Normal Multiresolution Approximation of Curves

Normal Multiresolution Approximation of Curves

Ingrid Daubechies Olof Runborg Wim Sweldens

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.

Status: Preprint, Department of Mathematics, Princeton University, February 2002.

Dates:

April 2002:

Initial posting & submission.

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Ingrid Daubechies, Olof Runborg, Wim Sweldens