. Giaccio Intersection Problems on Segments Under Boundary Updates with Application to Persistent Lists . . . . . . . . . . . . 553 G. L. Miller and D. Talmor and S.-H. Teng Data Generation for Geometric Algorithms on Non-Uniform Distributions . . . . . . 577 H. Martini and V. Soltan Minimum Number of Pieces in a Convex Partition of a Polygonal Domain . . . . 599 J. O'Rourke Computational Geometry Column $ 36 $ . . 615 Anonymous Author Index . . . . . . . . . . . . . . 619
M. Müller-Hannemann and K. Weihe Quadrangular Refinements of Convex Polygons with an Application to Finite-Element Meshes . . . . . . . . . 1 J.-D. Boissonnat and J. Czyzowicz and O. Devillers and J. Urrutia and M. Yvinec Computing Largest Circles Separating Two Sets of Segments . . . . . . . . . . . . 41 D. Bremner and T. Shermer Point Visibility Graphs and $O$-Convex Cover . . . . . . . . . . . . . . . . . 55 A. Kaneko and M. Kano and K. Yoshimoto Alternating Hamilton Cycles with Minimum Number of Crossings in the Plane . . . . 73 G. Srinivasaraghavan and A. Mukhopadhyay Orthogonal Edge Visibility Graphs of Polygons with Holes . . . . . . . . . . 79 E. D. Demaine and J. O'Rourke Computational Geometry Column $ 37 $ . . 103
H. Ratschek and J. Rokne Exact and Optimal Convex Hulls in $2$D 109 N. Baek and S.-Y. Shin and K.-Y. Chwa Three-Dimensional Topological Sweep for Computing Rotational Swept Volumes of Polyhedral Objects . . . . . . . . . . . 131 L. G. Aleksandrov and H. N. Djidjev and J.-R. Sack An $ O(n \log n) $ Algorithm for Finding a Shortest Central Link Segment . . . . 157 S. K. Wismath Point and Line Segment Reconstruction from Visibility Information . . . . . . 189 J.-H. Lee and S.-M. Park and K.-Y. Chwa Searching a Polygonal Room with One Door by a $1$-Searcher . . . . . . . . . . . 201 J. O'Rourke Computational Geometry Column $ 38 $ . . 221
S.-H. Teng Guest Editor's Foreword . . . . . . . . 225 S.-H. Teng and C. W. Wong Unstructured Mesh Generation: Theory, Practice, and Perspectives . . . . . . . 227 H. Edelsbrunner and R. Waupotitsch Adaptive Simplicial Grids from Cross-Sections of Monotone Complexes . . 267 M. Müller-Hannemann High Quality Quadrilateral Surface Meshing Without Template Restrictions: a New Approach Based on Network Flow Techniques . . . . . . . . . . . . . . . 285 A. Sheffer and M. Bercovier and T. Blacker and J. Clements Virtual Topology Operators for Meshing 309 M. Berzins Solution-Based Mesh Quality Indicators for Triangular and Tetrahedral Meshes 333
M. Bern and D. Eppstein Quadrilateral Meshing by Circle Packing 347 L. A. Freitag and C. Ollivier-Gooch A Cost/Benefit Analysis of Simplicial Mesh Improvement Techniques as Measured by Solution Efficiency . . . . . . . . . 361 R. Schneiders Octree-Based Hexahedral Mesh Generation 383 S. A. Mitchell High Fidelity Interval Assignment . . . 399 K. Shimada and A. Yamada and T. Itoh Anisotropic Triangulation of Parametric Surfaces via Close Packing of Ellipsoids 417 J. O'Rourke Computational Geometry Column $ 39 $ . . 441
M. A. Lopez and S. Reisner Efficient Approximation of Convex Polygons . . . . . . . . . . . . . . . . 445 C. Ó Dúnlaing and C. Watt and D. Wilkins Homeomorphism of $2$-Complexes is Equivalent to Graph Isomorphism . . . . 453 C. N. De Meneses and C. C. De Souza Exact Solutions of Rectangular Partitions via Integer Programming . . . 477 S. Bespamyatnikh and K. Kedem and M. Segal and A. Tamir Optimal Facility Location Under Various Distance Functions . . . . . . . . . . . 523 M. Keil and D. M. Mount and S. K. Wismath Visibility Stabs and Depth-First Spiralling on Line Segments in Output Sensitive Time . . . . . . . . . . . . . 535
T. C. Biedl and B. P. Madden and I. G. Tollis The Three-Phase Method: a Unified Approach to Orthogonal Graph Drawing . . 553 B. Ben-Moshe and M. J. Katz and M. Segal Obnoxious Facility Location: Complete Service with Minimal Harm . . . . . . . 581 D. M. Mount and N. S. Netanyahu and C. D. Piatko and R. Silverman and A. Y. Wu Quantile Approximation for Robust Statistical Estimation and $k$-Enclosing Problems . . . . . . . . . . . . . . . . 593 L.-E. Andersson and T. J. Peters and N. F. Stewart Equivalence of Topological Form for Curvilinear Geometric Objects . . . . . 609 G. Di Battista and A. Garg and G. Liotta and A. Parise and R. Tamassia and E. Tassinari and F. Vargiu and L. Vismara Drawing Directed Acyclic Graphs: An Experimental Study . . . . . . . . . . . 623 J. O'Rourke Computational Geometry Column $ 40 $ . . 649 Anonymous Author Index . . . . . . . . . . . . . . 653
Renato Pajarola and Peter Widmayer Virtual Geoexploration: Concepts and Design Choices . . . . . . . . . . . . . 1--14 Roberto Tamassia and Luca Vismara A Case Study in Algorithm Engineering for Geometric Computing . . . . . . . . 15--70 Kiyoko F. Aoki and D. T. Lee Towards Web-Based Computing . . . . . . 71--104 S. Krishnan and D. Manocha and M. Gopi and T. Culver and J. Keyser BOOLE: a Boundary Evaluation System for Boolean Combinations of Sculptured Solids . . . . . . . . . . . . . . . . . 105
Tetsuo Asano and Danny Z. Chen and Naoki Katoh and T. Tokuyama Efficient Algorithms for Optimization-Based Image Segmentation 145--166 Sung Kwon Kim and Chan-Su Shin and Tae-Cheon Yang and others Labeling a Rectilinear Map with Sliding Labels . . . . . . . . . . . . . . . . . 167--179 Tycho Strijk and Alexander Wolff Labeling Points with Circles . . . . . . 181--195 Otfried Cheong and René van Oostrum Reaching a Polygon with Directional Uncertainty . . . . . . . . . . . . . . 197--214 Vadim Shapiro A Convex Deficiency Tree Algorithm for Curved Polygons . . . . . . . . . . . . 215--238 Joseph O'Rourke Computational Geometry Column $ 41 $ . . 239--242
John Hershberger Guest Editor's Foreword . . . . . . . . 243--244 Christoph Burnikel and Stefan Funke and Michael Seel Exact Geometric Computation Using Cascading . . . . . . . . . . . . . . . 245--266 Marcus Vinícius Alvim Andrade and Jorge Stolfi Exact Algorithms for Circles on the Sphere . . . . . . . . . . . . . . . . . 267--290 Timothy M. Chan On Enumerating and Selecting Distances 291--304 A. Crauser and P. Ferragina and K. Mehlhorn and U. Meyer and E. A. Ramos Randomized External-Memory Algorithms for Line Segment Intersection and Other Geometric Problems . . . . . . . . . . . 305--337 Sunil Arya and Siu-Wing Cheng and David M. Mount Approximation Algorithm for Multiple-Tool Milling . . . . . . . . . 339--372
Mikhail J. Atallah and Danny Z. Chen On Connecting Red and Blue Rectilinear Polygonal Obstacles with Nonintersecting Monotone Rectilinear Paths . . . . . . . 373--400 Alejandro López-Ortiz and Sven Schuierer Lower Bounds for Streets and Generalized Streets . . . . . . . . . . . . . . . . 401--421 Thomas Christof and Gerhard Reinelt Decomposition and Parallelization Techniques for Enumerating the Facets of Combinatorial Polytopes . . . . . . . . 423--437 J. Rafael Sendra and Carlos Villarino Optimal Reparametrization of Polynomial Algebraic Curves . . . . . . . . . . . . 439--453 Binhai Zhu and C. K. Poon Efficient Approximation Algorithms for Two-Label Point Labeling . . . . . . . . 455--464 Gill Barequet and Sariel Har-Peled Polygon Containment and Translational Min-Hausdorff-Distance Between Segment Sets are $3$ SUM-Hard . . . . . . . . . 465--474
Jiaye Wang and Ding Yuan Liu and Wenping Wang Computing an Almost Minimum Set of Spanning Line Segments of a Polyhedron 475--485 Wei Chen and Xiaowen Deng and Koichi Wada and K. Kawaguchi Constructing a Strongly Convex Superhull of Points . . . . . . . . . . . . . . . 487--502 Evantha Papadopoulou and D. T. Lee The $ L_{\infty } $ Voronoi Diagram of Segments and VLSI Applications . . . . . 503--528 Ichiro Suzuki and Yuichi Tazoe and Masafumi Yamashita and T. Kameda Searching a Polygonal Region from the Boundary . . . . . . . . . . . . . . . . 529--553 Olivier Devillers and Philippe Guigue The Shuffling Buffer . . . . . . . . . . 555--572 Joseph S. B. Mitchell and Joseph O'Rourke Computational Geometry Column $ 42 $ . . 573--582
Kurt Mehlhorn and Stefan Meiser and Ronald Rasch Furthest Site Abstract Voronoi Diagrams 583 Danny Z. Chen and Ovidiu Daescu and Kevin S. Klenk On Geometric Path Query Problems . . . . 617 Sándor P. Fekete and Joseph S. B. Mitchell Terrain Decomposition and Layered Manufacturing . . . . . . . . . . . . . 647 Michael Murphy and David M. Mount and Carl W. Gable A Point-Placement Strategy for Conforming Delaunay Tetrahedralization 669 Anonymous Author Index . . . . . . . . . . . . . . 683
Mark de Berg and Stefan Schirra Guest Editor's Foreword . . . . . . . . 1 David Kirkpatrick and Jack Snoeyink and Bettina Speckmann Kinetic Collision Detection for Simple Polygons . . . . . . . . . . . . . . . . 3 Srinivas R. Doddi and Madhav V. Marathe and Bernard M. E. Moret Point Set Labeling with Specified Positions . . . . . . . . . . . . . . . 29 Timothy M. Chan Approximating the Diameter, Width, Smallest Enclosing Cylinder, and Minimum-Width Annulus . . . . . . . . . 67 Steven M. Lavalle and Borislav H. Simov and Giora Slutzki An Algorithm for Searching a Polygonal Region with a Flashlight . . . . . . . . 87 Peter Brass and Christian Knauer Testing the Congruence of $d$-Dimensional Point Sets . . . . . . . 115 Nina Amenta and Sunghee Choi and Tamal K. Dey and Naveen Leekha A Simple Algorithm for Homeomorphic Surface Reconstruction . . . . . . . . . 125 Afra Zomorodian and Herbert Edelsbrunner Fast Software for Box Intersections . . 143
