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Discrete and computational geometry : Japanese conference, JCDCG'98, Tokyo, Japan, December 9-12, 1998, revised papers / Jin Akiyama, Mikio Kano, Masatsugu Urabe (eds.).

By: Contributor(s): Material type: TextTextSeries: Lecture notes in computer science ; 1763.Publication details: Berlin ; New York : Springer, ©2000.Description: 1 online resource (viii, 331 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540465157
  • 3540465154
Subject(s): Genre/Form: Additional physical formats: Print version:JCDCG '98 (1998 : Tokyo, Japan): Discrete and computational geometry : Japanese conference, JCDCG'98, Tokyo, Japan, December 9-12, 1998, revised papersDDC classification:
  • 516/.13 21
LOC classification:
  • QA167 .J33 1998
Other classification:
  • 54.73
  • PP 15
  • SS 4800
  • DAT 756f
Online resources:
Contents:
Papers -- Radial Perfect Partitions of Convex Sets in the Plane -- Dudeney Dissection of Polygons -- Effective Use of Geometric Properties for Clustering -- Living with lrs -- On the Existente of a Point Subset with 4 or 5 Interior Points -- Planar Drawing Algorithms of Survivable Telecommunication Networks -- Polygon Cutting: Revisited -- Algorithms for Packing Two Circles in a Convex Polygon -- Folding and Cutting Paper -- An Interpolant Based on Line Segment Voronoi Diagrams -- 2-Dimension Ham Sandwich Theorem for Partitioning into Three Convex Pieces -- NP-Completeness of Stage Illumination Problems -- On the Maximum Degree of Bipartite Embeddings of Trees in the Plane -- Efficient Regular Polygon Dissections -- On Soddy's Hexlet and a Linked 4-Pair -- Approximation Algorithms for Maximum Independent Set Problems and Fractional Coloring Problems on Unit Disk Graphs -- Visibility of Disks on the Lattice Points -- Convex Hull Problem with Imprecise Input -- One-Dimensional Tilings with Congruent Copies of a 3-Point Set -- Polygonal Approximations for Curved Problems: An Application to Arrangements -- Grouping and Querying: A Paradigm to Get Output-Sensitive Algorithms -- Folding and Unfolding in Computational Geometry -- Crossing Numbers -- A Note on the Existente of Plane Spanning Trees of Geometrie Graphs -- Embeddings of Equilateral Polygons in Unit Lattices -- Order-k Voronoi Diagrams, k-Sections, and k-Sets -- "Impossible Objects" Are Not Necessarily Impossible -- Mathematical Study on Optical Illusion -- -- An Efficient Solution to the Corridor Search Problem.
Summary: This book constitutes the thoroughly refereed post-conference proceedings of the Second Japanese Conference on Discrete and Computational Geometry, JCDCG8, held in Tokyo, Japan, in December 1999. The 27 revised full papers presented were carefully reviewed and selected for inclusion in the post-conference proceedings. Among the topics addressed are approximation, convex hulls, lattice computations, tilings, graph computations, Voronoi diagrams, clustering, graph drawing, diagram design, and illumination problems.
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Includes bibliographical references and index.

This book constitutes the thoroughly refereed post-conference proceedings of the Second Japanese Conference on Discrete and Computational Geometry, JCDCG8, held in Tokyo, Japan, in December 1999. The 27 revised full papers presented were carefully reviewed and selected for inclusion in the post-conference proceedings. Among the topics addressed are approximation, convex hulls, lattice computations, tilings, graph computations, Voronoi diagrams, clustering, graph drawing, diagram design, and illumination problems.

Papers -- Radial Perfect Partitions of Convex Sets in the Plane -- Dudeney Dissection of Polygons -- Effective Use of Geometric Properties for Clustering -- Living with lrs -- On the Existente of a Point Subset with 4 or 5 Interior Points -- Planar Drawing Algorithms of Survivable Telecommunication Networks -- Polygon Cutting: Revisited -- Algorithms for Packing Two Circles in a Convex Polygon -- Folding and Cutting Paper -- An Interpolant Based on Line Segment Voronoi Diagrams -- 2-Dimension Ham Sandwich Theorem for Partitioning into Three Convex Pieces -- NP-Completeness of Stage Illumination Problems -- On the Maximum Degree of Bipartite Embeddings of Trees in the Plane -- Efficient Regular Polygon Dissections -- On Soddy's Hexlet and a Linked 4-Pair -- Approximation Algorithms for Maximum Independent Set Problems and Fractional Coloring Problems on Unit Disk Graphs -- Visibility of Disks on the Lattice Points -- Convex Hull Problem with Imprecise Input -- One-Dimensional Tilings with Congruent Copies of a 3-Point Set -- Polygonal Approximations for Curved Problems: An Application to Arrangements -- Grouping and Querying: A Paradigm to Get Output-Sensitive Algorithms -- Folding and Unfolding in Computational Geometry -- Crossing Numbers -- A Note on the Existente of Plane Spanning Trees of Geometrie Graphs -- Embeddings of Equilateral Polygons in Unit Lattices -- Order-k Voronoi Diagrams, k-Sections, and k-Sets -- "Impossible Objects" Are Not Necessarily Impossible -- Mathematical Study on Optical Illusion -- -- An Efficient Solution to the Corridor Search Problem.

English.

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