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Handbook of Discrete and Computational Geometry, 2nd Ed.最新文献

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Rigidity and scene analysis 刚性与场景分析
Handbook of Discrete and Computational Geometry, 2nd Ed. Pub Date : 1900-01-01 DOI: 10.1201/9781420035315.ch60
W. Whiteley
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引用次数: 196
Mathematical programming 数学规划
Handbook of Discrete and Computational Geometry, 2nd Ed. Pub Date : 1900-01-01 DOI: 10.1201/9781420035315.ch46
Michael J. Todd
{"title":"Mathematical programming","authors":"Michael J. Todd","doi":"10.1201/9781420035315.ch46","DOIUrl":"https://doi.org/10.1201/9781420035315.ch46","url":null,"abstract":"","PeriodicalId":156768,"journal":{"name":"Handbook of Discrete and Computational Geometry, 2nd Ed.","volume":"115 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134480335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Shortest Paths and Networks 最短路径和网络
Handbook of Discrete and Computational Geometry, 2nd Ed. Pub Date : 1900-01-01 DOI: 10.1201/9781420035315.ch27
Joseph S. B. Mitchell
{"title":"Shortest Paths and Networks","authors":"Joseph S. B. Mitchell","doi":"10.1201/9781420035315.ch27","DOIUrl":"https://doi.org/10.1201/9781420035315.ch27","url":null,"abstract":"We survey various forms of the problem, primarily in two and three dimensions, for motion of a single point, since most results have focused on these cases. We discuss shortest paths in a simple polygon (Section 31.1), shortest paths among obstacles (Section 31.2), and other metrics for length (Section 31.3). We also survey other related geometric network optimization problems (Section 31.4). Higher dimensions are discussed in Section 31.5.","PeriodicalId":156768,"journal":{"name":"Handbook of Discrete and Computational Geometry, 2nd Ed.","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115632147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 145
Geometric Intersection 几何的十字路口
Handbook of Discrete and Computational Geometry, 2nd Ed. Pub Date : 1900-01-01 DOI: 10.1201/9781420035315.ch38
D. Mount
{"title":"Geometric Intersection","authors":"D. Mount","doi":"10.1201/9781420035315.ch38","DOIUrl":"https://doi.org/10.1201/9781420035315.ch38","url":null,"abstract":"","PeriodicalId":156768,"journal":{"name":"Handbook of Discrete and Computational Geometry, 2nd Ed.","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126372143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 34
Face Numbers of Polytopes and Complexes 多面体和配合物的面数
Handbook of Discrete and Computational Geometry, 2nd Ed. Pub Date : 1900-01-01 DOI: 10.1201/9781420035315.ch18
L. Billera, A. Björner
{"title":"Face Numbers of Polytopes and Complexes","authors":"L. Billera, A. Björner","doi":"10.1201/9781420035315.ch18","DOIUrl":"https://doi.org/10.1201/9781420035315.ch18","url":null,"abstract":"","PeriodicalId":156768,"journal":{"name":"Handbook of Discrete and Computational Geometry, 2nd Ed.","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127288808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 67
Arrangements 安排
Handbook of Discrete and Computational Geometry, 2nd Ed. Pub Date : 1900-01-01 DOI: 10.1201/9781420035315.ch24
Daniel S. Halpérin
{"title":"Arrangements","authors":"Daniel S. Halpérin","doi":"10.1201/9781420035315.ch24","DOIUrl":"https://doi.org/10.1201/9781420035315.ch24","url":null,"abstract":"","PeriodicalId":156768,"journal":{"name":"Handbook of Discrete and Computational Geometry, 2nd Ed.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133374650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 123
Ray Shooting and Lines in Space 射线射击和空间中的线条
Handbook of Discrete and Computational Geometry, 2nd Ed. Pub Date : 1900-01-01 DOI: 10.1201/9781420035315.ch37
M. Pellegrini
{"title":"Ray Shooting and Lines in Space","authors":"M. Pellegrini","doi":"10.1201/9781420035315.ch37","DOIUrl":"https://doi.org/10.1201/9781420035315.ch37","url":null,"abstract":"","PeriodicalId":156768,"journal":{"name":"Handbook of Discrete and Computational Geometry, 2nd Ed.","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131694263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 61
Parametric search 参数搜索
Handbook of Discrete and Computational Geometry, 2nd Ed. Pub Date : 1900-01-01 DOI: 10.1201/9781420035315.ch43
Jeffrey S. Salowe
{"title":"Parametric search","authors":"Jeffrey S. Salowe","doi":"10.1201/9781420035315.ch43","DOIUrl":"https://doi.org/10.1201/9781420035315.ch43","url":null,"abstract":"","PeriodicalId":156768,"journal":{"name":"Handbook of Discrete and Computational Geometry, 2nd Ed.","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128421368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Voronoi Diagrams and Delaunay Triangulations Voronoi图和Delaunay三角剖分
Handbook of Discrete and Computational Geometry, 2nd Ed. Pub Date : 1900-01-01 DOI: 10.1201/9781420035315.ch23
S. Fortune
{"title":"Voronoi Diagrams and Delaunay Triangulations","authors":"S. Fortune","doi":"10.1201/9781420035315.ch23","DOIUrl":"https://doi.org/10.1201/9781420035315.ch23","url":null,"abstract":"The Voronoi diagram of a set of sites partitions space into regions one per site the region for a site s consists of all points closer to s than to any other site The dual of the Voronoi diagram the Delaunay triangulation is the unique triangulation so that the circumsphere of every triangle contains no sites in its interior Voronoi diagrams and Delaunay triangulations have been rediscovered or applied in many areas of math ematics and the natural sciences they are central topics in computational geometry with hundreds of papers discussing algorithms and extensions Section discusses the de nition and basic properties in the usual case of point sites in R with the Euclidean metric while section gives basic algorithms Some of the many extensions obtained by varying metric sites environment and constraints are discussed in section Section nishes with some interesting and nonobvious structural properties of Voronoi diagrams and Delaunay triangulations","PeriodicalId":156768,"journal":{"name":"Handbook of Discrete and Computational Geometry, 2nd Ed.","volume":"64 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114059882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 941
Euclidean Ramsey Theory 欧几里得拉姆齐理论
Handbook of Discrete and Computational Geometry, 2nd Ed. Pub Date : 1900-01-01 DOI: 10.1201/9781420035315.ch11
R. Graham
{"title":"Euclidean Ramsey Theory","authors":"R. Graham","doi":"10.1201/9781420035315.ch11","DOIUrl":"https://doi.org/10.1201/9781420035315.ch11","url":null,"abstract":"","PeriodicalId":156768,"journal":{"name":"Handbook of Discrete and Computational Geometry, 2nd Ed.","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116803157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 30
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