David Binger Polyhedra with Unguarded Interiors . . . 173 Mark Keil and Jack Snoeyink On the Time Bound for Convex Decomposition of Simple Polygons . . . . 181 Olivier Devillers On Deletion in Delaunay Triangulations 193 Jong-Sung Ha and Sung-Yong Shin Edge Advancing Rules for Intersecting Spherical Convex Polygons . . . . . . . 207 Sergei Bespamyatnikh An Optimal Morphing Between Polylines 217 Olivier Devillers and Pedro A. Ramos Computing Roundness is Easy if the Set is Almost Round . . . . . . . . . . . . 229 Xuehou Tan Finding an Optimal Bridge Between Two Polygons . . . . . . . . . . . . . . . . 249 Joseph O'Rourke Computational Geometry Column $ 43 $ . . 263
Takeshi Tokuyama Guest Editor's Foreword . . . . . . . . 267 Alexander Wolff and Michael Thon and Yinfeng Xu A Simple Factor-$ \frac {2}{3} $ Approximation Algorithm for Two-Circle Point Labeling . . . . . . . . . . . . . 269 Prosenjit Bose and Andrej Brodnik and Svante Carlsson and Erik D. Demaine and Rudolf Fleischer and Alejandro López-Ortiz and Pat Morin and J. Ian Munro Online Routing in Convex Subdivisions 283 Prosenjit Bose and Pat Morin An Improved Algorithm for Subdivision Traversal without Extra Storage . . . . 297 Danny Z. Chen and Xiaobo S. Hu and Xiaodong Wu Optimal Polygon Cover Problems and Applications . . . . . . . . . . . . . . 309 Sang-Min Park and Jae-Ha Lee and Kyung-Yong Chwa Searching a Room by Two Guards . . . . . 339
Tamal K. Dey and Rephael Wenger Fast Reconstruction of Curves with Sharp Corners . . . . . . . . . . . . . . . . 353 Adrian Dumitrescu and János Pach Partitioning Colored Point Sets into Monochromatic Parts . . . . . . . . . . 401 Danny Z. Chen and Jie Wang and Xiaodong Wu Image Segmentation with Asteroidality/Tubularity and Smoothness Constraints . . . . . . . . . . . . . . 413 Naoki Katoh and Hisao Tamaki and Takeshi Tokuyama Parametric Polymatroid Optimization and Its Geometric Applications . . . . . . . 429
Prosenjit Bose and Luc Devroye and William Evans Diamonds are Not a Minimum Weight Triangulation's Best Friend . . . . . . 445 Hiroshi Imai and Tomonari Masada and Fumihiko Takeuchi and Keiko Imai Enumerating Triangulations in General Dimensions . . . . . . . . . . . . . . . 455 Jia F. Weng Generalized Melzak's Construction in the Steiner Tree Problem . . . . . . . . . . 481 Grégoire Malandain and Jean-Daniel Boissonnat Computing the Diameter of a Point Set 489 Atsushi Koike and Shin-Ichi Nakano and Takao Nishizeki and Takeshi Tokuyama and Shuhei Watanabe Labeling Points with Rectangles of Various Shapes . . . . . . . . . . . . . 511 Anonymous Author Index . . . . . . . . . . . . . . 529
D. T. Lee Chief Editor's Notice . . . . . . . . . 1 Roberto Tamassia Guest Editor's Foreword . . . . . . . . 3 Julien Basch and Harish Devarajan and Piotr Indyk and Li Zhang Probabilistic Analysis for Discrete Attributes of Moving Points . . . . . . 5 Konstantinos G. Kakoulis and Ioannis G. Tollis A Unified Approach to Automatic Label Placement . . . . . . . . . . . . . . . 23 Jonathan Cohen and Dinesh Manocha and Marc Olano Successive Mappings: An Approach to Polygonal Mesh Simplification with Guaranteed Error Bounds . . . . . . . . 61
Danny Z. Chen and Ovidiu Daescu Space-Efficient Algorithms for Approximating Polygonal Curves in Two-Dimensional Space . . . . . . . . . 95 Jerôme Galtier and Ferran Hurtado and Marc Noy and Stéphane Pérennes and Jorge Urrutia Simultaneous Edge Flipping in Triangulations . . . . . . . . . . . . . 113 Danny Z. Chen and Shuang Luan and Jinhui Xu Topological Peeling and Applications . . 135 Eugene Fink and Derick Wood Planar Strong Visibility . . . . . . . . 173
Jean-Daniel Boissonnat and Sylvain Lazard A Polynomial-Time Algorithm for Computing Shortest Paths of Bounded Curvature Amidst Moderate Obstacles . . 189 Olivier Devillers and Franco P. Preparata Culling a Set of Points for Roundness or Cylindricity Evaluations . . . . . . . . 231 Kurt Mehlhorn and Michael Seel Infimaximal Frames: a Technique for Making Lines Look Like Segments . . . . 241 Asish Mukhopadhyay and S. V. Rao On Computing a Largest Empty Arbitrarily Oriented Rectangle . . . . . . . . . . . 257 Joseph O'Rourke Computational Geometry Column $ 44 $ . . 273
Kokichi Sugihara Guest Editor's Foreword . . . . . . . . 277 Marina L. Gavrilova and Jon Rokne Collision Detection Optimization in a Multi-Particle System . . . . . . . . . 279 Mattias Andersson and Joachim Gudmundsson and Christos Levcopoulos and Giri Narasimhan Balanced Partition of Minimum Spanning Trees . . . . . . . . . . . . . . . . . 303 J. M. Díaz-Báñez and F. Hurtado and H. Meijer and D. Rappaport and J. A. Sellar\`es The Largest Empty Annulus Problem . . . 317 Joachim Giesen and Matthias John and Michel Stöcklin Symmetry of Flow Diagrams Derived from Weighted Points in the Plane . . . . . . 327 Maciej Dakowicz and Christopher Gold Extracting Meaningful Slopes from Terrain Contours . . . . . . . . . . . . 339
Chandrajit L. Bajaj and Guoliang Xu and Robert J. Holt and Arun N. Netravali NURBS Approximation of $A$-splines and $A$-patches . . . . . . . . . . . . . . 359 Olivier Devillers and Regina Estkowski and Pierre-Marie Gandoin and Ferran Hurtado and Pedro Ramos and Vera Sacristán Minimal set of constraints for $2$ d constrained Delaunay reconstruction . . 391 Tim Culver and John Keyser and Dinesh Manocha and Shankar Krishnan A Hybrid Approach for Determinant Signs of Moderate-Sized Matrices . . . . . . . 399 Sergei Bespamyatnikh Computing Closest Points for Segments 419 Peter Braß and Laura Heinrich-Litan and Pat Morin Computing the Center of Area of a Convex Polygon . . . . . . . . . . . . . . . . 439
Prosenjit Bose and Hazel Everett and Stephen Wismath Properties of Arrangement Graphs . . . . 447 Chaim Linhart and Dan Halperin and Iddo Hanniel and Sariel Har-Peled An Experimental Study of On-Line Methods for Zone Construction in Arrangements of Lines in the Plane . . . . . . . . . . . 463 Ashim Garg and Adrian Rusu Area-Efficient Order-Preserving Planar Straight-Line Drawings of Ordered Trees 487 Anonymous Author Index Volume 13 (2003) . . . . . 507
Binhai Zhu Guest Editor's Foreword . . . . . . . . 1 Sergey Bereg Cylindrical Hierarchy for Deforming Necklaces . . . . . . . . . . . . . . . 3 Jinhui Xu and Zhiyong Lin and Yang Yang and Ronald Berezney Traveling Salesman Problem of Segments 19 Ron Breukelaar and Erik D. Demaine and Susan Hohenberger and Hendrik Jan Hoogeboom and Walter A. Kosters and David Liben-Nowell Tetris Is Hard, Even To Approximate . . 41 Xiang-Yang Li and Yu Wang Efficient Construction of Low Weighted Bounded Degree Planar Spanner . . . . . 69 Xiaodong Wu and Danny Z. Chen and James J. Mason and Steven R. Schmid Efficient Approximation Algorithms for Pairwise Data Clustering and Applications . . . . . . . . . . . . . . 85 Michael J. Collins Covering a Set of Points with a Minimum Number of Turns . . . . . . . . . . . . 105
Pascal Lienhardt and Xavier Skapin and Antoine Bergey Cartesian Product of Simplicial and Cellular Structures . . . . . . . . . . 115 Ron Goldman and Wenping Wang Using Invariants To Extract Geometric Characteristics of Conic Sections From Rational Quadratic Parameterizations . . 161 Binhai Zhu Approximating $3$D Points with Cylindrical Segments . . . . . . . . . . 189 Matthew Suderman Pathwidth and Layered Drawings of Trees 203 Joseph O'Rourke Computational Geometry Column 45 . . . . 227
Joseph S. B. Mitchell Editor's Foreword . . . . . . . . . . . 231 Marc Van Kreveld and Iris Reinbacher Good News: Partitioning a Simple Polygon by Compass Directions . . . . . . . . . 233 Niloy J. Mitra and An Nguyen and Leonidas Guibas Estimating Surface Normals in Noisy Point Cloud Data . . . . . . . . . . . . 261 Dan Halperin and Eran Leiserowitz Controlled Perturbation for Arrangements of Circles . . . . . . . . . . . . . . . 277 Danny Z. Chen and Xiaobo S. Hu and Shuang (Sean) Luan and Chao Wang and Xiaodong Wu Geometric Algorithms for Static Leaf Sequencing Problems in Radiation Therapy 311 Kaspar Fischer and Bernd Gärtner The Smallest Enclosing Ball of Balls: Combinatorial Structure and Algorithms 341
Xiangmin Jiao and Michael T. Heath Overlaying Surface Meshes, Part I: Algorithms . . . . . . . . . . . . . . . 379 Xiangmin Jiao and Michael T. Heath Overlaying Surface Meshes, Part II: Topology Preservation and Feature Matching . . . . . . . . . . . . . . . . 403 Evanthia Papadopoulou and D. T. Lee The Hausdorff Voronoi Diagram of Polygonal Objects: a Divide and Conquer Approach . . . . . . . . . . . . . . . . 421 Hee-Kap Ahn and Siu-Wing Cheng and Otfried Cheong and Jack Snoeyink The Reflex-Free Hull . . . . . . . . . . 453 Joseph O'Rourke Computational Geometry Column 46 . . . . 475 Anonymous Author Index Volume 14 (2004) . . . . . 479
Paul Chew and Alper Üngör Guest Editors' Foreword . . . . . . . . 1 Daniel K. Blandford and Guy E. Blelloch and David E. Cardoze and Clemens Kadow Compact Representations of Simplicial Meshes in Two and Three Dimensions . . . 3 Gary L. Miller and Steven E. Pav and Noel J. Walkington When and Why Delaunay Refinement Algorithms Work . . . . . . . . . . . . 25 Suneeta Ramaswami and Marcelo Siqueira and Tessa Sundaram and Jean Gallier and James Gee Constrained Quadrilateral Meshes of Bounded Size . . . . . . . . . . . . . . 55
Marina L. Gavrilova Guest Editors' Foreword . . . . . . . . 99 Godfried Toussaint Geometric Proximity Graphs for Improving Nearest Neighbor Methods in Instance-Based Learning and Data Mining 101 Takeshi Kanda and Kokichi Sugihara Two-Dimensional Range Search Based on the Voronoi Diagram . . . . . . . . . . 151 Ferran Hurtado and Carlos Seara and Saurabh Sethia Red-Blue Separability Problems in $3$D 167 Sergey Bereg An Approximate Morphing Between Polylines . . . . . . . . . . . . . . . 193 Donguk Kim and Deok-Soo Kim and Kokichi Sugihara Euclidean Voronoi Diagram for Circles in a Circle . . . . . . . . . . . . . . . . 209
Atsushi Kaneko and Mikio Kano Semi-Balanced Partitions of Two Sets of Points and Embeddings of Rooted Forests 229 Danny Z. Chen and Michiel Smid and Bin Xu Geometric Algorithms for Density-Based Data Clustering . . . . . . . . . . . . 239 Yu-Shin Chen and D. T. Lee and Chung-Shou Liao Labeling Points on a Single Line . . . . 261 Hilderick A. Van Der Meiden and Willem F. Bronsvoort An Efficient Method to Determine the Intended Solution for a System of Geometric Constraints . . . . . . . . . 279 Huawei Wang and Kaihuai Qin and Hanqiu Sun Evaluation of Non-Uniform Doo--Sabin Surfaces . . . . . . . . . . . . . . . . 299
Gill Barequet Guest Editor's Foreword . . . . . . . . 325 Ilya Baran and Erik D. Demaine Optimal Adaptive Algorithms for Finding the Nearest and Farthest Point on a Parametric Black-Box Curve . . . . . . . 327 Ron Wein and Oleg Ilushin and Gershon Elber and Dan Halperin Continuous Path Verification in Multi-Axis NC-Machining . . . . . . . . 351 Stefan Funke and Theocharis Malamatos and Rahul Ray Finding planar regions in a terrain -- in practice and with a guarantee . . . . 379 Erik D. Demaine and Jeff Erickson and Ferran Hurtado and John Iacono and Stefan Langerman and Henk Meijer and Mark Overmars and Sue Whitesides Separating Point Sets in Polygonal Environments . . . . . . . . . . . . . . 403 Siu-Wing Cheng and Tamal K. Dey and Edgar A. Ramos and Tathagata Ray Quality Meshing of Polyhedra with Small Angles . . . . . . . . . . . . . . . . . 421
Frank Dehne and Rolf Klein and Raimund Seidel Maximizing a Voronoi Region: the Convex Case . . . . . . . . . . . . . . . . . . 463 Abedallah Rababah $ L_2 $ Degree Reduction of Triangular Bézier Surfaces with Common Tangent Planes At Vertices . . . . . . . . . . . 477 Sumanta Guha Joint Separation of Geometric Clusters and the Extreme Irregularities of Regular Polyhedra . . . . . . . . . . . 491 Frédéic Cazals and Marc Pouget Differential Topology and Geometry of Smooth Embedded Surfaces: Selected Topics . . . . . . . . . . . . . . . . . 511 Peter Brass and Mehrbod Sharifi A Lower Bound for Lebesgue's Universal Cover Problem . . . . . . . . . . . . . 537
Henk Meijer and David Rappaport Guest Editors' Foreword . . . . . . . . 545 Daniel Archambault and Willam Evans and David Kirkpatrick Computing the Set of All the Distant Horizons of a Terrain . . . . . . . . . 547 Sean M. Falconer and Bradford G. Nickerson On Multi-Level $k$-Ranges for Range Search . . . . . . . . . . . . . . . . . 565 Gruia C\ualinescu and Adrian Dumitrescu and Howard Karloff and Peng-Jun Wan Separating Points by Axis-Parallel Lines 575 Prosenjit Bose and Marc Van Kreveld Generalizing Monotonicity: on Recognizing Special Classes of Polygons and Polyhedra . . . . . . . . . . . . . 591 Amit M. Bhosle and Teofilo F. Gonzalez Exact and Approximation Algorithms for Finding an Optimal Bridge Connecting Two Simple Polygons . . . . . . . . . . . . 609 Anonymous Author Index Volume 15 (2005) . . . . . 631
Esther M. Arkin and Ferran Hurtado and Joseph S. B. Mitchell and Carlos Seara and Steven S. Skiena Some Lower Bounds on Geometric Separability Problems . . . . . . . . . 1 Dominique Michelucci and Sebti Foufou Interval-Based Tracing of Strange Attractors . . . . . . . . . . . . . . . 27 Kai Tang and Charlie C. L. Wang and Danny Z. Chen Minimum Area Convex Packing of Two Convex Polygons . . . . . . . . . . . . 41 Guoliang Xu Discrete Laplace--Beltrami Operator on Sphere and Optimal Spherical Triangulations . . . . . . . . . . . . . 75
Rudolf Fleischer Guest Editor's Foreword . . . . . . . . 95 Boris Aronov and Tetsuo Asano and Naoki Katoh and Kurt Mehlhorn and Takeshi Tokuyama Polyline Fitting of Planar Points Under Min-Sum Criteria . . . . . . . . . . . . 97 Sang Won Bae and Kyung-Yong Chwa Voronoi Diagrams for a Transportation Network on the Euclidean Plane . . . . . 117 Timothy M. Chan and Bashir S. Sadjad Geometric Optimization Problems Over Sliding Windows . . . . . . . . . . . . 145 Chao Chen and Ho-Lun Cheng Superimposing Voronoi Complexes for Shape Deformation . . . . . . . . . . . 159 Danny Z. Chen and Xiaobo X. Hu and Shuang Luan and Shahid A. Naqvi and Chao Wang and Cedric X. Yu Generalized Geometric Approaches for Leaf Sequencing Problems in Radiation Therapy . . . . . . . . . . . . . . . . 175 Kyung-Yong Chwa and Byung-Cheol Jo and Christian Knauer and Esther Moet and René Van Oostrum and Chan-Su Shin Guarding Art Galleries by Guarding Witnesses . . . . . . . . . . . . . . . 205 Ovidiu Daescu and Jun Luo Cutting Out Polygons with Lines and Rays 227 Kazuyuki Miura and Hiroki Haga and Takao Nishizeki Inner Rectangular Drawings of Plane Graphs . . . . . . . . . . . . . . . . . 249 Richard J. Nowakowski and Norbert Zeh Boundary-Optimal Triangulation Flooding 271
Erik Carlsson and Gunnar Carlsson and Vin De Silva An Algebraic Topological Method for Feature Identification . . . . . . . . . 291 J. M. Díaz-Báñez and F. Gómez and I. Ventura The Anchored Voronoi Diagram: Static, Dynamic Versions and Applications . . . 315 Moshe Dror and Yusin Lee and James B. Orlin and Valentin Polishchuk The TSP and the Sum of Its Marginal Values . . . . . . . . . . . . . . . . . 333 Stephane Durocher and David Kirkpatrick The Steiner Centre of a Set of Points: Stability, Eccentricity, and Applications to Mobile Facility Location 345 Joseph O'Rourke Computational Geometry Column 47 . . . . 373
Xiao-Shan Gao and Dominique Michelucci Guest Editors' Foreword . . . . . . . . 377 Christophe Jermann and Gilles Trombettoni and Bertrand Neveu and Pascal Mathis Decomposition of Geometric Constraint Systems: a Survey . . . . . . . . . . . 379 Bill Jackson and Tibor Jordán On the Rank Function of the $3$-Dimensional Rigidity Matroid . . . . 415 Pascal Schreck and Pascal Mathis Geometrical Constraint System Decomposition: a Multi-Group Approach 431 Dominique Michelucci and Pascal Schreck Incidence Constraints: a Combinatorial Approach . . . . . . . . . . . . . . . . 443 Gui-Fang Zhang and Xiao-Shan Gao Well-Constrained Completion and Decomposition for Under-Constrained Geometric Constraint Problems . . . . . 461 Gilles Trombettoni and Marta Wilczkowiak GPDOF --- a Fast Algorithm to Decompose Under-Constrained Geometric Constraint Systems: Application to $3$D Modeling 479 Ming Zhang and Liqun Wang and Ronald Goldman Bézier Subdivision for Inverse Molecular Kinematics . . . . . . . . . . . . . . . 513 Lu Yang Solving Spatial Constraints with Global Distance Coordinate System . . . . . . . 533 Philippe Serré and Auxkin Ortuzar and Alain Rivi\`ere Non-Cartesian Modelling for Analysis of the Consistency of a Geometric Specification for Conceptual Design . . 549 Ee-Chien Chang and Sung Woo Choi and Do Yong Kwon and Hyungju Park and Chee K. Yap Shortest Path Amidst Disc Obstacles Is Computable . . . . . . . . . . . . . . . 567 Meera Sitharam Well-Formed Systems of Point Incidences for Resolving Collections of Rigid Bodies . . . . . . . . . . . . . . . . . 591 Anonymous Author Index Volume 16 (2006) . . . . . 617
Daniel A. Spielman and Shang-Hua Teng and Alper Üngör Parallel Delaunay Refinement: Algorithms and Analyses . . . . . . . . . . . . . . 1--30 Mireille Boutin and Gregor Kemper Which Point Configurations Are Determined by the Distribution of Their Pairwise Distances? . . . . . . . . . . 31--43 Jae-Sook Cheong and A. Frank Van Der Stappen and Ken Goldberg and Mark H. Overmars and Elon Rimon Immobilizing Hinged Polygons . . . . . . 45--69 Nargess Memarsadeghi and David M. Mount and Nathan S. Netanyahu and Jacqueline Le Moigne A Fast Implementation of the ISODATA Clustering Algorithm . . . . . . . . . . 71--103
Chris Worman and J. Mark Keil Polygon Decomposition and the Orthogonal Art Gallery Problem . . . . . . . . . . 105--138 Emilio Di Giacomo and Giuseppe Liotta Simultaneous Embedding of Outerplanar Graphs, Paths, and Cycles . . . . . . . 139--160 Stefan Kirchner An FPTAS for Computing the Similarity of Three-Dimensional Point Sets . . . . . . 161--174 Victor Milenkovic and Elisha Sacks An Approximate Arrangement Algorithm for Semi-Algebraic Curves . . . . . . . . . 175--198
Li Zhang Guest Editor's Foreword . . . . . . . . 199--200 Annette Ebbers-Baumann and Ansgar Grüne and Rolf Klein and Marek Karpinski and Christian Knauer and Andrzej Lingas Embedding Point Sets into Plane Graphs of Small Dilation . . . . . . . . . . . 201--230 Matthias Müller-Hannemann and Anna Schulze Hardness and Approximation of Octilinear Steiner Trees . . . . . . . . . . . . . 231--260 Xiaodong Wu and Danny Z. Chen and Kang Li and Milan Sonka The Layered Net Surface Problems in Discrete Geometry and Medical Image Segmentation . . . . . . . . . . . . . . 261--296
