T. Lewiner, Cynthia O. L. Ferreira, M. Craizer, Ralph Teixeira
{"title":"球联合的曲率运动","authors":"T. Lewiner, Cynthia O. L. Ferreira, M. Craizer, Ralph Teixeira","doi":"10.1109/SIBGRAPI.2005.24","DOIUrl":null,"url":null,"abstract":"This work proposes a scheme for multi-resolution representation of union of balls in the plane. This representation is inspired by curvature motion for smooth curves. More precisely, the proposed evolution of centres and radii of the balls are based on equations of evolution of the medial axis of a curve that performs curvature motion. The results obtained are very close to the pixel approximation of curvature motion.","PeriodicalId":193103,"journal":{"name":"XVIII Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'05)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Curvature Motion for Union of Balls\",\"authors\":\"T. Lewiner, Cynthia O. L. Ferreira, M. Craizer, Ralph Teixeira\",\"doi\":\"10.1109/SIBGRAPI.2005.24\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work proposes a scheme for multi-resolution representation of union of balls in the plane. This representation is inspired by curvature motion for smooth curves. More precisely, the proposed evolution of centres and radii of the balls are based on equations of evolution of the medial axis of a curve that performs curvature motion. The results obtained are very close to the pixel approximation of curvature motion.\",\"PeriodicalId\":193103,\"journal\":{\"name\":\"XVIII Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'05)\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-10-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"XVIII Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'05)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SIBGRAPI.2005.24\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"XVIII Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'05)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SIBGRAPI.2005.24","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This work proposes a scheme for multi-resolution representation of union of balls in the plane. This representation is inspired by curvature motion for smooth curves. More precisely, the proposed evolution of centres and radii of the balls are based on equations of evolution of the medial axis of a curve that performs curvature motion. The results obtained are very close to the pixel approximation of curvature motion.
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