Normal multiresolution approximation of curves

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Daubechies, I; Runborg, O; Sweldens, W

Published Date

  • January 1, 2004

Published In

Volume / Issue

  • 20 / 3

Start / End Page

  • 399 - 463

International Standard Serial Number (ISSN)

  • 0176-4276

Digital Object Identifier (DOI)

  • 10.1007/s00365-003-0543-4

Citation Source

  • Scopus