Olivier Devillers and Vida Dujmovi\'c and Hazel Everett and Samuel Hornus and Sue Whitesides and Steve Wismath Maintaining Visibility Information of Planar Point Sets with a Moving Viewpoint . . . . . . . . . . . . . . . 297--304 Sahand Jamal Rahi and Kim Sharp Mapping Complicated Surfaces Onto a Sphere . . . . . . . . . . . . . . . . . 305--329 Esther Moet and Marc Van Kreveld and René Van Oostrum Region Intervisibility in Terrains . . . 331--347 Otfried Cheong and Hazel Everett and Hyo-Sil Kim and Sylvain Lazard and René Schott Parabola Separation Queries and Their Application to Stone Throwing . . . . . 349--360 Hazel Everett and Sylvain Lazard and Sylvain Petitjean and Linqiao Zhang On the Expected Size of the $2$D Visibility Complex . . . . . . . . . . . 361--381 Victor Milenkovic and Elisha Sacks A Monotonic Convolution for Minkowski Sums . . . . . . . . . . . . . . . . . . 383--396 Joseph O'Rourke Computational Geometry Column 48 . . . . 397--399
Leif Kobbelt and Vadim Shapiro Guest Editor's Foreword . . . . . . . . 401--402 Frederic Chazal and Andre Lieutier and Jarek Rossignac Normal-Map Between Normal-Compatible Manifolds . . . . . . . . . . . . . . . 403--421 Avneesh Sud and Mark Foskey and Dinesh Manocha Homotopy-Preserving Medial Axis Simplification . . . . . . . . . . . . . 423--451 I. Hanniel and M. Ramanathan and G. Elber and M.-S. Kim Precise Voronoi Cell Extraction of Free-Form Planar Piecewise $ C^1 $-Continuous Closed Rational Curves . . 453--486 Jason Williams and Jarek Rossignac Tightening: Morphological Simplification 487--503 Friedrich Eisenbrand and Stefan Funke and Andreas Karrenbauer and Joachim Reichel and Elmar Schömer Packing a Truck --- Now With a Twist! 505--527
Prosenjit Bose and Narcís Coll and Ferran Hurtado and J. Antoni Sellar\`es A General Approximation Algorithm for Planar Maps with Applications . . . . . 529--554 Paul Harrington and Colm Ó. Dúnlaing and Chee K. Yap Optimal Voronoi Diagram Construction With n Convex Sites In Three Dimensions 555--593 F. Betul Atalay and David M. Mount Pointerless Implementation of Hierarchical Simplicial Meshes and Efficient Neighbor Finding in Arbitrary Dimensions . . . . . . . . . . . . . . . 595--631 Anonymous Author Index Volume 17 (2007) . . . . . 633--635
Alon Efrat Guest Editor's Foreword . . . . . . . . 1--2 Gereon Frahling and Piotr Indyk and Christian Sohler Sampling in Dynamic Data Streams and Applications . . . . . . . . . . . . . . 3--28 Tamal K. Dey and Joachim Giesen and Edgar A. Ramos and Bardia Sadri Critical Points of Distance to an $ \epsilon $-Sampling of a Surface and Flow-Complex-Based Surface Reconstruction . . . . . . . . . . . . . 29--61 Danny Z. Chen and Xiaobo S. Hu and Chao Wang and Shuang Luan and Xiaodong Wu Mountain Reduction, Block Matching, and Applications in Intensity-Modulated Radiation Therapy . . . . . . . . . . . 63--106 Friedrich Eisenbrand and Stefan Funke and Andreas Karrenbauer and Domagoj Matijevic Energy-Aware Stage Illumination . . . . 107--129 David Eppstein and Michael T. Goodrich and Jonathan Z. Sun Skip Quadtrees: Dynamic Data Structures for Multidimensional Point Sets . . . . 131--160
Stephane Durocher and David Kirkpatrick Bounded-Velocity Approximation of Mobile Euclidean 2-Centres . . . . . . . . . . 161--183 Magdalene Grantson Borgelt and Christian Borgelt and Christos Levcopoulos Fixed Parameter Algorithms for the Minimum Weight Triangulation Problem . . 185--220 Martin Heimlich and Martin Held Biarc Approximation, Simplification and Smoothing of Polygonal Curves by Means of Voronoi-Based Tolerance Bands . . . . 221--250 Fabrizio Frati On Minimum Area Planar Upward Drawings of Directed Trees and Other Families of Directed Acyclic Graphs . . . . . . . . 251--271
Kokichi Sugihara and Deok-Soo Kim Guest Editors' Foreword . . . . . . . . 273--274 Robert Görke and Chan-Su Shin and Alexander Wolff Constructing the City Voronoi Diagram Faster . . . . . . . . . . . . . . . . . 275--294 Manuel Abellanas and Ferran Hurtado and Belén Palop The Heavy Luggage Metric . . . . . . . . 295--306 Helmut Alt and Ludmila Scharf Computing the Hausdorff Distance Between Curved Objects . . . . . . . . . . . . . 307--320 Hisamoto Hiyoshi Stable Computation of Natural Neighbor Interpolation . . . . . . . . . . . . . 321--341 Yuanxin Liu and Jack Snoeyink Faraway Point: a Sentinel Point for Delaunay Computation . . . . . . . . . . 343--355 Hayong Shin and Seyoun Park and Eonjin Park and Deok-Soo Kim Voronoi Diagram of a Polygon in Chessboard Metric and Maskless Lithographic Applications . . . . . . . 357--371
Sergey Bereg and Adrian Dumitrescu and János Pach Sliding Disks in the Plane . . . . . . . 373--387 Bin Fu and Sorinel A. Oprisan and Lizhe Xu Multi-Directional Width-Bounded Geometric Separator and Protein Folding 389--413 Siu-Wing Cheng and Yajun Wang and Zhuangzhi Wu Provable Dimension Detection Using Principal Component Analysis . . . . . . 415--440 Giorgio Scorzelli and Alberto Paoluzzi and Valerio Pascucci Parallel Solid Modeling Using BSP Dataflow . . . . . . . . . . . . . . . . 441--467 Gill Barequet and Aya Steiner On the Matability of Polygons . . . . . 469--506
Nina Amenta and Otfried Cheong Guest Editors' Foreword . . . . . . . . 507--508 François Labelle Sliver Removal by Lattice Refinement . . 509--532 Joachim Giesen and Edgar A. Ramos and Bardia Sadri Medial Axis Approximation and Unstable Flow Complex . . . . . . . . . . . . . . 533--565 Ioannis Z. Emiris and Elias P. Tsigaridas and George M. Tzoumas The Predicates for the Exact Voronoi Diagram of Ellipses Under the Euclidean Metric . . . . . . . . . . . . . . . . . 567--597 Noga Alon and Shakhar Smorodinsky Conflict-Free Colorings of Shallow Discs 599--604 Gereon Frahling and Christian Sohler A Fast $k$-Means Implementation Using Coresets . . . . . . . . . . . . . . . . 605--625 Anonymous Author Index Volume 18 (2008) . . . . . 627--629
Tetsuo Asano Guest Editor's Foreword . . . . . . . . 93--93 Sang Won Bae and Jae-Hoon Kim and Kyung-Yong Chwa Optimal Construction of the City Voronoi Diagram . . . . . . . . . . . . . . . . 95--117 Prosenjit Bose and Michiel Smid and Daming Xu Delaunay and Diamond Triangulations Contain Spanners of Bounded Degree . . . 119--140 Xiaodong Wu Efficient Algorithms for the Optimal-Ratio Region Detection Problems in Discrete Geometry with Applications 141--159 Yusu Wang Relations Between Two Common Types of Rectangular Tilings . . . . . . . . . . 161--172 Khaled Elbassioni and Aleksei V. Fishkin and René Sitters Approximation Algorithms for the Euclidean Traveling Salesman Problem with Discrete and Continuous Neighborhoods . . . . . . . . . . . . . 173--193 Scott E. Dillard and Vijay Natarajan and Gunther H. Weber and Valerio Pascucci and Bernd Hamann Topology-Guided Tessellation Of Quadratic Elements . . . . . . . . . . . 195--211
Danny Z. Chen and D. T. Lee Editors' Foreword . . . . . . . . . . . 213--214 Gadi Aleksandrowicz and Gill Barequet Counting $d$-Dimensional Polycubes and Nonrectangular Planar Polyominoes . . . 215--229 Xiaodong Wu and Xin Dou and John E. Bayouth and John M. Buatti Efficient Algorithm for Optimal Matrix Orthogonal Decomposition Problem in Intensity-Modulated Radiation Therapy 231--246 Mattias Andersson and Joachim Gudmundsson and Christos Levcopoulos Restricted Mesh Simplification Using Edge Contractions . . . . . . . . . . . 247--265 Marc Benkert and Joachim Gudmundsson and Christian Knauer and René Van Oostrum and Alexander Wolff A Polynomial-Time Approximation Algorithm for a Geometric Dispersion Problem . . . . . . . . . . . . . . . . 267--288 Sheung-Hung Poon On Unfolding Lattice Polygons/Trees and Diameter-4 Trees . . . . . . . . . . . . 289--321
Jon Rokne Guest Editor's Foreword . . . . . . . . 323--324 Stefan Porschen On Rectangular Covering Problems . . . . 325--340 Marina L. Gavrilova Determining a Set of Maximum Inscribed Rectangles for Label Placement in a Region . . . . . . . . . . . . . . . . . 341--356 Debabrata Bardhan and Sansanka Roy and Sandip Das Guard Placement for Maximizing $L$-Visibility Exterior to a Convex Polygon . . . . . . . . . . . . . . . . 357--370 D. Jiang and N. F. Stewart Floating-Point Arithmetic for Computational Geometry Problems with Uncertain Data . . . . . . . . . . . . . 371--385
Deok-Soo Kim Guest Editor's Foreword . . . . . . . . 387--388 Frank Nielsen and Richard Nock Approximating Smallest Enclosing Balls with Applications to Machine Learning 389--414 Marina L. Gavrilova An Explicit Solution for Computing the Vertices of the Euclidean $d$-Dimensional Voronoi Diagram of Spheres in a Floating-Point Arithmetic 415--424 Tetsushi Nishida and Kokichi Sugihara Boat-Sail Voronoi Diagram and Its Application . . . . . . . . . . . . . . 425--440 Henk Bekker and Axel A. Brink and Jos B. T. M. Roerdink Reducing the Time Complexity and Identifying Ill-Posed Problem Instances of Minkowski Sum Based Similarity Calculations . . . . . . . . . . . . . . 441--456 Sandip Das and Partha P. Goswami and Subhas C. Nandy Smallest Color-Spanning Object Revisited 457--478
