info prev up next book cdrom email home

Wavelet Transform

A transform which localizes a function both in space and scaling and has some desirable properties compared to the Fourier Transform. The transform is based on a Wavelet Matrix, which can be computed more quickly than the analogous Fourier Matrix.

See also Daubechies Wavelet Filter, Lemarie's Wavelet


Blair, D. and MathSoft, Inc. ``Wavelet Resources.''

Daubechies, I. Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.

DeVore, R.; Jawerth, B.; and Lucier, B. ``Images Compression through Wavelet Transform Coding.'' IEEE Trans. Information Th. 38, 719-746, 1992.

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Wavelet Transforms.'' §13.10 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 584-599, 1992.

Strang, G. ``Wavelet Transforms Versus Fourier Transforms.'' Bull. Amer. Math. Soc. 28, 288-305, 1993.

© 1996-9 Eric W. Weisstein