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Subdivision Surfaces Based on Point-Based Splines

Wenming Zhu, Jiansong Deng, Falai Chen
Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05)  
We present a new interpolatory subdivision scheme based on PB-splines (Point-Based B-splines), over triangular meshes. Using the stencil of the interpolatory √ 3subdivision scheme, we propose a different refinement strategy by introducing a variable α to each regular vertex (valence = 6). By applying different α (locally or globally), the scheme is suitable for adaptive refinement and can perfectly reach different smoothness conditions (C 0 , C 1 or C 2 ).
doi:10.1109/cad-cg.2005.77 dblp:conf/cadgraphics/ZhuDC05 fatcat:gvwpmw7krnb67geqw56gexed2q