Two-layer bandelets: algorithmic interpretation

Guillaume Lebrun; Philippe Carré; Stéphane Pateux

doi:10.1117/12.736491

2 October 2007 Two-layer bandelets: algorithmic interpretation

Guillaume Lebrun, Philippe Carré, Stéphane Pateux

Author Affiliations +

Proceedings Volume 6763, Wavelet Applications in Industrial Processing V; 676305 (2007) https://doi.org/10.1117/12.736491
Event: Optics East, 2007, Boston, MA, United States

Abstract

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.

Citation Download Citation

Guillaume Lebrun, Philippe Carré, and Stéphane Pateux "Two-layer bandelets: algorithmic interpretation", Proc. SPIE 6763, Wavelet Applications in Industrial Processing V, 676305 (2 October 2007); https://doi.org/10.1117/12.736491

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