Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations

  title={Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations},
  author={Michael S. Floater and Ewald Quak},
  journal={SIAM J. Numerical Analysis},
In several areas of computational mathematics, wavelet-based algorithms are becoming popular for modelling and analyzing data, providing efficient means for hierarchical data decomposition, reconstruction, editing and compression. Such algorithms are typically based on the decomposition of function spaces into mutually orthogonal wavelet spaces, each of which is endowed with a basis. The basis functions of each wavelet space are commonly called wavelets if they are mutually orthogonal and… CONTINUE READING


Publications referenced by this paper.
Showing 1-8 of 8 references

Multivariate Splines, CBMS Series in Applied Mathematics 54

C. K. Chui
SIAM, Philadelphia, • 1988
View 6 Excerpts
Highly Influenced

Constructing economical Riesz bases for Sobolev spaces, GMD Report 993

R. Lorentz, P. Oswald
GMD, Sankt Augustin, • 1996
View 8 Excerpts
Highly Influenced

Piecewise linear prewavelets of small support

U. Kotyczka, P. Oswald
Approx imation Theory VIII, • 1995
View 7 Excerpts
Highly Influenced

Decomposition and reconstruction algorithms for spline wavelets on a bounded interval

E. Quak, N. Weyrich
Appl. Comput. Harmonic Anal • 1994
View 1 Excerpt

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