Prosenjit Gupta and Ravi Janardan and Michiel Smid Efficient Non-Intersection Queries on Aggregated Geometric Data . . . . . . . 479--506 Jean Cardinal and Martine Labbé and Stefan Langerman and Belén Palop Pricing Geometric Transportation Networks . . . . . . . . . . . . . . . . 507--520 C. J. Sangwin Deceiving the $V$-Block Method for Assessment of Departure from Roundness 521--532 Sergio Cabello and Mark De Berg and Panos Giannopoulos and Christian Knauer and René Van Oostrum and Remco C. Veltkamp Maximizing the Area of Overlap of Two Unions of Disks Under Rigid Motion . . . 533--556 Asish Mukhopadhyay and Eugene Greene and S. V. Rao On Intersecting a Set of Isothetic Line Segments with a Convex Polygon of Minimum Area . . . . . . . . . . . . . . 557--577 Yefim Dinitz and Matthew J. Katz and Roi Krakovski Guarding Rectangular Partitions . . . . 579--594 Manuel Abellanas and Prosenjit Bose and Jesús García and Ferran Hurtado and Carlos M. Nicolás and Pedro Ramos On Structural and Graph Theoretic Properties of Higher Order Delaunay Graphs . . . . . . . . . . . . . . . . . 595--615 Anonymous Author Index Volume 19 (2009) . . . . . 617--619
Takeshi Tokuyama Foreword . . . . . . . . . . . . . . . . 1--2 Eric Y. Chen Geometric Streaming Algorithm with a Sorting Primitive . . . . . . . . . . . 3--18 Marc Benkert and Bojan Djordjevic and Joachim Gudmundsson and Thomas Wolle Finding Popular Places . . . . . . . . . 19--42 Jinhui Xu and Yang Yang and Yongding Zhu and Naoki Katoh A Geometric Spanner of Segments . . . . 43--67 Hee-Kap Ahn and Mohammad Farshi and Christian Knauer and Michiel Smid and Yajun Wang Dilation-Optimal Edge Deletion in Polygonal Cycles . . . . . . . . . . . . 69--87 Boris Aronov and Tetsuo Asano and Stefan Funke Optimal Triangulations of Points and Segments with Steiner Points . . . . . . 89--104
Sergey Bereg and Adrian Dumitrescu and Minghui Jiang Maximum Area Independent Sets in Disk Intersection Graphs . . . . . . . . . . 105--118 Pengpeng Wang and Ramesh Krishnamurti and Kamal Gupta Generalized Watchman Route Problem with Discrete View Cost . . . . . . . . . . . 119--146 Panos Giannopoulos and Rolf Klein and Christian Knauer and Martin Kutz and Dániel Marx Computing Geometric Minimum-Dilation Graphs Is NP-Hard . . . . . . . . . . . 147--173 Tsunehiko Kameda and John Z. Zhang Finding All Door Locations That Make a Room Searchable . . . . . . . . . . . . 175--201 Mark De Berg and Elena Mumford and Bettina Speckmann Optimal BSPs and Rectilinear Cartograms 203--222 Andrzej \.Zak Dissections of Polygons into Convex Polygons . . . . . . . . . . . . . . . . 223--244
Erik D. Demaine and John Iacono and Stefan Langerman Grid Vertex-Unfolding Orthostacks . . . 245--254 Yoav Gabriely and Elon Rimon Competitive Complexity of Mobile Robot On-Line Motion Planning Problems . . . . 255--283 Frédéric Chazal and André Lieutier and Jarek Rossignac and Brian Whited Ball-Map: Homeomorphism Between Compatible Surfaces . . . . . . . . . . 285--306 Tom Kamphans and Elmar Langetepe Leaving an Unknown Maze Using an Error-Prone Compass . . . . . . . . . . 307--325 Peter Brass and Hyeon-Suk Na and Chan-Su Shin Guarding a Polygon from Two Nearly-Opposite Directions . . . . . . . 327--339 Peter Brass and Ferran Hurtado and Benjamin Lafreniere and Anna Lubiw A Lower Bound on the Area of a 3-Coloured Disk Packing . . . . . . . . 341--360 Rodrigo I. Silveira and René Van Oostrum Flooding Countries and Destroying Dams 361--380
Chris Gray and Maarten Löffler and Rodrigo I. Silveira Smoothing Imprecise $ 1.5 $D Terrains 381--414 Sanjiv Kapoor and Xiang-Yang Li Proximity Structures for Geometric Graphs . . . . . . . . . . . . . . . . . 415--429 Pankaj Kumar and Piyush Kumar Almost Optimal Solutions To $k$-Clustering Problems . . . . . . . . 431--447 Danny Z. Chen and Ewa Misio\lek Finding Many Optimal Paths Without Growing Any Optimal Path Trees . . . . . 449--469 Sergey Bereg and Kevin Buchin and Maike Buchin and Marina Gavrilova and Binhai Zhu Voronoi Diagram of Polygonal Chains Under the Discrete Fréchet Distance . . . 471--484 Victor Milenkovic and Elisha Sacks Two Approximate Minkowski Sum Algorithms 485--509
Andrea Anghinolfi and Luca Costa and Massimo Ferri and Enrico Viarani A Covering Projection for Robot Navigation Under Strong Anisotropy . . . 511--525 M. Kano and Miyuki Uno Balanced Subdivisions with Boundary Condition of Two Sets of Points in the Plane . . . . . . . . . . . . . . . . . 527--541 Ranjith Unnikrishnan and Jean-François Lalonde and Nicolas Vandapel and Martial Hebert Scale Selection for Geometric Fitting in Noisy Point Clouds . . . . . . . . . . . 543--575 Emilio Di Giacomo and Walter Didimo and Giuseppe Liotta and Henk Meijer and Stephen K. Wismath Constrained Point-Set Embeddability of Planar Graphs . . . . . . . . . . . . . 577--600 Yoav Amit and Joseph S. B. Mitchell and Eli Packer Locating Guards for Visibility Coverage of Polygons . . . . . . . . . . . . . . 601--630
Meera Sitharam and Yong Zhou and Jörg Peters Reconciling Conflicting Combinatorial Preprocessors for Geometric Constraint Systems . . . . . . . . . . . . . . . . 631--651 Josh Brown Kramer and Lucas Sabalka Multidimensional Online Motion Planning for a Spherical Robot . . . . . . . . . 653--684 Bill Jackson and Tibor Jordán Operations Preserving Global Rigidity of Generic Direction-Length Frameworks . . 685--706 Victor Chepoi and Karim Nouioua and Edouard Thiel and Yann Vax\`es Pareto Envelopes in Simple Polygons . . 707--721 J. C. Owen and S. C. Power Frameworks Symmetry and Rigidity . . . . 723--750 Anonymous Author Index Volume 20 (2010) . . . . . 751--754
Maarten Löffler Existence and Computation of Tours Through Imprecise Points . . . . . . . . 1--24 Prosenjit Bose and Merc\`e Mora and Carlos Seara and Saurabh Sethia On Computing Enclosing Isosceles Triangles and Related Problems . . . . . 25--45 Oswin Aichholzer and Franz Aurenhammer and Thomas Hackl and Bert Jüttler and Margot Rabl and Zbynek \vSír Computational and Structural Advantages of Circular Boundary Representation . . 47--69 Md. Ashraful Alam and Masud Hasan Computing Nice Projections of Convex Polyhedra . . . . . . . . . . . . . . . 71--85 Greg Aloupis and Prosenjit Bose and Erik D. Demaine and Stefan Langerman and Henk Meijer and Mark Overmars and Godfried T. Toussaint Computing Signed Permutations of Polygons . . . . . . . . . . . . . . . . 87--100 Karl J. Obermeyer and Anurag Ganguli and Francesco Bullo A Complete Algorithm for Searchlight Scheduling . . . . . . . . . . . . . . . 101--130
John Reif and Sam Slee Asymptotically Optimal Kinodynamic Motion Planning for a Class of Modular Self-Reconfigurable Robots . . . . . . . 131--155 Peter Brass and Christian Knauer and Hyeon-Suk Na and Chan-Su Shin and Antoine Vigneron The Aligned $K$-Center Problem . . . . . 157--178 Otfried Cheong and Antoine Vigneron and Juyoung Yon Reverse Nearest Neighbor Queries in Fixed Dimension . . . . . . . . . . . . 179--188 Vladimir Estivill-Castro and Apichat Heednacram and Francis Suraweera FPT-Algorithms for Minimum-Bends Tours 189--213 Therese Biedl and Masud Hasan and Alejandro López-Ortiz Reconstructing Convex Polygons and Convex Polyhedra from Edge and Face Counts in Orthogonal Projections . . . . 215--239 Matthew J. Katz and Gila Morgenstern Guarding Orthogonal Art Galleries with Sliding Cameras . . . . . . . . . . . . 241--250
Seok-Hee Hong and Hiroshi Nagamochi Guest Editors' Foreword . . . . . . . . 251--252 Kevin Buchin and Maike Buchin and Joachim Gudmundsson and Maarten Löffler and Jun Luo Detecting Commuting Patterns by Clustering Subtrajectories . . . . . . . 253--282 Cheng-Wei Luo and Hsiao-Fei Liu and Peng-An Chen and Kun-Mao Chao Minkowski Sum Selection and Finding . . 283--311 Sang-Sub Kim and Sang Won Bae and Hee-Kap Ahn Covering a Point Set by Two Disjoint Rectangles . . . . . . . . . . . . . . . 313--330 Zeyu Guo and He Sun and Hong Zhu Greedy Construction of 2-Approximate Minimum Manhattan Networks . . . . . . . 331--350 Ludmila Scharf and Marc Scherfenberg Inducing Polygons of Line Arrangements 351--368 Christian Knauer and Marc Scherfenberg Approximate Nearest Neighbor Search Under Translation Invariant Hausdorff Distance . . . . . . . . . . . . . . . . 369--381
Therese Biedl and Burkay Genç Stoker's Theorem for Orthogonal Polyhedra . . . . . . . . . . . . . . . 383--391 Luca Castelli Aleardi and Olivier Devillers and Abdelkrim Mebarki Catalog-Based Representation of $2$D Triangulations . . . . . . . . . . . . . 393--402 Guillaume Batog and Xavier Goaoc Inflating Balls is NP-Hard . . . . . . . 403--415 Chansophea Chuon and Sumanta Guha and Paul Janecek and Nguyen Duc Cong Song Simplipoly: Curvature-Based Polygonal Curve Simplification . . . . . . . . . . 417--429 Mustaq Ahmed and Anna Lubiw Shortest Descending Paths: Towards an Exact Algorithm . . . . . . . . . . . . 431--466 Thiago R. Dos Santos and Hans-Peter Meinzer and Lena Maier-Hein Extending the Doubly Linked Face List for the Representation of 2-Pseudomanifolds and 2-Manifolds with Boundaries . . . . . . . . . . . . . . . 467--494
Khaled Elbassioni and Amr Elmasry and Kazuhisa Makino Finding Simplices Containing the Origin in Two and Three Dimensions . . . . . . 495--506 Alexander Rand and Noel Walkington Delaunay Refinement Algorithms for Estimating Local Feature Size in $2$D and $3$D . . . . . . . . . . . . . . . . 507--543 A. M. Berkoff and J. M. Henle and A. E. Mcdonough and A. P. Wesolowski Possibilities and Impossibilities in Square-Tiling . . . . . . . . . . . . . 545--558 Guilherme D. Da Fonseca Fitting Flats to Points with Outliers 559--569 Serge Gosselin and Carl Ollivier-Gooch Constructing Constrained Delaunay Tetrahedralizations of Volumes Bounded by Piecewise Smooth Surfaces . . . . . . 571--594
