Synopsis
This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2001, held in Tokyo, Japan in November 2001. The 35 revised papers presented were carefully reviewed and selected. Among the topics covered are polygons and polyhedrons, divissible dissections, convex polygon packings, symmetric subsets, convex decompositions, graph drawing, graph computations, point sets, approximation, Delauny diagrams, triangulations, chromatic numbers, complexity, layer routing, efficient algorithms, and illumination problems.
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Discrete and Computational Geometry : Japanese Conference, Jcdcg 2000, Tokyo, Japan, November 22-25, 2000
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Discrete and Computational Geometry : Japanese Conference, Jcdcg 2000, Tokyo, Japan, November 22-25, 2000
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Discrete and Computational Geometry
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Discrete and Computational Geometry: Japanese Conference, JCDCG 2000, Tokyo, Japan, November, 22-25, 2000. Revised Papers (Lecture Notes in Computer Science)
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Discrete and Computational Geometry : Japanese Conference, Jcdcg 2000, Tokyo, Japan, November 22-25, 2000
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Discrete and Computational Geometry : Japanese Conference, Jcdcg 2000, Tokyo, Japan, November 22-25, 2000
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Discrete and Computational Geometry
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Discrete and Computational Geometry
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 400 pp. Englisch. Seller Inventory # 9783540423065
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Discrete and Computational Geometry
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.- 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 oftriangulations, and linear programming duality.- Efficient Algorithms for Searching a Polygonal Room with a Door.- A New Structure of Cylinder Packing.- Efficient algorithms for the minimum diameter bridge problem.- Illuminating Both Sides of Line Segments.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 400 pp. Englisch. Seller Inventory # 9783540423065
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Discrete and Computational Geometry : Japanese Conference, JCDCG 2000, Tokyo, Japan, November, 22-25, 2000. Revised Papers
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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(fo r 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. Seller Inventory # 9783540423065
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