Non-uniform recursive Doo-Sabin surfaces

Authors:
Zhangjin Huang;Guoping Wang
Affiliations:
School of Computer Science and Technology, University of Science and Technology of China, PR China and Key Laboratory of Software in Computing and Communication, Anhui Province, PR China and USTC- ...;Key Laboratory of Machine Perception (MOE), Peking University, PR China and School of Electronic Engineering and Computer Science, Peking University, PR China
Venue:
Computer-Aided Design
Year:
2011

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Abstract

This paper presents a generalization of Catmull-Clark-variant Doo-Sabin surfaces and non-uniform biquadratic B-spline surfaces called Non-Uniform Recursive Doo-Sabin Surfaces (NURDSes). One step of NURDS refinement can be factored into one non-uniform linear subdivision step plus one dual step. Compared to the prior non-uniform Doo-Sabin surfaces (i.e., quadratic NURSSes), NURDSes are convergent for arbitrary n-sided faces. Closed form limit point rules, which are important for applications in adaptive rendering and NC machining, are given as well.