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catalog abstract "TheJapanConferenceonDiscreteandComputationalGeometry(JCDCG)has beenheldannuallysince1997. Oneofthegoalsofthisconferenceseriesistobring togetherJapaneseresearchersfrombothacademiaandindustrywithresearchers inthese?eldsfromabroadtosharetheirrecentresults. JCDCG2000washeld22–25November2000atTokaiUniversityinTokyo inconjunctionwiththecelebrationofWorldMathematicsYear2000. Atotalof 120participantsfrom20countriesattended. Thisvolumeconsistsofthepapers presentedatJCDCG2000,whichhavebeenrefereedandrevised. Somepapers whichappearinshortforminthisvolumealsoappearinfullerexpandedversions injournalsdedicatedtocomputationalgeometry. Theorganizersoftheconferencethanktheprincipalspeakersfortheir- terestandsupport:ImreBarany,ErikD. Demaine,GregN. Fredrickson,Gyula Karolyi,NaokiKatoh,DavidKirkpatrick,JosephO’Rourke,JanosPach,Jozsef Solymosi,WilliamSteiger,JorgeUrrutia,andAllanWilks. Theythankthe- jorsponsorsfortheirgenerouscontribution:TheResearchInstituteofEdu- tionalDevelopmentofTokaiUniversity,theMinistryofEducationofJapan(for thegrant-in-aidtoA. Saito(A):10304008),andTokaiEducationInstruments Co. ,Ltd. April2001 TheEditors, JinAkiyama MikioKano MasatsuguUrabe OrganizingCommittee Chairs:JinAkiyamaandMikioKano Members: TetsuoAsano,DavidAvis,VasekChvatal,KiyoshiHosono,HiroshiImai, TakakoKodate,JosephO’Rourke,ToshinoriSakai,XuehouTan,Morimasa Tsuchiya,MasatsuguUrabe,andJorgeUrrutia. TableofContents Papers DudeneyDissectionsofPolygonsandPolyhedrons-ASurvey-. . . . . . . . . . 1 J. AkiyamaandG. Nakamura UniversalMeasuringDeviceswithoutGradations. . . . . . . . . . . . . . . . . . . . . . . 31 J. Akiyama, H. Fukuda,G. Nakamura, T. Sakai, J. Urrutia, andC. Zamora-Cura ANoteonthePurelyRecursiveDissectionforaSequentially n-Divisible Square . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 J. Akiyama, G. Nakamura, A. Nozaki, and K. Ozawa SequentiallyDivisibleDissectionsofSimplePolygons . . . . . . . . . . . . . . . . . . 53 J. Akiyama, T. Sakai, andJ. Urrutia PackingConvexPolygonsintoRectangulerBoxes . . . . . . . . . . . . . . . . . . . . . 67 H. AltandF. Hurtado OntheNumberofViewsofPolyhedralScenes . . . . . . . . . . . . . . . . . . . . . . . . 81 B. Aronov, H. Br¨ onnimann,D. Halperin,andR. Schi?enbauer ProblemsandResultsAroundtheErdos-Szek ? eresConvex PolygonTheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 I. Bar ´ an ´ y andG. Kar ´ olyi OnFindingMaximum-CardinalitySymmetricSubsets . . . . . . . . . . . . . . . . . 106 P. Brass FoldingandUnfoldingLinkages,Paper,andPolyhedra . . . . . . . . . . . . . . . . . 113 E. D. Demaine OntheSkeletonoftheMetricPolytope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 A. Deza,K. Fukuda,D. Pasechnik, andM. Sato GeometricDissectionsThatSwingandTwist . . . . . . . . . . . . . . . . . . . . . . . . . 137 G. N. Frederickson OnConvexDecompositionsofPoints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 K. Hosono, D. Rappaport, andM. Urabe VolumeQueriesinPolyhedra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 J. IaconoandS. Langerman VIII Table ofContents SumofEdgeLengthsofaGraphDrawnonaConvexPolygon . . . . . . . . . . 160 H. Ito,H. Uehara, andM. Yokoyama OnDoubleBoundGraphswithRespecttoGraphOperations . . . . . . . . . . . 167 S. Iwai,K. Ogawa,andM. Tsuchiya GeneralizedBalancedPartitionsofTwoSetsofPointsinthePlane . . . . . . 176 A. KanekoandM. Kano OnPathsinaCompleteBipartiteGeometricGraph . . . . . . . . . . . . . . . . . . . 187 A. KanekoandM. Kano ApproximatingUniformTriangularMeshesforSpheres . . . . . . . . . . . . . . . . . 192 N. Katoh,H. Kojima, andR. Taniguchi TheConstructionofDelaunayDiagramsbyLobReduction . . . . . . . . . . . . . 205 P. Kau?mannand J. C. Spehner GeometricTransformationsinPlaneTriangulations . . . . . . . . . . . . . . . . . . . . 217 K. Kawarabayashi, A. Nakamoto, Y. Oda, andM. Watanabe SeparationSensitiveKineticSeparationStructuresforConvexPolygons . . 222 D. Kirkpatrick andB. Speckmann OnAcuteTriangulationsofQuadrilaterals . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 H. Maehara IntersectingRedandBlueLineSegmentsinOptimalTimeandPrecision . 244 A. MantlerandJ. Snoeyink TightErrorBoundsofGeometricProblemsonConvexObjectswith ImpreciseCoordinates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 252 T. NagaiandN. Tokura TriangleContactSystems,OrthogonalPlanePartitionsandtheirHitGraphs 264 A. Nakamoto NoteonDiagonalFlipsandChromaticNumbersofQuadrangulationson ClosedSurfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 274 A. NakamotoandS. Negami AnExtensionofCauchy’sArmLemmawithApplicationtoCurve Development . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280 J. O’Rourke OntheComplexityoftheUnionofGeometricObjects . . . . . . . . . . . . . . . . . 292 J. Pach Table of Contents IX StructureTheoremsforSystemsofSegments . . . . . . . . . . . . . . . . . . . . . . . . . 308 J. Pach andJ. Solymosi 3-dimensionalSingleActiveLayerRouting . . . . . . . . . . . . . . . . . . . . . . . . . . .".
catalog contributor b12285506.
catalog contributor b12285507.
catalog contributor b12285508.
catalog contributor b12285509.
catalog created "c2001.".
catalog date "2001".
catalog date "c2001.".
catalog dateCopyrighted "c2001.".
catalog description ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280 J. O’Rourke OntheComplexityoftheUnionofGeometricObjects . . . . . . . . . . . . . . . . . 292 J. Pach Table of Contents IX StructureTheoremsforSystemsofSegments . . . . . . . . . . . . . . . . . . . . . . . . . 308 J. Pach andJ. Solymosi 3-dimensionalSingleActiveLayerRouting . . . . . . . . . . . . . . . . . . . . . . . . . . .".
catalog description ". . . . . . . . . . . . . . . . . . . . . . . 137 G. N. Frederickson OnConvexDecompositionsofPoints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 K. Hosono, D. Rappaport, andM. Urabe VolumeQueriesinPolyhedra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 J. IaconoandS. Langerman VIII Table ofContents SumofEdgeLengthsofaGraphDrawnonaConvexPolygon . . . . . . . . . . 160 H. Ito,H. Uehara, andM. Yokoyama OnDoubleBoundGraphswithRespecttoGraphOperations . . . . . . . . . . . 167 S. Iwai,K. Ogawa,andM. Tsuchiya GeneralizedBalancedPartitionsofTwoSetsofPointsinthePlane . . . . . . 176 A. KanekoandM. Kano OnPathsinaCompleteBipartiteGeometricGraph . . . . . . . . . . . . . . . . . . . 187 A. KanekoandM. Kano ApproximatingUniformTriangularMeshesforSpheres . . . . . . . . . . . . . . . . . 192 N. Katoh,H. Kojima, andR. Taniguchi TheConstructionofDelaunayDiagramsbyLobReduction . . . . . . . . . . . . . 205 P. Kau?mannand J. C. ".
catalog description "A New Structure of Cylinder Packing -- Efficient algorithms for the minimum diameter bridge problem -- Illuminating Both Sides of Line Segments.".
catalog description "Akiyama, G. Nakamura, A. Nozaki, and K. Ozawa SequentiallyDivisibleDissectionsofSimplePolygons . . . . . . . . . . . . . . . . . . 53 J. Akiyama, T. Sakai, andJ. Urrutia PackingConvexPolygonsintoRectangulerBoxes . . . . . . . . . . . . . . . . . . . . . 67 H. AltandF. Hurtado OntheNumberofViewsofPolyhedralScenes . . . . . . . . . . . . . . . . . . . . . . . . 81 B. Aronov, H. Br¨ onnimann,D. Halperin,andR. Schi?enbauer ProblemsandResultsAroundtheErdos-Szek ? eresConvex PolygonTheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 I. Bar ´ an ´ y andG. Kar ´ olyi OnFindingMaximum-CardinalitySymmetricSubsets . . . . . . . . . . . . . . . . . 106 P. Brass FoldingandUnfoldingLinkages,Paper,andPolyhedra . . . . . . . . . . . . . . . . . 113 E. D. Demaine OntheSkeletonoftheMetricPolytope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 A. Deza,K. Fukuda,D. Pasechnik, andM. Sato GeometricDissectionsThatSwingandTwist . . ".
