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Commutation for irregular subdivision

Publication ,  Journal Article
Daubechies, I; Guskov, I; Sweldens, W
Published in: Constructive Approximation
December 1, 2001

We present a generalization of the commutation formula to irregular subdivision schemes and wavelets. We show how, in the noninterpolating case, the divided differences need to be adapted to the subdivision scheme. As an example we include the construction of an entire family of biorthogonal compactly supported irregular knot B-spline wavelets starting from Lagrangian interpolation.

Duke Scholars

Published In

Constructive Approximation

DOI

ISSN

0176-4276

Publication Date

December 1, 2001

Volume

17

Issue

4

Start / End Page

479 / 513

Related Subject Headings

  • Numerical & Computational Mathematics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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Daubechies, I., Guskov, I., & Sweldens, W. (2001). Commutation for irregular subdivision. Constructive Approximation, 17(4), 479–513. https://doi.org/10.1007/s00365-001-0001-0
Daubechies, I., I. Guskov, and W. Sweldens. “Commutation for irregular subdivision.” Constructive Approximation 17, no. 4 (December 1, 2001): 479–513. https://doi.org/10.1007/s00365-001-0001-0.
Daubechies I, Guskov I, Sweldens W. Commutation for irregular subdivision. Constructive Approximation. 2001 Dec 1;17(4):479–513.
Daubechies, I., et al. “Commutation for irregular subdivision.” Constructive Approximation, vol. 17, no. 4, Dec. 2001, pp. 479–513. Scopus, doi:10.1007/s00365-001-0001-0.
Daubechies I, Guskov I, Sweldens W. Commutation for irregular subdivision. Constructive Approximation. 2001 Dec 1;17(4):479–513.
Journal cover image

Published In

Constructive Approximation

DOI

ISSN

0176-4276

Publication Date

December 1, 2001

Volume

17

Issue

4

Start / End Page

479 / 513

Related Subject Headings

  • Numerical & Computational Mathematics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics