Image Processing with Complex Daubechies Wavelets
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TL;DR
Two applications in image processing: enhancement and restoration are discussed; the efficiency of this multiscalerepresentation relies on the information encoded in the phase of thecomplex wavelet coefficients.
Abstract
Analyses based on Symmetric Daubechies Wavelets (SDW) lead tocomplex-valued multiresolution representations of real signals.After a recall of the construction of the SDW, we present somespecific properties of these new types of Daubechies wavelets. Wethen discuss two applications in image processing: enhancement andrestoration. In both cases, the efficiency of this multiscalerepresentation relies on the information encoded in the phase of thecomplex wavelet coefficients.
