{"title":"用三次bsamizier样条逼近数字化曲线","authors":"Alexander Kolesnikov","doi":"10.1109/ICIP.2010.5651820","DOIUrl":null,"url":null,"abstract":"In this paper we examine a problem of digitized curves approximation for raster graphics vectorization and develop an efficient implementation of a near-optimal Dynamic Programming algorithm for digitized curves approximation with cubic Bézier splines for a given distortion bound. For better fitting performance, we introduce the inflection points with relaxed constraint of tangent continuity. The proposed algorithm demonstrates superiority over the iterative breakpoint-insertion method in terms of segments number for a given distortion bound.","PeriodicalId":228308,"journal":{"name":"2010 IEEE International Conference on Image Processing","volume":"118 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Approximation of digitized curves with cubic Bézier splines\",\"authors\":\"Alexander Kolesnikov\",\"doi\":\"10.1109/ICIP.2010.5651820\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we examine a problem of digitized curves approximation for raster graphics vectorization and develop an efficient implementation of a near-optimal Dynamic Programming algorithm for digitized curves approximation with cubic Bézier splines for a given distortion bound. For better fitting performance, we introduce the inflection points with relaxed constraint of tangent continuity. The proposed algorithm demonstrates superiority over the iterative breakpoint-insertion method in terms of segments number for a given distortion bound.\",\"PeriodicalId\":228308,\"journal\":{\"name\":\"2010 IEEE International Conference on Image Processing\",\"volume\":\"118 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE International Conference on Image Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIP.2010.5651820\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE International Conference on Image Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIP.2010.5651820","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximation of digitized curves with cubic Bézier splines
In this paper we examine a problem of digitized curves approximation for raster graphics vectorization and develop an efficient implementation of a near-optimal Dynamic Programming algorithm for digitized curves approximation with cubic Bézier splines for a given distortion bound. For better fitting performance, we introduce the inflection points with relaxed constraint of tangent continuity. The proposed algorithm demonstrates superiority over the iterative breakpoint-insertion method in terms of segments number for a given distortion bound.