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arXiv · 1209.2692

Exact regularity of pseudo-splines

Michael S. Floater·Georg Muntingh
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Abstract

In this paper we review and refine a technique of Rioul to determine the Hölder regularity of a large class of symmetric subdivision schemes from the spectral radius of a single matrix. These schemes include those of Dubuc and Deslauriers, their dual versions, and more generally all the pseudo-spline and dual pseudo-spline schemes. We also derive various comparisons between their regularities using the Fourier transform. In particular we show that the regularity of the Dubuc-Deslauriers family increases with the size of the mask.

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Michael S. Floater, Georg Muntingh. 2013-01-22. Exact regularity of pseudo-splines. https://arxiv.org/abs/1209.2692

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