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A New Interpolatory Subdivision for Quadrilateral Meshes

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Abstract

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 C1 continuous and, in addition, have bounded curvature.
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Keywords: I.3.3 Computer Graphics: Surface Modeling; Subdivision surfaces; bounded curvature; interpolation

Document Type: Research Article

Affiliations: 1: Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong, China 2: State Key Lab of CAD&CG, Zhejiang University, Hangzhou, China

Publication date: March 1, 2005

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