{"title":"几何约束下b样条曲线的形状修正","authors":"Siyuan Cheng, Xiangwei Zhang, Kelun Tang","doi":"10.1109/CIS.2007.43","DOIUrl":null,"url":null,"abstract":"A new physically based model for the shape modification of B-spline curve with geometric constraints is presented. The deformation energy of the B-spline curve is minimized based on finite element method, while geometric constraints can be imposed to control the modified shape. By changing the external force, different methods of modification can be obtained. The method based on least square, which results from applying no force, is local and simpler, but the modified shape seems less smooth. While the method based on global deformation, which is more complicated by adding synthetic spring force, can give more natural and smooth results.","PeriodicalId":127238,"journal":{"name":"2007 International Conference on Computational Intelligence and Security (CIS 2007)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Shape Modification of B-Spline Curve with Geometric Constraints\",\"authors\":\"Siyuan Cheng, Xiangwei Zhang, Kelun Tang\",\"doi\":\"10.1109/CIS.2007.43\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new physically based model for the shape modification of B-spline curve with geometric constraints is presented. The deformation energy of the B-spline curve is minimized based on finite element method, while geometric constraints can be imposed to control the modified shape. By changing the external force, different methods of modification can be obtained. The method based on least square, which results from applying no force, is local and simpler, but the modified shape seems less smooth. While the method based on global deformation, which is more complicated by adding synthetic spring force, can give more natural and smooth results.\",\"PeriodicalId\":127238,\"journal\":{\"name\":\"2007 International Conference on Computational Intelligence and Security (CIS 2007)\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 International Conference on Computational Intelligence and Security (CIS 2007)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CIS.2007.43\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 International Conference on Computational Intelligence and Security (CIS 2007)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIS.2007.43","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Shape Modification of B-Spline Curve with Geometric Constraints
A new physically based model for the shape modification of B-spline curve with geometric constraints is presented. The deformation energy of the B-spline curve is minimized based on finite element method, while geometric constraints can be imposed to control the modified shape. By changing the external force, different methods of modification can be obtained. The method based on least square, which results from applying no force, is local and simpler, but the modified shape seems less smooth. While the method based on global deformation, which is more complicated by adding synthetic spring force, can give more natural and smooth results.
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