Non-uniform interpolatory subdivision surface

Xin Li and Yubo Chang

Applied Mathematics and Computation, 2018, vol. 324, issue C, 239-253

Abstract: This paper presents an interpolatory subdivision scheme with non-uniform parametrization for arbitrary polygon meshes with arbitrary manifold topology. This is the first attempt to generalize the non-uniform four point interpolatory curve subdivision to surface with extraordinary points. The scheme is constructed from the inspiration of the relation between the non-uniform four-point interpolatory subdivision scheme and the non-uniform B-spline refinement rule. Numerical examples and comparisons with the uniform interpolatory subdivision schemes indicate that the quality of the limit surface can be improved by using non-uniform parameter values for non-uniform initial data.

Keywords: Subdivision; Interpolatory subdivision; Centripetal parametrization; Chordal parametrization (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:324:y:2018:i:c:p:239-253

DOI: 10.1016/j.amc.2017.11.035

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