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| Improved Butterfly Subdivision Scheme for Meshes with Arbitrary Topology | |
| 作者姓名： | 张辉 马永有 张成 蒋寿伟 |
| 作者单位： | [1]SchoolofMechanicalEngineering,ShanghaiJiaotongUniversity,Shanghai200030,China [2]SchoolofMechanicalEngineering,EastChinaUniversityofScienceandTechnology,Shanghai200237,China [3]SchoolofInformationScienceandTechnology,BeijingInstituteofTechnology,Beijing100081,China |
| 基金项目： | SponsoredbyShanghaiScienceandTechnologyDevelopmentFoundation(005111081) |
| 摘 要： | Based on the butterfly subdivision scheme and the modified butterfly subdivision scheme, an improved butterfly subdivision scheme is proposed. The scheme uses a small stencil of six points to calculate new inserting vertex, 2n new vertices are inserted in the 2n triangle faces in each recursion, and the n old vertices are kept, special treatment is given to the boundary, achieving higher smoothness while using small stencils is realized. With the proposed scheme, the number of triangle faces increases only by a factor of 3 in each refinement step. Compared with the butterfly subdivision scheme and the modified butterfly subdivision scheme, the size of triangle faces changes more gradually, which allows one to have greater control over the resolution of a refined mesh. |
| 关 键 词： | 蝶形结构 表面插值 三角测量 结构设计 计算机技术 |
| 收稿时间： | 2003/11/26 0:00:00 |
Improved Butterfly Subdivision Scheme for Meshes with Arbitrary Topology |
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| ZHANG Hui,MA Yong-you,ZHANG Cheng and JIANG Shou-wei.Improved Butterfly Subdivision Scheme for Meshes with Arbitrary Topology[J].Journal of Beijing Institute of Technology,2005,14(2):217-220. | |
| Authors: | ZHANG Hui MA Yong-you ZHANG Cheng and JIANG Shou-wei |
| Affiliation: | 1. School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030, China 2. School of Mechanical Engineering, East China University of Science and Technology, Shanghai 200237, China 3. School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081, China |
| Abstract: | Based on the butterfly subdivision scheme and the modified butterfly subdivision scheme, an improved butterfly subdivision scheme is proposed. The scheme uses a small stencil of six points to calculate new inserting vertex, 2n new vertices are inserted in the 2n triangle faces in each recursion, and the n old vertices are kept, special treatment is given to the boundary, achieving higher smoothness while using small stencils is realized. With the proposed scheme, the number of triangle faces increases only by a factor of 3 in each refinement step. Compared with the butterfly subdivision scheme and the modified butterfly subdivision scheme, the size of triangle faces changes more gradually, which allows one to have greater control over the resolution of a refined mesh. |
| Keywords: | subdivision scheme butterfly subdivision surface interpolation triangulation |
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