FILTERING AND DECONVOLUTION BY THE WAVELET TRANSFORM

The wavelet transform gives information in both spatial and frequency domains and is a very useful tool for describing the hierarchical stru ctures. A new approach for filtering based on the wavelet transform is presented in this paper, and several algorithms are proposed. A crite rion of quality, which takes into account the resolution, is used to c ompare these algorithms. We show that deconvolution can be done using filtered wavelet coefficients. By computing the wavelet from the point spread function, we find a new transform algorithm and a reconstructi on method related to it.