Interpolatory and Mixed Loop Schemes |
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| Authors: | Zhuo Shi Shujin Lin Xiaonan Luo Renhong Wang |
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| Affiliation: | 1. School of Information Science and Technology, Sun Yat‐sen University, Guangzhou, China;2. Key Laboratory of Digital Life (Sun Yat‐sen University), Ministry of Education, Guangzhou, China;3. This research was supported by the National Science Fund for Distinguished Young Scholars (No.60525213) and the Key Project (No. 60533030) of NSFC, 973 Program (No.2006CB303106) and 863 Program (No.2007AA01Z236) of China.;4. School of Communication and Design, Sun Yat‐sen University, Guangzhou, China;5. Department of Applied Mathematica, Technology University of Dalian, Dalian, China |
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| Abstract: | This paper presents a new interpolatory Loop scheme and an unified and mixed interpolatory and approximation subdivision scheme for triangular meshes. The former which is C1 continuous as same as the modified Butterfly scheme has better effect in some complex models. The latter can be used to solve the “popping effect” problem when switching between meshes at different levels of resolution. The scheme generates surfaces coincident with the Loop subdivision scheme in the limit condition having the coefficient k equal 0. When k equal 1, it will be changed into a new interpolatory subdivision scheme. Eigen‐structure analysis demonstrates that subdivision surfaces generated using the new scheme are C1 continuous. All these are achieved only by changing the value of a parameter k. The method is a completely simple one without constructing and solving equations. It can achieve local interpolation and solve the “popping effect” problem which are the method's advantages over the modified Butterfly scheme. |
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| Keywords: | I 3 3 [Computer Graphics]: Line and Curve Generation |
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