Image denoising using fractal- and wavelet-based methods

Kai Uwe Barthel, Hans L. Cycon, Detlev Marpe · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2004

There is a considerable amount of literature about image denoising using wavelet-based methods. Some new ideas where also reported using fractal methods. In this paper we propose a hybrid wavelet-fractal denoising method. Using a non-subsampled overcomplete wavelet transform we present the image as a collection of translation invariant copies in different frequency subbands. Within this multiple representation we do a fractal coding which tries to approximate a noise free image. The inverse wavelet transform of the fractal collage leads to the denoised image. Our results are comparable to some of the most efficient known denoising methods.

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