Image Processing with Complex Daubechies Wavelets

Authors:
Jean-Marc Lina
Affiliations:
Centre de Recherches Mathé/matiques, Univ. de Montré/al, C.P. 6128 Succ. Centre-Ville, Montré/al(Qué/bec), H3C 3J7, Canada/ and Atlantic Nuclear Services Ltd., Fredericton, New Bru ...
Venue:
Journal of Mathematical Imaging and Vision
Year:
1997

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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.