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Publication
Computer Aided Geometric Design
Paper
Using parameters to increase smoothness of curves and surfaces generated by subdivision
Abstract
Some recent subdivision schemes for curves and surfaces are viewed as perturbations of classical schemes for B-splines, and their convergence analysis is presented. It is shown that, under certain mild conditions, a small perturbation of a convergent subdivision scheme does not impair the smoothness of the limit function. Moreover, a proper perturbation can even increase the smoothness and thus provide a one-parameter class of schemes with better continuity properties. © 1990.