| CHARACTERIZATION OF COVERGENT SUBDIVISION SCHEMES |
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| 摘 要： | Subdivision schemes provide important techniques for the fast generationof curves and surfaces.A recusive refinement of a given control polygonwill lead in the limit to a desired visually smooth object.These methodsplay also an important role in wavelet analysis.In this paper,we use arather simple way to characterize the convergence of subdivision schemesfor multivariate cases.The results will be used to investigate the regularityof the solutions for dilation equations.
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Characterization of covergent subdivision schemes |
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| Authors: | Zhou Xinlong |
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| Institution: | 1. Department of Mathematics, University of Duisburg, D-47057, Duisburg, Germany
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| Abstract: | Subdivision schemes provide important techniques for the fast generation of curves and surfaces. A recusive refinement of a given control polygon will lead in the limit to a desired visually smooth object. These methods play also an important role in wavelet analysis. In this paper, we use a rather simple way to characterize the convergence of subdivision schemes for multivariate cases. The results will be used to investigate the regularity of the solutions for dilation equations. |
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