{"title":"bsamzier曲面上两点间最小长度曲线的研究","authors":"A. Carriazo, M. C. Márquez, H. Ugail","doi":"10.1109/SKIMA47702.2019.8982434","DOIUrl":null,"url":null,"abstract":"In this paper, we present a method to obtain the distance between two fixed points of a Bézier surface by minimizing the length of curves on the surface linking the two points. We use a discretization of the classical orthogonal variations method for a regular planar curve. We provide interesting examples of Bézier surfaces which approximate the cylinder, the sphere and the hyperbolic paraboloid.","PeriodicalId":245523,"journal":{"name":"2019 13th International Conference on Software, Knowledge, Information Management and Applications (SKIMA)","volume":"117 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Curve of Minimal Length between Two Points On a Bézier Surface\",\"authors\":\"A. Carriazo, M. C. Márquez, H. Ugail\",\"doi\":\"10.1109/SKIMA47702.2019.8982434\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present a method to obtain the distance between two fixed points of a Bézier surface by minimizing the length of curves on the surface linking the two points. We use a discretization of the classical orthogonal variations method for a regular planar curve. We provide interesting examples of Bézier surfaces which approximate the cylinder, the sphere and the hyperbolic paraboloid.\",\"PeriodicalId\":245523,\"journal\":{\"name\":\"2019 13th International Conference on Software, Knowledge, Information Management and Applications (SKIMA)\",\"volume\":\"117 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 13th International Conference on Software, Knowledge, Information Management and Applications (SKIMA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SKIMA47702.2019.8982434\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 13th International Conference on Software, Knowledge, Information Management and Applications (SKIMA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SKIMA47702.2019.8982434","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Curve of Minimal Length between Two Points On a Bézier Surface
In this paper, we present a method to obtain the distance between two fixed points of a Bézier surface by minimizing the length of curves on the surface linking the two points. We use a discretization of the classical orthogonal variations method for a regular planar curve. We provide interesting examples of Bézier surfaces which approximate the cylinder, the sphere and the hyperbolic paraboloid.
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