5. Generalized wavelets

The problem of adapting multiscale representations and wavelets to bounded domains is relatively straightforward in signal and image processing, since the domain is usually an interval or a square. This problem becomes considerably more complicated in situations encountered in numerical simulation, where the domain of definition of the functions may have a more general geometry, which does not lend itself to the discretizations on Cartesian grids underlying tensor product multiscale decompositions....

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Generalized wavelets

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Wavelets and adaptability

References

(1) - DAUBECHIES (I.) - Ten Lectures on Wavelets. - SIAM, Philadelphie (1992).
(2) - MEYER (Y.) - Ondelettes. Algorithmes et Applications. - Armand Colin, Paris (1992).
(3) - GASQUET...