catalog description "Approximating Uniform Triangular Meshes for Spheres -- The construction of Delaunay diagrams by lob reduction -- Geometric Transformation in Plane Triangulations -- Separation Sensitive Kinetic Separation Structures for Convex Polygons -- On Acute Triangulations of Quadrilaterals -- Intersecting Red and Blue Line Segments in Optimal Time and Precision -- Tight Error Bound of Goemetric Problems on Convex Objects with Imprecise Coordinates -- Triangle Contact Systems, Orthogonal Plane Partitions, and their Hit Graphs -- Note on Diagonal Flips and Chromatic Numbers of Quadrangulations on Closed Surfaces -- An Extension of Cauchy’s Arm Lemma with Application to Curve Development -- On the complexity of the union of geometric objects -- Structure Theorems for Systems of Segments -- 3—Dimensional Single Active Layer Routing -- Nonregular triangulations, view graphs of triangulations, and linear programming duality -- Efficient Algorithms for Searching a Polygonal Room with a Door -- ".
catalog description "Includes bibliographical references and index.".
catalog description "Papers -- Dudeney Dissections of Polygons and Polyhedrons – A Survey – -- Universal Measuring Devices Without Gradations -- A Note on the Purely Recursive Dissection for a Sequentially n-Divisible Square -- Sequentially Divisible Dissections of Simple Polygons -- Packing Convex Polygons into Rectangular Boxes -- On the Number of Views of Polyhedral Scenes -- Problems and Results around the Erdös-Szekeres Convex Polygon Theorem -- On Finding Maximum-Cardinality Symmetric Subsets -- Folding and Unfolding Linkages, Paper, and Polyhedra -- On the Skeleton of the Metric Polytope -- Geometric Dissections that Swing and Twist -- On Convex Decompositions of Points -- Volume Queries in Polyhedra -- Sum of Edge Lengths of a Graph Drawn on a Convex Polygon -- On double bound graphs with respect to graph operations -- Generalized Balanced Partitions of Two Sets of Points in the Plane -- On Paths in a Complete Bipartite Geometric Graph -- ".
catalog description "Spehner GeometricTransformationsinPlaneTriangulations . . . . . . . . . . . . . . . . . . . . 217 K. Kawarabayashi, A. Nakamoto, Y. Oda, andM. Watanabe SeparationSensitiveKineticSeparationStructuresforConvexPolygons . . 222 D. Kirkpatrick andB. Speckmann OnAcuteTriangulationsofQuadrilaterals . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 H. Maehara IntersectingRedandBlueLineSegmentsinOptimalTimeandPrecision . 244 A. MantlerandJ. Snoeyink TightErrorBoundsofGeometricProblemsonConvexObjectswith ImpreciseCoordinates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 252 T. NagaiandN. Tokura TriangleContactSystems,OrthogonalPlanePartitionsandtheirHitGraphs 264 A. Nakamoto NoteonDiagonalFlipsandChromaticNumbersofQuadrangulationson ClosedSurfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 274 A. NakamotoandS. Negami AnExtensionofCauchy’sArmLemmawithApplicationtoCurve Development . ".
catalog description "TheJapanConferenceonDiscreteandComputationalGeometry(JCDCG)has beenheldannuallysince1997. Oneofthegoalsofthisconferenceseriesistobring togetherJapaneseresearchersfrombothacademiaandindustrywithresearchers inthese?eldsfromabroadtosharetheirrecentresults. JCDCG2000washeld22–25November2000atTokaiUniversityinTokyo inconjunctionwiththecelebrationofWorldMathematicsYear2000. Atotalof 120participantsfrom20countriesattended. Thisvolumeconsistsofthepapers presentedatJCDCG2000,whichhavebeenrefereedandrevised. Somepapers whichappearinshortforminthisvolumealsoappearinfullerexpandedversions injournalsdedicatedtocomputationalgeometry. Theorganizersoftheconferencethanktheprincipalspeakersfortheir- terestandsupport:ImreBarany,ErikD. Demaine,GregN. Fredrickson,Gyula Karolyi,NaokiKatoh,DavidKirkpatrick,JosephO’Rourke,JanosPach,Jozsef Solymosi,WilliamSteiger,JorgeUrrutia,andAllanWilks. ".
