Mr. Guillaume Lebrun Profile

Guillaume Lebrun

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Proceedings Article | 2 October 2007 Paper

Two-layer bandelets: algorithmic interpretation

Guillaume Lebrun, Philippe Carré, Stéphane Pateux

Proceedings Volume 6763, 676305 (2007) https://doi.org/10.1117/12.736491

KEYWORDS: Signal processing, Wavelet transforms, Image enhancement, Image analysis, Image processing, Wavelets, Lithium, Signal analysis

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Nowadays one of the most important issue linked to image transform is to take into account the singularities of a signal which is organized on more than one dimension. The best example is the wavelet transform extension to two dimensional signal analysis. The drawback when one pass from a one dimensional signal process to a two dimensional signal process by simply using separability of wavelet transform is the over representation of irregularities in the wavelet transform domain. In order to decrease this drawback, second generation wavelet transform tries to take geometrical aspects of the image into account in the analysis of the image (one can find examples with bandelets, curvelets, ridgelets and others). 2 layers bandelets or first generation bandelets is among the first wavelet transform which uses the flow to enhance the efficiency of the process. The present proposition is mainly theoretical : we will propose now a pratical interpretation of this work in order to make a new implementation of the transform.

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