Making Doo-Sabin surface interpolation always work over irregular meshes |
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| Authors: | Jianmin Zheng Yiyu Cai |
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| Affiliation: | (1) School of Computer Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798;(2) School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798 |
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| Abstract: | This paper presents a reliable method for constructing a control mesh whose Doo-Sabin subdivision surface interpolates the vertices of a given mesh with arbitrary topology. The method improves on existing techniques in two respects: (1) it is guaranteed to always work for meshes of arbitrary topological type; (2) there is no need to solve a system of linear equations to obtain the control points. Extensions to include normal vector interpolation and/or shape adjustment are also discussed. |
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