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A New Interpolatory Subdivision for Quadrilateral Meshes
Author(s) -
Li G.,
Ma W.,
Bao H.
Publication year - 2005
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.1467-8659.2005.00824.x
Subject(s) - polygon mesh , subdivision , quadrilateral , subdivision surface , scheme (mathematics) , curvature , mathematics , bounded function , computer science , algorithm , geometry , finite element method , mathematical analysis , physics , archaeology , history , thermodynamics
This paper presents a new interpolatory subdivision scheme for quadrilateral meshes based on a 1–4 splitting operator. The scheme generates surfaces coincident with those of the Kobbelt interpolatory subdivision scheme for regular meshes. A new group of rules are designed for computing newly inserted vertices around extraordinary vertices. As an extension of the regular masks,the new rules are derived based on a reinterpretation of the regular masks. Eigen‐structure analysis demonstrates that subdivision surfaces generated using the new scheme are C 1 continuous and, in addition, have bounded curvature.