{"title":"使用Voronoi图生成分形图","authors":"T. Dobrowolski","doi":"10.1109/ISVD.2007.25","DOIUrl":null,"url":null,"abstract":"This paper introduces a fractal partition class defined over a unit wrapped space. The cells of a fractal partition have self-similarity property and can be used as a set of tiles that can tile Rn space periodically or quasi-periodically with non-uniform tiling density. An algorithm for generating set of fractal cells using Voronoi diagram computation is proposed with several applications in computer graphics and computational chemistry.","PeriodicalId":148710,"journal":{"name":"4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)","volume":"108 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generating Fractal Tiles using Voronoi Diagrams\",\"authors\":\"T. Dobrowolski\",\"doi\":\"10.1109/ISVD.2007.25\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper introduces a fractal partition class defined over a unit wrapped space. The cells of a fractal partition have self-similarity property and can be used as a set of tiles that can tile Rn space periodically or quasi-periodically with non-uniform tiling density. An algorithm for generating set of fractal cells using Voronoi diagram computation is proposed with several applications in computer graphics and computational chemistry.\",\"PeriodicalId\":148710,\"journal\":{\"name\":\"4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)\",\"volume\":\"108 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-07-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISVD.2007.25\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISVD.2007.25","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper introduces a fractal partition class defined over a unit wrapped space. The cells of a fractal partition have self-similarity property and can be used as a set of tiles that can tile Rn space periodically or quasi-periodically with non-uniform tiling density. An algorithm for generating set of fractal cells using Voronoi diagram computation is proposed with several applications in computer graphics and computational chemistry.