{"title":"广义张量积bsamizier曲面","authors":"Xuli Han, Y. Ren, Xinru Liu","doi":"10.1109/PIC.2010.5688019","DOIUrl":null,"url":null,"abstract":"In order to adjust effectively the shape of the tensor product Bézier surfaces and to connect conveniently the surface patches, generalized tensor product Bézier surfaces with local directional control derivative vectors are given in this paper. The given surface expression is a modification based on a kind of higher approximate polynomials of a function. Taking the tensor Bézier surfaces as a special case, the given surface is an effective modification for the Bézier surface of higher degree by adjusting the directional target derivative vectors. A method for connecting surface patches on rectangle domain is presented; it can be used to realize C1 continuous connection of two surface patches without any constraint conditions for the control grid points.","PeriodicalId":142910,"journal":{"name":"2010 IEEE International Conference on Progress in Informatics and Computing","volume":"75 2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized tensor product Bézier surfaces\",\"authors\":\"Xuli Han, Y. Ren, Xinru Liu\",\"doi\":\"10.1109/PIC.2010.5688019\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In order to adjust effectively the shape of the tensor product Bézier surfaces and to connect conveniently the surface patches, generalized tensor product Bézier surfaces with local directional control derivative vectors are given in this paper. The given surface expression is a modification based on a kind of higher approximate polynomials of a function. Taking the tensor Bézier surfaces as a special case, the given surface is an effective modification for the Bézier surface of higher degree by adjusting the directional target derivative vectors. A method for connecting surface patches on rectangle domain is presented; it can be used to realize C1 continuous connection of two surface patches without any constraint conditions for the control grid points.\",\"PeriodicalId\":142910,\"journal\":{\"name\":\"2010 IEEE International Conference on Progress in Informatics and Computing\",\"volume\":\"75 2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE International Conference on Progress in Informatics and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PIC.2010.5688019\",\"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 Progress in Informatics and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PIC.2010.5688019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In order to adjust effectively the shape of the tensor product Bézier surfaces and to connect conveniently the surface patches, generalized tensor product Bézier surfaces with local directional control derivative vectors are given in this paper. The given surface expression is a modification based on a kind of higher approximate polynomials of a function. Taking the tensor Bézier surfaces as a special case, the given surface is an effective modification for the Bézier surface of higher degree by adjusting the directional target derivative vectors. A method for connecting surface patches on rectangle domain is presented; it can be used to realize C1 continuous connection of two surface patches without any constraint conditions for the control grid points.
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