{"title":"任意阶贝塞尔智能曲面","authors":"A. Arnal , J. Monterde","doi":"10.1016/j.cam.2024.116253","DOIUrl":null,"url":null,"abstract":"<div><p>The control net of tensor product Bézier-Smart surfaces of arbitrary degree is characterized. Moreover, it is shown that for any given pair of Bézier curves with the same midpoint there always exists a family of Bézier-Smart surfaces with these diagonal curves. We give a method to generate BS-surfaces starting from different sets of user prescribed information, such as diagonal curves or boundary data.</p></div>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bézier-Smart surfaces of arbitrary degree\",\"authors\":\"A. Arnal , J. Monterde\",\"doi\":\"10.1016/j.cam.2024.116253\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The control net of tensor product Bézier-Smart surfaces of arbitrary degree is characterized. Moreover, it is shown that for any given pair of Bézier curves with the same midpoint there always exists a family of Bézier-Smart surfaces with these diagonal curves. We give a method to generate BS-surfaces starting from different sets of user prescribed information, such as diagonal curves or boundary data.</p></div>\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-09-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0377042724005028\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0377042724005028","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
The control net of tensor product Bézier-Smart surfaces of arbitrary degree is characterized. Moreover, it is shown that for any given pair of Bézier curves with the same midpoint there always exists a family of Bézier-Smart surfaces with these diagonal curves. We give a method to generate BS-surfaces starting from different sets of user prescribed information, such as diagonal curves or boundary data.
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