Publication record · 18.cifr/1988.daubechies.orthonormal-wavelets
18.cifr/1988.daubechies.orthonormal-waveletsWe construct orthonormal bases of compactly supported wavelets, with arbitrarily high regularity. The order of regularity increases linearly with the support width. We start by reviewing the concept of multiresolution analysis as well as several algorithms in vision decomposition and reconstruction. The construction then follows from a synthesis of these different approaches.
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Biorthogonal wavelets with symmetric filters address the phase asymmetry of Daubechies filters. Wavelet packets generalize the decomposition to arbitrary frequency tilings. Lifting scheme constructions and second-generation wavelets on manifolds/graphs extend the framework beyond uniform grids.