Normal Multiresolution Approximation of Curves |
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Authors: | Email author" target="_blank">Ingrid?DaubechiesEmail author Olof?Runborg Wim?Sweldens |
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Institution: | (1) Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544, USA |
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Abstract: | A multiresolution analysis of a curve is normal if
each wavelet detail vector with respect to a certain subdivision
scheme lies in the local normal direction. In this paper we study
properties such as regularity, convergence, and stability of a
normal multiresolution analysis. In particular, we show that these
properties critically depend on the underlying subdivision scheme
and that, in general, the convergence of normal multiresolution
approximations equals the convergence of the underlying subdivision
scheme. |
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Keywords: | Subdivision Wavelet Normal mesh Normal multiresolution Lifting |
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