A New Interpolatory Subdivision for Quadrilateral Meshes |
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Authors: | G Li W Ma H Bao |
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Affiliation: | State Key Lab of CAD&CG, Zhejiang University, Hangzhou, China; Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong, China; School of Computer Science &Engineering, South China University of Technology, Guangzhou, China , , |
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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: | Subdivision surfaces interpolation bounded curvature I 3 3 Computer Graphics: Surface Modeling |
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