Scholars@Duke
Journal cover image

Normal multiresolution approximation of curves

Publication ,  Journal Article
Daubechies, I; Runborg, O; Sweldens, W
Published in: Constructive Approximation
January 1, 2004
Published version (DOI)

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.

Duke Scholars

Ingrid Daubechies
Author Ingrid Daubechies Mathematics

Published In

Constructive Approximation

DOI

10.1007/s00365-003-0543-4

ISSN

0176-4276

Publication Date

January 1, 2004

Volume

20

Issue

3

Start / End Page

399 / 463

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Daubechies, I., Runborg, O., & Sweldens, W. (2004). Normal multiresolution approximation of curves. Constructive Approximation, 20(3), 399–463. https://doi.org/10.1007/s00365-003-0543-4
Daubechies, I., O. Runborg, and W. Sweldens. “Normal multiresolution approximation of curves.” Constructive Approximation 20, no. 3 (January 1, 2004): 399–463. https://doi.org/10.1007/s00365-003-0543-4.
Daubechies I, Runborg O, Sweldens W. Normal multiresolution approximation of curves. Constructive Approximation. 2004 Jan 1;20(3):399–463.
Daubechies, I., et al. “Normal multiresolution approximation of curves.” Constructive Approximation, vol. 20, no. 3, Jan. 2004, pp. 399–463. Scopus, doi:10.1007/s00365-003-0543-4.
Daubechies I, Runborg O, Sweldens W. Normal multiresolution approximation of curves. Constructive Approximation. 2004 Jan 1;20(3):399–463.
Journal cover image

Published In

Constructive Approximation

DOI

10.1007/s00365-003-0543-4

ISSN

0176-4276

Publication Date

January 1, 2004

Volume

20

Issue

3

Start / End Page

399 / 463

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics