{"title":"Vroni和ArcVroni: Voronoi图在科学和工程中的软件和应用","authors":"M. Held","doi":"10.1109/ISVD.2011.9","DOIUrl":null,"url":null,"abstract":"We survey algorithms and software for computing Voronoi diagrams of points, line segments and circular arcs in the Euclidean plane, and report on an experimental evaluation of two state-of-the-art Voronoi codes: Held's VRONI and the Voronoi code implemented by Karavelas within the framework of the CGAL project. We conclude this survey by an extensive (albeit not comprehensive) discussion of applications of Voronoi-based algorithms in diverse fields.","PeriodicalId":152151,"journal":{"name":"2011 Eighth International Symposium on Voronoi Diagrams in Science and Engineering","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":"{\"title\":\"Vroni and ArcVroni: Software for and Applications of Voronoi Diagrams in Science and Engineering\",\"authors\":\"M. Held\",\"doi\":\"10.1109/ISVD.2011.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We survey algorithms and software for computing Voronoi diagrams of points, line segments and circular arcs in the Euclidean plane, and report on an experimental evaluation of two state-of-the-art Voronoi codes: Held's VRONI and the Voronoi code implemented by Karavelas within the framework of the CGAL project. We conclude this survey by an extensive (albeit not comprehensive) discussion of applications of Voronoi-based algorithms in diverse fields.\",\"PeriodicalId\":152151,\"journal\":{\"name\":\"2011 Eighth International Symposium on Voronoi Diagrams in Science and Engineering\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Eighth International Symposium on Voronoi Diagrams in Science and Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISVD.2011.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Eighth International Symposium on Voronoi Diagrams in Science and Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISVD.2011.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Vroni and ArcVroni: Software for and Applications of Voronoi Diagrams in Science and Engineering
We survey algorithms and software for computing Voronoi diagrams of points, line segments and circular arcs in the Euclidean plane, and report on an experimental evaluation of two state-of-the-art Voronoi codes: Held's VRONI and the Voronoi code implemented by Karavelas within the framework of the CGAL project. We conclude this survey by an extensive (albeit not comprehensive) discussion of applications of Voronoi-based algorithms in diverse fields.