Magdalene G. Borgelt and Marc Van Kreveld and Jun Luo Geodesic Disks and Clustering in a Simple Polygon . . . . . . . . . . . . . 595--608 Danny Z. Chen and Ewa Misio\lek Free-Form Surface Partition in $3$-D . . 609--634 Wael El Oraiby and Dominique Schmitt and Jean-Claude Spehner Centroid Triangulations From $k$-Sets 635--659 Hirofumi Aota and Takuro Fukunaga and Hiroshi Nagamochi An Approximation Algorithm for Locating Maximal Disks Within Convex Polygons . . 661--684 A. Karim Abu-Affash and Paz Carmi and Matthew J. Katz and Gila Morgenstern Multi Cover of a Polygon Minimizing the Sum of Areas . . . . . . . . . . . . . . 685--698 Anonymous Author Index Volume 21 (2011) . . . . . 699--702
Otfried Cheong and Yoshio Okamoto Guest Editors' Foreword . . . . . . . . 1 Sang Won Bae and Chan-Su Shin The Onion Diagram: a Voronoi-Like Tessellation of a Planar Line Space and Its Applications . . . . . . . . . . . . 3 Hee-Kap Ahn and Christian Knauer and Marc Scherfenberg and Lena Schlipf and Antoine Vigneron Computing the Discrete Fréchet Distance with Imprecise Input . . . . . . . . . . 27 Christian Wulff-Nilsen and Ansgar Grüne and Rolf Klein and Elmar Langetepe and D. T. Lee and Tien-Ching Lin and Sheung-Hung Poon and Teng-Kai Yu Computing the Stretch Factor and Maximum Detour of Paths, Trees, and Cycles in the Normed Space . . . . . . . . . . . . 45 Prosenjit Bose and Mirela Damian and Karim Douïeb and Joseph O'Rourke and Ben Seamone and Michiel Smid and Stefanie Wuhrer $ \pi / 2 $-Angle Yao graphs Are Spanners . . . . . . . . . . . . . . . . 61 Siu-Wing Cheng and Jiongxin Jin and Antoine Vigneron and Yajun Wang Approximate Shortest Homotopic Paths in Weighted Regions . . . . . . . . . . . . 83
Andrzej Lingas and Agnieszka Wasylewicz and Pawe\l \.Zyli\'nski Linear-Time $3$-Approximation Algorithm for the $r$-Star Covering Problem . . . 103 Esther M. Arkin and Delia Garijo and Alberto Márquez and Joseph S. B. Mitchell and Carlos Seara Separability of Point Sets by $k$-Level Linear Classification Trees . . . . . . 143 Jan B. Zernisch A Generalization of a Theorem of Kleitman and Krieger . . . . . . . . . . 167
Mark De Berg and Amirali Khosravi Optimal Binary Space Partitions for Segments in the Plane . . . . . . . . . 187 David Charlton and Erik D. Demaine and Martin L. Demaine and Vida Dujmovi\'c and Pat Morin and Ryuhei Uehara Ghost Chimneys . . . . . . . . . . . . . 207 Danny Z. Chen and Haitao Wang Fitting a Step Function to a Point Set with Outliers Based on Simplicial Thickness Data Structures . . . . . . . 215 Giovanni Viglietta Searching Polyhedra by Rotating Half-Planes . . . . . . . . . . . . . . 243
Ferran Hurtado and Marc Van Kreveld Guest Editors' Foreword . . . . . . . . 277 Dominique Attali and André Lieutier and David Salinas Efficient Data Structure for Representing and Simplifying Simplicial Complexes in High Dimensions . . . . . . 279 Mridul Aanjaneya and Frederic Chazal and Daniel Chen and Marc Glisse and Leonidas Guibas and Dmitriy Morozov Metric Graph Reconstruction from Noisy Data . . . . . . . . . . . . . . . . . . 305 John Iacono and Wolfgang Mulzer A Static Optimality Transformation with Applications to Planar Point Location 327 Timothy M. Chan Three Problems About Dynamic Convex Hulls . . . . . . . . . . . . . . . . . 341 Rishi Gupta and Piotr Indyk and Eric Price and Yaron Rachlin Compressive Sensing with Local Geometric Features . . . . . . . . . . . . . . . . 365
Danny Z. Chen and Haitao Wang Locating an Obnoxious Line Among Planar Objects . . . . . . . . . . . . . . . . 391 Gautam K. Das and Robert Fraser and Alejandro Lóopez-Ortiz and Bradford G. Nickerson On the Discrete Unit Disk Cover Problem 407 Carmen Cortés and Delia Garijo and María Ángeles Garrido and Clara I. Grima and Alberto Márquez and Auxiliadora Moreno-González and Jesús Valenzuela and María Trinidad Villar Reporting Bichromatic Segment Intersections from Point Sets . . . . . 421 Prosenjit Bose and Vida Dujmovi\'c and Ferran Hurtado and John Iacono and Stefan Langerman and Henk Meijer and Vera Sacristán and Maria Saumell and David R. Wood Proximity Graphs: $E$, $ \delta $, $ \Delta $, $ \chi $ and $ \omega $ . . . 439 Stefan Huber and Martin Held A Fast Straight-Skeleton Algorithm Based on Generalized Motorcycle Graphs . . . . 471
Thomas Binder and Thomas Martinetz On the Boundedness of an Iteration Involving Points on the Hypersphere . . 499 Yonatan Myers and Leo Joskowicz Point Set Distance and Orthogonal Range Problems with Dependent Geometric Uncertainties . . . . . . . . . . . . . 517 Hooman Reisi Dehkordi and Peter Eades Every Outer-$1$-Plane Graph Has a Right Angle Crossing Drawing . . . . . . . . . 543 Manuel Abellanas and Merc\`e Claverol and Gregorio Hernández and Ferran Hurtado and Vera Sacristán and Maria Saumell and Rodrigo I. Silveira Improving Shortest Paths in the Delaunay Triangulation . . . . . . . . . . . . . 559 Viet-Hang Nguyen $1$-Extensions and Global Rigidity of Generic Direction-Length Frameworks . . 577 Anonymous Author Index Volume 22 (2012) . . . . . 593
Victor Milenkovic and Elisha Sacks and Steven Trac Planar Shape Manipulation Using Approximate Geometric Primitives . . . . 1 Mark De Berg and Dirk H. P. Gerrits Computing Push Plans for Disk-Shaped Robots . . . . . . . . . . . . . . . . . 29 Steve Butler and Erik Demaine and Ron Graham and Tomohiro Tachi Constructing Points Through Folding and Intersection . . . . . . . . . . . . . . 49 Toshihiro Shirakawa and Ryuhei Uehara Common Developments of Three Incongruent Orthogonal Boxes . . . . . . . . . . . . 65
Takao Asano and Shin-Ichi Nakano and Yoshio Okamoto Guest Editors' Foreword . . . . . . . . 73 Zachary Abel and Erik D. Demaine and Martin L. Demaine and Sarah Eisenstat and Jayson Lynch and Tao B. Schardl and Isaac Shapiro-Ellowitz Folding Equilateral Plane Graphs . . . . 75 Patrizio Angelini and Giuseppe Di Battista and Fabrizio Frati Simultaneous Embedding of Embedded Planar Graphs . . . . . . . . . . . . . 93 Adrian Dumitrescu and Masud Hasan Cutting Out Polygons with a Circular Saw 127 Yakov Nekrich External Memory Orthogonal Range Reporting with Fast Updates . . . . . . 141
Otfried Cheong and Changryeol Lee Single-Source Dilation-Bounded Minimum Spanning Trees . . . . . . . . . . . . . 159 P. A. Grossman and M. Brazil and J. H. Rubinstein and D. A. Thomas Minimal Curvature-Constrained Paths in the Plane with a Constraint on Arcs with Opposite Orientations . . . . . . . . . 171 Tirasan Khandhawit and Dimitrios Pagonakis and Sira Sriswasdi Lower Bound for Convex Hull Area and Universal Cover Problems . . . . . . . . 197 Ferran Hurtado and Giuseppe Liotta and David R. Wood Proximity Drawings of High-Degree Trees 213
Gill Barequet Editor's Foreword . . . . . . . . . . . 231 Peyman Afshani Improved Pointer Machine and I/O Lower Bounds for Simplex Range Reporting and Related Problems . . . . . . . . . . . . 233 Amirali Abdullah and John Moeller and Suresh Venkatasubramanian Approximate Bregman Near Neighbors in Sublinear Time: Beyond the Triangle Inequality . . . . . . . . . . . . . . . 253 Jean-Daniel Boissonnat and Ramsay Dyer and Arijit Ghosh The Stability of Delaunay Triangulations 303 Haim Kaplan and Micha Sharir Finding the Largest Empty Disk Containing a Query Point . . . . . . . . 335 Therese Biedl and Martin Vatshelle The Point-Set Embeddability Problem for Plane Graphs . . . . . . . . . . . . . . 357 Ioannis Z. Emiris and Vissarion Fisikopoulos and Christos Konaxis and Luis Peñaranda An Oracle-Based, Output-Sensitive Algorithm for Projections of Resultant Polytopes . . . . . . . . . . . . . . . 397
Kun-Mao Chao and Tsan-Sheng Hsu and Der-Tsai Lee Guest Editors' Foreword . . . . . . . . 425 Stephane Durocher and Alexandre Leblanc and Jason Morrison and Matthew Skala Robust Nonparametric Simplification of Polygonal Chains . . . . . . . . . . . . 427 Evanthia Papadopoulou and Sandeep Kumar Dey On the Farthest Line-Segment Voronoi Diagram . . . . . . . . . . . . . . . . 443 Minati De and Gautam K. Das and Paz Carmi and Subhas C. Nandy Approximation Algorithms for a Variant of Discrete Piercing Set Problem for Unit Disks . . . . . . . . . . . . . . . 461 Anonymous Author Index Volume 23 (2013) . . . . . 479
Daniela Maftuleac Algorithms for Distance Problems in Planar Complexes of Global Nonpositive Curvature . . . . . . . . . . . . . . . 1 Alexander Reshetov A Unistable Polyhedron with $ 14 $ Faces 39 Stefan Huber and Martin Held and Peter Meerwald and Roland Kwitt Topology-Preserving Watermarking of Vector Graphics . . . . . . . . . . . . 61
Marcus Brazil and Martin Zachariasen The Uniform Orientation Steiner Tree Problem Is NP-Hard . . . . . . . . . . . 87 Hee-Kap Ahn and Hyo-Sil Kim and Sang-Sub Kim and Wanbin Son Computing $k$ Centers over Streaming Data for Small $k$ . . . . . . . . . . . 107 Jean-Daniel Boissonnat and Ramsay Dyer and Arijit Ghosh Delaunay Stability Via Perturbations . . 125 Abhijeet Khopkar and Sathish Govindarajan Hardness Results for Computing Optimal Locally Gabriel Graphs . . . . . . . . . 153
