Geodesic
On multiscale denoising of spherical functions: basic theory and numerical aspects
Electronic transactions on numerical analysis, Tome 14 (2002), pp. 56-78.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The basic concepts of selective multiscale reconstruction of functions on the sphere from erroraffected data is outlined for scalar functions. The selective reconstruction mechanism is based on the premise that multiscale approximation can be well-represented in terms of only a relatively small number of expansion coefficients at various resolution levels. A new proof, including non-bandlimited kernel functions, of the pyramid scheme is presented to efficiently remove the noise at different scales using a priori statistical information, i.e. knowledge of the covariance function.
Classification : 33C55, 42C40, 62-07, 65T60, 86A25
Keywords: spherical wavelet theory, scalar multiscale approximation, pyramid scheme, spectral and multiscale variance-covariance model, hard and soft thresholding 
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     author = {Freeden, W. and Maier, T.},
     title = {On multiscale denoising of spherical functions: basic theory and numerical aspects},
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     year = {2002},
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     url = {http://geodesic.mathdoc.fr/item/ETNA_2002__14__a8/}
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Freeden, W.; Maier, T. On multiscale denoising of spherical functions: basic theory and numerical aspects. Electronic transactions on numerical analysis, Tome 14 (2002), pp. 56-78. http://geodesic.mathdoc.fr/item/ETNA_2002__14__a8/