catalog description "Theythankthe- jorsponsorsfortheirgenerouscontribution:TheResearchInstituteofEdu- tionalDevelopmentofTokaiUniversity,theMinistryofEducationofJapan(for thegrant-in-aidtoA. Saito(A):10304008),andTokaiEducationInstruments Co. ,Ltd. April2001 TheEditors, JinAkiyama MikioKano MasatsuguUrabe OrganizingCommittee Chairs:JinAkiyamaandMikioKano Members: TetsuoAsano,DavidAvis,VasekChvatal,KiyoshiHosono,HiroshiImai, TakakoKodate,JosephO’Rourke,ToshinoriSakai,XuehouTan,Morimasa Tsuchiya,MasatsuguUrabe,andJorgeUrrutia. TableofContents Papers DudeneyDissectionsofPolygonsandPolyhedrons-ASurvey-. . . . . . . . . . 1 J. AkiyamaandG. Nakamura UniversalMeasuringDeviceswithoutGradations. . . . . . . . . . . . . . . . . . . . . . . 31 J. Akiyama, H. Fukuda,G. Nakamura, T. Sakai, J. Urrutia, andC. Zamora-Cura ANoteonthePurelyRecursiveDissectionforaSequentially n-Divisible Square . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 J. ".
catalog extent "xi, 380 p. :".
catalog identifier "3540423060 (pbk. : alk. paper)".
catalog isPartOf "Lecture notes in computer science, 0302-9743 ; 2098".
catalog issued "2001".
catalog issued "c2001.".
catalog language "eng".
catalog publisher "Berlin ; New York : Springer,".
catalog subject "516/.13 21".
catalog subject "Combinatorial geometry Congresses.".
catalog subject "Combinatorics.".
catalog subject "Computational complexity.".
catalog subject "Computer graphics.".
catalog subject "Computer science.".
catalog subject "Computer software.".
catalog subject "Discrete groups.".
catalog subject "Geometry Data processing Congresses.".
catalog subject "QA167 .J33 2000".
catalog tableOfContents "A New Structure of Cylinder Packing -- Efficient algorithms for the minimum diameter bridge problem -- Illuminating Both Sides of Line Segments.".
catalog tableOfContents "Approximating Uniform Triangular Meshes for Spheres -- The construction of Delaunay diagrams by lob reduction -- Geometric Transformation in Plane Triangulations -- Separation Sensitive Kinetic Separation Structures for Convex Polygons -- On Acute Triangulations of Quadrilaterals -- Intersecting Red and Blue Line Segments in Optimal Time and Precision -- Tight Error Bound of Goemetric Problems on Convex Objects with Imprecise Coordinates -- Triangle Contact Systems, Orthogonal Plane Partitions, and their Hit Graphs -- Note on Diagonal Flips and Chromatic Numbers of Quadrangulations on Closed Surfaces -- An Extension of Cauchy’s Arm Lemma with Application to Curve Development -- On the complexity of the union of geometric objects -- Structure Theorems for Systems of Segments -- 3—Dimensional Single Active Layer Routing -- Nonregular triangulations, view graphs of triangulations, and linear programming duality -- Efficient Algorithms for Searching a Polygonal Room with a Door -- ".
catalog tableOfContents "Papers -- Dudeney Dissections of Polygons and Polyhedrons – A Survey – -- Universal Measuring Devices Without Gradations -- A Note on the Purely Recursive Dissection for a Sequentially n-Divisible Square -- Sequentially Divisible Dissections of Simple Polygons -- Packing Convex Polygons into Rectangular Boxes -- On the Number of Views of Polyhedral Scenes -- Problems and Results around the Erdös-Szekeres Convex Polygon Theorem -- On Finding Maximum-Cardinality Symmetric Subsets -- Folding and Unfolding Linkages, Paper, and Polyhedra -- On the Skeleton of the Metric Polytope -- Geometric Dissections that Swing and Twist -- On Convex Decompositions of Points -- Volume Queries in Polyhedra -- Sum of Edge Lengths of a Graph Drawn on a Convex Polygon -- On double bound graphs with respect to graph operations -- Generalized Balanced Partitions of Two Sets of Points in the Plane -- On Paths in a Complete Bipartite Geometric Graph -- ".
catalog title "Discrete and computational geometry : Japanese conference, JCDCG 2000, Tokyo, Japan, November 22-25, 2000 : revised papers / Jin Akiyama, Mikio Kano, Masatsugu Urabe (eds.).".
catalog type "text".