Karamatou A. Yacoubou Djima

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Multiscale (or multiresolution) analysis is used to represent signals or functions at increasingly high resolution. In this thesis, we develop multiresolution representations based on frames, which are overcomplete sets of vectors or functions that span an inner product space. First, we explore composite frames, which generalize certain representations(More)
Recorded images are usually contaminated by blur and noise. The restoration of such altered images is an ill-posed problem. Even if the blur is known, the unknown noise leads to uncertainty in the restored image. The naive restoration approach fails since it contains a lot of noise at high frequencies that destroys the computed restored image. To remedy(More)
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