A wavelet used in multiresolution representation to analyze the information content of images. The wavelet is defined by
![H(omega)=[2(1-u)^4(315-420u+126u^2-4u^3)/(315-420v+126v^2-4v^3)]^(1/2),](/images/equations/LemariesWavelet/NumberedEquation1.svg) |
(1)
|
where
 |  |  |
(2)
|
 |  |  |
(3)
|
(Mallat 1989ab).
Lemarié's Wavelet
See also
WaveletExplore with Wolfram|Alpha
References
Mallat, S. G. "A Theory for Multiresolution Signal Decomposition: The Wavelet Representation." IEEE Trans. Pattern Analysis Machine Intel. 11, 674-693, 1989a.Mallat, S. G. "Multiresolution Approximation and Wavelet Orthonormal Bases of
." Trans. Amer. Math. Soc. 315, 69-87,
1989b.Referenced on Wolfram|Alpha
Lemarié's WaveletCite this as:
Weisstein, Eric W. "Lemarié's Wavelet." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LemariesWavelet.html