J. M. Díaz-Báñez and R. Klein and J. Urrutia Editors' Foreword . . . . . . . . . . . 173 Ruy Fabila-Monroy and Clemens Huemer and Eul\`alia Tramuns Note on the Number of Obtuse Angles in Point Sets . . . . . . . . . . . . . . . 177 S. Bereg and J. M. Díaz-Báñez and M. Fort and M. A. Lopez and P. Pérez-Lantero and J. Urrutia Continuous Surveillance of Points by Rotating Floodlights . . . . . . . . . . 183 Oswin Aichholzer and Thomas Hackl and David Orden and Alexander Pilz and Maria Saumell and Birgit Vogtenhuber Flips in Combinatorial Pointed Pseudo-Triangulations with Face Degree at Most Four . . . . . . . . . . . . . . 197 David Kirkpatrick and Boting Yang and Sandra Zilles A Polynomial-Time Algorithm for Computing the Resilience of Arrangements of Ray Sensors . . . . . . . . . . . . . 225 Javier Cano and Ferran Hurtado and Jorge Urrutia Stabbing Simplices of Point Sets with $k$-Flats . . . . . . . . . . . . . . . 237 S. Bereg and R. Fabila-Monroy and D. Flores-Peñaloza and M. A. Lopez and P. Pérez-Lantero Embedding the Double Circle in a Square Grid of Minimum Size . . . . . . . . . . 247
Hee-Kap Ahn and Antoine Vigneron Guest Editors' Foreword . . . . . . . . 259 Wolfgang Mulzer and Yannik Stein Algorithms for Tolerant Tverberg Partitions . . . . . . . . . . . . . . . 261 Ferran Hurtado and Maarten Löffler and Inês Matos and Vera Sacristán and Maria Saumell and Rodrigo I. Silveira and Frank Staals Terrain Visibility with Multiple Viewpoints . . . . . . . . . . . . . . . 275 Oswin Aichholzer and Thomas Hackl and Matias Korman and Alexander Pilz and Birgit Vogtenhuber Geodesic-Preserving Polygon Simplification . . . . . . . . . . . . . 307 Patrizio Angelini and Thomas Bläsius and Ignaz Rutter Testing Mutual Duality of Planar Graphs 325 Cecilia Bohler and Rolf Klein Abstract Voronoi Diagrams with Disconnected Regions . . . . . . . . . . 347 Kevin Buchin and Dirk H. P. Gerrits Dynamic Point Labeling Is Strongly Pspace-Complete . . . . . . . . . . . . 373 Anonymous Author Index: Volume 24 (2014) . . . . . 397
Minghui Jiang On Covering Points with Minimum Turns 1 Vladimir Estivill-Castro Is It FPT to Cover Points with Tours on Minimum Number of Bends (Errata)? . . . 11 Bettina Speckmann and Kevin Verbeek Algorithms for Necklace Maps . . . . . . 15 David J. T. Liu and Qiang Du Optimization of Subdivision Invariant Tetrahedra . . . . . . . . . . . . . . . 37 Haitao Wang Aggregate-MAX Top-$k$ Nearest Neighbor Searching in the $ L_1$ Plane . . . . . 57
Brendan Ames and Andrew Beveridge and Rosalie Carlson and Claire Djang and Volkan Isler and Stephen Ragain and Maxray Savage A Leapfrog Strategy for Pursuit-Evasion in a Polygonal Environment . . . . . . . ?? David Eppstein and Marc van Kreveld and Bettina Speckmann and Frank Staals Improved Grid Map Layout by Point Set Matching . . . . . . . . . . . . . . . . ?? Evanthia Papadopoulou and Jinhui Xu The $ L_\infty $ Hausdorff Voronoi Diagram Revisited . . . . . . . . . . . ?? Julien André and Dominique Attali and Quentin Mérigot and Boris Thibert Far-Field Reflector Problem Under Design Constraints . . . . . . . . . . . . . . ??
Nabil H. Mustafa and Saurabh Ray and Nabil H. Mustafa $k$-Centerpoints Conjectures for Pointsets in $ \mathbb {R}^d$ . . . . . ?? Niccol\`o Cavazza and Massimo Ferri and Claudia Landi Estimating Multidimensional Persistent Homology Through a Finite Sampling . . . ?? Simon Willerton Spread: A Measure of the Size of Metric Spaces . . . . . . . . . . . . . . . . . ?? Paz Carmi and Gautam K. Das and Ramesh K. Jallu and Subhas C. Nandy and Prajwal R. Prasad and Yael Stein Minimum Dominating Set Problem for Unit Disks Revisited . . . . . . . . . . . . ??
John Gunnar Carlsson and Benjamin Armbruster and Saladi Rahul and Haritha Bellam A Bottleneck Matching Problem with Edge-Crossing Constraints . . . . . . . 245 Priya Ranjan Sinha Mahapatra and Partha P. Goswami and Sandip Das Placing Two Axis-Parallel Squares to Maximize the Number of Enclosed Points 263 Oswin Aichholzer and Franz Aurenhammer and Thomas Hackl and Clemens Huemer and Alexander Pilz and Birgit Vogtenhuber $3$-Colorability of Pseudo-Triangulations . . . . . . . . . 283 Frank Duque and Carlos Hidalgo-Toscano An Upper Bound on the $k$-Modem Illumination Problem . . . . . . . . . . 299 Anonymous Author Index Volume 25 (2015) . . . . . 309
Bodhayan Roy Point Visibility Graph Recognition is NP-Hard . . . . . . . . . . . . . . . . 1 Christian Scheffer More Flexible Curve Matching via the Partial Fréchet Similarity . . . . . . . 33 M. I. Schlesinger and E. V. Vodolazskiy and V. M. Yakovenko Fréchet Similarity of Closed Polygonal Curves . . . . . . . . . . . . . . . . . 53
Pradeesha Ashok and Sathish Govindarajan and Ninad Rajgopal Selection Lemmas for Various Geometric Objects . . . . . . . . . . . . . . . . 67 Adrian Dumitrescu and Anirban Ghosh Lower Bounds on the Dilation of Plane Spanners . . . . . . . . . . . . . . . . 89 Lucas Moutinho Bueno and Jorge Stolfi $3$-Colored Triangulation of $2$D Maps 111--133
Christian Knauer and Michiel Smid Guest Editors' Foreword . . . . . . . . iii--iv Prosenjit Bose and Pat Morin and André van Renssen The Price of Order . . . . . . . . . . . 135--149 Subhash Suri and Kevin Verbeek On the Most Likely Voronoi Diagram and Nearest Neighbor Searching . . . . . . . 151--166 Oswin Aichholzer and Jean Cardinal and Vincent Kusters and Stefan Langerman and Pavel Valtr Reconstructing Point Set Order Types from Radial Orderings . . . . . . . . . 167--184 Haitao Wang and Jingru Zhang Line-Constrained $k$-Median, $k$-Means, and $k$-Center Problems in the Plane . . 185--210 Therese Biedl and Stefan Huber and Peter Palfrader Planar Matchings for Weighted Straight Skeletons . . . . . . . . . . . . . . . 211--229 Anonymous Author Index Volume 26 (2016) . . . . . 231--231
Mark de Berg and Adrian Dumitrescu and Khaled Elbassioni Guest Editors' Foreword . . . . . . . . 1--2 Siu-Wing Cheng and Man-Kit Lau Adaptive Point Location in Planar Convex Subdivisions . . . . . . . . . . . . . . 3--12 Siu-Wing Cheng and Man-Kwun Chiu and Jiongxin Jin and Antoine Vigneron Navigating Weighted Regions with Scattered Skinny Tetrahedra . . . . . . 13--32 Yi-Jun Chang and Hsu-Chun Yen Improved Algorithms for Grid-Unfolding Orthogonal Polyhedra . . . . . . . . . . 33--56 Oswin Aichholzer and Vincent Kusters and Wolfgang Mulzer and Alexander Pilz and Manuel Wettstein An Optimal Algorithm for Reconstructing Point Set Order Types from Radial Orderings . . . . . . . . . . . . . . . 57--83 Karl Bringmann and Marvin Künnemann Improved Approximation for Fréchet Distance on $c$-Packed Curves Matching Conditional Lower Bounds . . . . . . . . 85--119 Martin Nöllenburg and Roman Prutkin and Ignaz Rutter Partitioning Graph Drawings and Triangulated Simple Polygons into Greedily Routable Regions . . . . . . . 121--158
Helmut Alt and Sergio Cabello and Panos Giannopoulos and Christian Knauer Minimum Cell Connection in Line Segment Arrangements . . . . . . . . . . . . . . 159--176 Juyoung Yon and Siu-Wing Cheng and Otfried Cheong and Antoine Vigneron Finding Largest Common Point Sets . . . 177--185 Victor C. S. Lee and Haitao Wang and Xiao Zhang Minimizing the Maximum Moving Cost of Interval Coverage . . . . . . . . . . . 187--205 A. Karim Abu-Affash and Paz Carmi and Anat Parush Tzur Strongly Connected Spanning Subgraph for Almost Symmetric Networks . . . . . . . 207--219 Cecilia Bohler and Rolf Klein and Chih-Hung Liu Abstract Voronoi Diagrams from Closed Bisecting Curves . . . . . . . . . . . . 221--240
Prosenjit Bose and Jean-Lou De Carufel and Stephane Durocher and Perouz Taslakian Competitive Online Routing on Delaunay Triangulations . . . . . . . . . . . . . 241 Guilherme D. da Fonseca and Vinícius Gusmão Pereira de Sá and Celina Miraglia Herrera de Figueiredo Shifting Coresets: Obtaining Linear-Time Approximations for Unit Disk Graphs and Other Geometric Intersection Graphs . . 255 Vincent Froese and Iyad Kanj and André Nichterlein and Rolf Niedermeier Finding Points in General Position . . . 277 Lucas Moutinho Bueno and Jorge Stolfi $4$-Colored Triangulation of $3$-Maps 297 Anonymous Author Index Volume 27 (2017) . . . . . 327
Michelle Hatch Hummel and Bihua Yu and Carlos Simmerling and Evangelos A. Coutsias Laguerre-Intersection Method for Implicit Solvation . . . . . . . . . . . 1 Jude Buot and Mikio Kano Weight-Equitable Subdivision of Red and Blue Points in the Plane . . . . . . . . 39 Kenes Beketayev and Damir Yeliussizov and Dmitriy Morozov and Gunther H. Weber and Bernd Hamann Measuring the Error in Approximating the Sub-Level Set Topology of Sampled Scalar Data . . . . . . . . . . . . . . . . . . 57
Seok-Hee Hong Guest Editor's Foreword . . . . . . . . ?? Hung-I Yu and Tien-Ching Lin and D. T. Lee The $ (1 | 1)$-Centroid Problem in the Plane with Distance Constraints . . . . ?? Helmut Alt and Nadja Scharf Approximating Smallest Containers for Packing Three-Dimensional Convex Objects ?? Sándor P. Fekete and Qian Li and Joseph S. B. Mitchell and Christian Scheffer Universal Guard Problems . . . . . . . . ?? Hugo A. Akitaya and Csaba D. Tóth Reconstruction of Weakly Simple Polygons from Their Edges . . . . . . . . . . . . ?? Marc van Kreveld and Maarten Löffler and Frank Staals and Lionov Wiratma A Refined Definition for Groups of Moving Entities and Its Computation . . ??
