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Progressive Interpolation based on Catmull‐Clark Subdivision Surfaces
Author(s) -
Chen Zhongxian,
Luo Xiaonan,
Tan Le,
Ye Binghong,
Chen Jiapeng
Publication year - 2008
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2008.01328.x
Subject(s) - quadrilateral , subdivision surface , polygon mesh , subdivision , scheme (mathematics) , interpolation (computer graphics) , topology (electrical circuits) , mathematics , surface (topology) , computer science , t vertices , limit (mathematics) , mesh generation , computer graphics (images) , finite element method , geometry , combinatorics , mathematical analysis , animation , history , physics , archaeology , thermodynamics
We introduce a scheme for constructing a Catmull‐Clark subdivision surface that interpolates the vertices of a quadrilateral mesh with arbitrary topology. The basic idea here is to progressively modify the vertices of an original mesh to generate a new control mesh whose limit surface interpolates all vertices in the original mesh. The scheme is applicable to meshes with any size and any topology, and it has the advantages of both a local scheme and a global scheme.