{"title":"最小畸变能量的保形参数化","authors":"Junxiao Xue, Zekun Wang, Chengming Liu, Mingliang Xu","doi":"10.1109/ICVRV.2017.00020","DOIUrl":null,"url":null,"abstract":"Planar parameterization of triangulated surface meshes is used to find an isomorphic mapping between a discrete 3D surface and a planar patch, a crucial problem in computer graphics, computer aided design and digital geometric processing. This paper introduces an algorithm for parameterizing 3D meshes by minimizing the angle and area distortion energy. The parameterization algorithm traverses the mesh in a region growing way and is able to yield results with less global distortion. Various applications are tested to illustrate the effectiveness of the techniques proposed in this paper.","PeriodicalId":187934,"journal":{"name":"2017 International Conference on Virtual Reality and Visualization (ICVRV)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Conformal Parameterization by Minimizing Distortion Energy\",\"authors\":\"Junxiao Xue, Zekun Wang, Chengming Liu, Mingliang Xu\",\"doi\":\"10.1109/ICVRV.2017.00020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Planar parameterization of triangulated surface meshes is used to find an isomorphic mapping between a discrete 3D surface and a planar patch, a crucial problem in computer graphics, computer aided design and digital geometric processing. This paper introduces an algorithm for parameterizing 3D meshes by minimizing the angle and area distortion energy. The parameterization algorithm traverses the mesh in a region growing way and is able to yield results with less global distortion. Various applications are tested to illustrate the effectiveness of the techniques proposed in this paper.\",\"PeriodicalId\":187934,\"journal\":{\"name\":\"2017 International Conference on Virtual Reality and Visualization (ICVRV)\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 International Conference on Virtual Reality and Visualization (ICVRV)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICVRV.2017.00020\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 International Conference on Virtual Reality and Visualization (ICVRV)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICVRV.2017.00020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Conformal Parameterization by Minimizing Distortion Energy
Planar parameterization of triangulated surface meshes is used to find an isomorphic mapping between a discrete 3D surface and a planar patch, a crucial problem in computer graphics, computer aided design and digital geometric processing. This paper introduces an algorithm for parameterizing 3D meshes by minimizing the angle and area distortion energy. The parameterization algorithm traverses the mesh in a region growing way and is able to yield results with less global distortion. Various applications are tested to illustrate the effectiveness of the techniques proposed in this paper.
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