Oswin Aichholzer and Michael Biro and Erik D. Demaine and Martin L. Demaine and David Eppstein and Sándor P. Fekete and Adam Hesterberg and Irina Kostitsyna and Christiane Schmidt Folding Polyominoes into (Poly)Cubes . . ?? Fabrizio d'Amore and Paolo G. Franciosa A Low Arithmetic-Degree Algorithm for Computing Proximity Graphs . . . . . . . ?? Olivier Devillers and Louis Noizet Walking in a Planar Poisson--Delaunay Triangulation: Shortcuts in the Voronoi Path . . . . . . . . . . . . . . . . . . ?? Haitao Wang and Jingru Zhang Computing the Rectilinear Center of Uncertain Points in the Plane . . . . . ?? Sándor P. Fekete and Phillip Keldenich Conflict-Free Coloring of Intersection Graphs . . . . . . . . . . . . . . . . . ??
Günther Eder and Martin Held and Peter Palfrader Min-/Max-Volume Roofs Induced by Bisector Graphs of Polygonal Footprints of Buildings . . . . . . . . . . . . . . 309--340 Rom Aschner and Paz Carmi and Yael Stein Unique Coverage with Rectangular Regions 341--363 Sourav Chakraborty and Rameshwar Pratap and Sasanka Roy and Shubhangi Saraf Helly-Type Theorems in Property Testing 365--379 Stephane Durocher and Robert Fraser and Alexandre Leblanc and Jason Morrison and Matthew Skala On Combinatorial Depth Measures . . . . 381--398 Anonymous Author Index Volume 28 (2018) . . . . . 399--400
Takeshi Tokuyama Guest Editor's Foreword . . . . . . . . 1--1 Kazuyuki Amano and Yoshinobu Haruyama On the Number of p4-Tilings by an $n$-Omino . . . . . . . . . . . . . . . 3--19 Mark de Berg and Ade Gunawan and Marcel Roeloffzen Faster DBSCAN and HDBSCAN in Low-Dimensional Euclidean Spaces . . . . 21--47 Mark de Berg and Tim Leijsen and Aleksandar Markovic and André van Renssen and Marcel Roeloffzen and Gerhard Woeginger Fully-Dynamic and Kinetic Conflict-Free Coloring of Intervals with Respect to Points . . . . . . . . . . . . . . . . . 49--72 Gregory Bint and Anil Maheshwari and Michiel Smid and Subhas C. Nandy Partial Enclosure Range Searching . . . 73--93
Prosenjit Bose and André van Renssen Spanning Properties of Yao and $ \theta $-Graphs in the Presence of Constraints 95--120 Patrick J. Andersen and Charl J. Ras Algorithms for Euclidean Degree Bounded Spanning Tree Problems . . . . . . . . . 121--160 Joachim Gudmundsson and Majid Mirzanezhad and Ali Mohades and Carola Wenk Fast Fréchet Distance Between Curves with Long Edges . . . . . . . . . . . . . . . 161--187
Haitao Wang and Wuzhou Zhang On Top-$k$ Weighted Sum Aggregate Nearest and Farthest Neighbors in the $ L_1 $ Plane . . . . . . . . . . . . . . 189--218 Victor Milenkovic and Elisha Sacks and Nabeel Butt Fast Detection of Degenerate Predicates in Free Space Construction . . . . . . . 219--237 Günther Eder and Martin Held Weighted Voronoi Diagrams in the Maximum Norm . . . . . . . . . . . . . . . . . . 239--250 Günther Eder and Martin Held and Peter Palfrader Recognizing Geometric Trees as Positively Weighted Straight Skeletons and Reconstructing Their Input . . . . . 251--267
Paz Carmi and Farah Chanchary and Anil Maheshwari and Michiel Smid The Most Likely Object to be Seen Through a Window . . . . . . . . . . . . 269--287 Alexander Pilz and Carlos Seara Convex Quadrangulations of Bichromatic Point Sets . . . . . . . . . . . . . . . 289--299 Danny Rorabaugh A Bound on a Convexity Measure for Point Sets . . . . . . . . . . . . . . . . . . 301--306 Lindsay Berry and Andrew Beveridge and Jane Butterfield and Volkan Isler and Zachary Keller and Alana Shine and Junyi Wang Line-of-Sight Pursuit in Monotone and Scallop Polygons . . . . . . . . . . . . 307--351 Anonymous Author Index Volume 29 (2019) . . . . . 353--354
Prosenjit Bose and Stephane Durocher and Debajyoti Mondal and Maxime Peabody and Matthew Skala and Mohammad Abdul Wahid Local Routing in Convex Subdivisions . . 1--17 Daniel Kraft Computing the Hausdorff Distance of Two Sets from Their Distance Functions . . . 19--49 R. Inkulu and K. Sowmya and Nitish P. Thakur Dynamic Algorithms for Visibility Polygons in Simple Polygons . . . . . . 51--78 Binayak Dutta and Sasanka Roy Approximate Shortest Paths in Polygons with Violations . . . . . . . . . . . . 79--95
Bengt J. Nilsson and Pawe\l \. Zyli\'nski How to Keep an Eye on Small Things . . . 97--120 Bogdan Grechuk and Sittichoke Som-am A Convex Cover for Closed Unit Curves has Area at Least 0.0975 . . . . . . . . 121--139 Michael Kerber and Arnur Nigmetov Metric Spaces with Expensive Distances 141--165
Haitao Wang and Yiming Zhao A Linear-Time Algorithm for Discrete Radius Optimally Augmenting Paths in a Metric Space . . . . . . . . . . . . . . 167--182 Prashant Gupta and Bala Krishnamoorthy Euler Transformation of Polyhedral Complexes . . . . . . . . . . . . . . . 183--211 Yangwei Liu and Hu Ding and Ziyun Huang and Jinhui Xu Distributed and Robust Support Vector Machine . . . . . . . . . . . . . . . . 213--233 Bastian Weiß and Bert Jüttler and Franz Aurenhammer Mitered Offsets and Skeletons for Circular Arc Polygons . . . . . . . . . 235--256 Anonymous Author Index Volume 30 (2020) . . . . . ??
Matthew Johnson and Daniël Paulusma and Erik Jan Van Leeuwen What Graphs are 2-Dot Product Graphs? 1--16 Hédi Nabli Truchet Tiles and Combinatorial Arabesque . . . . . . . . . . . . . . . 17--37 Alexander Stoimenow Exchangeability and Non-Conjugacy of Braid Representatives . . . . . . . . . 39--73
Rivka Gitik and Leo Joskowicz Voronoi Diagram and Delaunay Triangulation with Independent and Dependent Geometric Uncertainties . . . 75--121 Debangshu Banerjee and R. Inkulu Vertex Guarding for Dynamic Orthogonal Art Galleries . . . . . . . . . . . . . 123--140 Václav Bla\vzj and Ji\vrí Fiala and Giuseppe Liotta On Edge-Length Ratios of Partial 2-Trees 141--162 Haohao Wang and Ron Goldman Ruled Surfaces of Revolution with Moving Axes and Angles . . . . . . . . . . . . 163--181
Sergey Korotov and Lars Fredrik Lund and Jon Eivind Vatne Improved Maximum Angle Estimate for Longest-Edge Bisection . . . . . . . . . 183--192 Prashant Gupta and Yiran Guo and Narasimha Boddeti and Bala Krishnamoorthy SFCDecomp: Multicriteria Optimized Tool Path Planning in $3$D Printing using Space-Filling Curve Based Domain Decomposition . . . . . . . . . . . . . 193--220 Kazuma Tateiri and Toru Ohmoto An Extended MMP Algorithm: Wavefront and Cut-Locus on a Convex Polyhedron . . . . 221--247 Anonymous Author Index Volume 31 (2021) . . . . . ??
Henry Adams and Sophia Coldren and Sean Willmot The Persistent Homology of Cyclic Graphs 1--37 Victor Milenkovic and Elisha Sacks Efficient Predicate Evaluation Using Randomized Degeneracy Detection . . . . 39--54 Christopher G. Provatidis Non-Rational and Rational Transfinite Interpolation Using Bernstein Polynomials . . . . . . . . . . . . . . 55--89 Brittany Terese Fasy and Rafal Komendarczyk and Sushovan Majhi and Carola Wenk On the Reconstruction of Geodesic Subspaces of $ \mathbb {R}^N $ . . . . . 91--117
Vincent Guigues Algorithms and a Library for the Exact Computation of the Cumulative Distribution Function of the Euclidean Distance Between a Point and a Random Variable Uniformly Distributed in Disks, Balls, or Polygones and Application to Probabilistic Seismic Hazard Analysis 119--174 Sukanya Bhattacharjee and R. Inkulu Vertex Fault-Tolerant Geometric Spanners for Weighted Points . . . . . . . . . . 175--199 Jiawei Huang and Ruizhe Qin and Fan Yang and Hu Ding Random Projection and Recovery for High Dimensional Optimization with Arbitrary Outliers . . . . . . . . . . . . . . . . 201--225 Anonymous Author Index Volume 32 (2022) . . . . . ??
Wing-kai Hon and Chung-shou Liao and Meng-tsung Tsai Guest Editors' Foreword . . . . . . . . 1--2 Travis Gagie and Mozhgan Saeidi and Allan Sapucaia Ruler Wrapping . . . . . . . . . . . . . 3--12 Shin-ichi Nakano The Coverage Problem by Aligned Disks 13--23 Stephane Durocher and J. Mark Keil and Saeed Mehrabi and Debajyoti Mondal Bottleneck Convex Subsets: Finding $k$ Large Convex Sets in a Point Set . . . . 25--41 Kuo-kai Lee and Wing-kai Hon and Chung-shou Liao and Kunihiko Sadakane and Meng-tsung Tsai Fully Dynamic No-Back-Edge-Traversal Forest via $2$D-Range Queries . . . . . 43--54
Chao Yang Tiling the Plane with a Set of Ten Polyominoes . . . . . . . . . . . . . . 55--64 Abderrazzak Benroummane Some Results on Semi-Symmetric Spaces 65--84 Sergey Korotov and Jon Eivind Vatne On Dihedral Angle Sums of Prisms and Hexahedra . . . . . . . . . . . . . . . 85--95 Kazuma Tateiri Efficient Exact Enumeration of Single-Source Geodesics on a Non-Convex Polyhedron . . . . . . . . . . . . . . . 97--132 Satyabrata Jana and Anil Maheshwari and Saeed Mehrabi and And Sasanka Roy Maximum Bipartite Subgraphs of Geometric Intersection Graphs . . . . . . . . . . 133--157 Anonymous Author Index Volume 33 (2023) . . . . . ??
Princy Jain and Haitao Wang Algorithms for Covering Barrier Points by Mobile Sensors with Line Constraint 1--23 Awatif Al-jedani On the Curvature Functions of Ruled Surface . . . . . . . . . . . . . . . . 25--41 Ziyun Huang and Yongding Zhu and And Jinhui Xu An Efficient Algorithm for the 2-Central Path Problem . . . . . . . . . . . . . . 43--61 Yangwei Liu and Ziyun Huang and And Jinhui Xu A Space-Efficient One-Pass Online SVM Algorithm . . . . . . . . . . . . . . . 63--79