B-spline surface fitting to mesh vertices  

作　　者：Yang LU Junhai YONG Kanle SHI Hejin GU Ping ZHENG Jean-Claude PAUL 

机构地区：[1]School of Software, Tsinghua University, Beijing 100084, China [2]Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China [3]Key Laboratory for Information System Security, Ministry of Education of China, Beijing 100084, China [4]Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing 100084, China [5]Department of Research & Development, Jiangxi Academy of Science, Nanchang 330096, China [6]Department of Mathematics and Computer Science, Nanchang Normal University, Nanchang 330032, China [7]National Institute for Research in Computer Science and Automatic Control, Villers-les-Nancy F-54600, France

出　　处：《Science China(Information Sciences)》2017年第7期252-254,共3页中国科学（信息科学）（英文版）

基　　金：supported by International Science & Technology Cooperation Program of China (Grant No. 2013DFE13120);The second author was supported by National Natural Science Foundation of China (Grant No. 61272235);The third author was supported by National Natural Science Foundation of China (Grant No. 91515103);The fifth author was supported by National Natural Science Foundation of China (Grant No. 61562063)

摘　　要：Here we propose a novel method of fitting B-spline surfaces to input mesh vertices.For a mesh model that is difficult to fit with one B-spline surface,we divide it into several patches that form a tree structure（which is called hierarchical splines[1]）,and for each patch,we use one B-spline surface for fitting.Normally,only a few patches are required,and G^2 continuity can be achieved between the adjacent surfaces.Here we propose a novel method of fitting B-spline surfaces to input mesh vertices.For a mesh model that is difficult to fit with one B-spline surface,we divide it into several patches that form a tree structure（which is called hierarchical splines[1]）,and for each patch,we use one B-spline surface for fitting.Normally,only a few patches are required,and G^2 continuity can be achieved between the adjacent surfaces.

关 键 词：spline fitting patches continuity hierarchical divide pixel meshes smoothness preserving 

分 类 号：O186.11[理学—数学]