Fairing geometric modeling based on 4-point interpolatory subdivision scheme

Authors:
Xiaonan Luo;Ning Liu;Chengying Gao
Affiliations:
Computer Application Institute, Sun Yat-sen University, Guangzhou 510275, China;Computer Application Institute, Sun Yat-sen University, Guangzhou 510275, China;Computer Application Institute, Sun Yat-sen University, Guangzhou 510275, China
Venue:
Journal of Computational and Applied Mathematics - Special issue on proceedings of the international symposium on computational mathematics and applications
Year:
2004

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Abstract

A 4-point interpolatory subdivision scheme with a tension parameter is analyzed, and the local property of 4-point interpolatory subdivision scheme and a kind of G1-continuity sufficient condition between surfaces as well as between curves are discussed. An efficient method of generating natural boundary points of 4-point interpolatory curve is presented, as well as a surface modeling method with the entire fairing property by combining energy optimization with subdivision scheme. The method has been applied in modeling 3D virtual garment surface.