A New Interpolatory Subdivision for Quadrilateral Meshes

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Date
2005
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd.
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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@article{
10.1111:j.1467-8659.2005.00824.x
, journal = {Computer Graphics Forum}, title = {{
A New Interpolatory Subdivision for Quadrilateral Meshes
}}, author = {
Li, G.
and
Ma, W.
and
Bao, H.
}, year = {
2005
}, publisher = {
The Eurographics Association and Blackwell Publishing Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/j.1467-8659.2005.00824.x
} }
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