Abstract
We present in this paper the link between overlapping fractal transformation and the discrete wavelet multiresolution representation. Conclusions drawn from this study show that the fractal transformation induces an interpolation process in the wavelet multiresolution domain. This approach also allow to interpret the transition between continuous support definition and discrete implementation of fractal transformations. The fractal and wavelet representations are then merged in a single one exploiting the advantages of both. In addition, several problems as the decomposition in local self-similar model, the introduction of residues and extensions to images are reviewed.
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