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We describe a new filtering approach in the wavelet domain for imagedenoising and compression, based on the projections of details subbandscoefficients (resultants of the splitting procedure, typical in wavelet domain)onto the approximation subband coefficients (much less noisy). The newalgorithm is called Projection Onto Approximation Coefficients (POAC). As aresult of this approach, only the approximation subband coefficients and threescalars are stored and/or transmitted to the channel. Besides, with theelimination of the details subbands coefficients, we obtain a biggercompression rate. Experimental results demonstrate that our approach comparesfavorably to more typical methods of denoising and compression in waveletdomain.

Denoising and compression in wavelet domain via projection onto approximation coefficients