Logarithmic wavelets - Archive ouverte HAL
Article Dans Une Revue Advances in Imaging and Electron Physics Année : 2014

Logarithmic wavelets

Laurent Navarro
Michel Jourlin
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Résumé

This paper introduces Logarithmic Wavelets. The concept is born from the application of the Logarithmic Image Processing (LIP) and Symetric Logarithmic Image Processing (S-LIP) models to wavelets. It leads to a coupled logarithmic-multiscale image processing approach. After a review of classical aspects of wavelet theory, theoretical aspects of the Logarithmic Wavelet and Logarithmic Wavelet Transform are presented. It is demonstrated that the chosen LIP and S-LIP Models constitute adapted frameworks to achieve such developments. The most classical applications of wavelets, like compression, contour detection, de-noising are studied in this novel logarithmic context, which produces most of the time better results than the linear approach.
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Dates et versions

hal-01010995 , version 1 (21-06-2014)

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Citer

Laurent Navarro, Guy Courbebaisse, Michel Jourlin. Logarithmic wavelets. Advances in Imaging and Electron Physics, 2014, 183, pp.41-98. ⟨10.1016/B978-0-12-800265-0.00002-3⟩. ⟨hal-01010995⟩
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