Wavelets are a class of a functions used to localize a given function in both space and scaling. A family of wavelets can be constructed from a function , sometimes known as a ``mother wavelet,'' which is confined in a finite interval. ``Daughter wavelets'' are then formed by translation () and contraction (). Wavelets are especially useful for compressing image data, since a Wavelet Transform has properties which are in some ways superior to a conventional Fourier Transform.
An individual wavelet can be defined by
(1) |
(2) |
(3) |
See also Fourier Transform, Haar Function, Lemarié's Wavelet, Wavelet Transform
References
Wavelets
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© 1996-9 Eric W. Weisstein