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A novel algorithm for image representation using discrete spectrum of the Schrödinger operator
Journal article   Peer reviewed

A novel algorithm for image representation using discrete spectrum of the Schrödinger operator

Zineb Kaisserli, Taous-Meriem Laleg-Kirati and Amina Lahmar-Benbernou
Digital signal processing, Vol.40(1), pp.80-87
01/05/2015
DOI: https://doi.org/10.1016/j.dsp.2015.01.005

Abstract

Discrete spectrum Image representation Schrödinger operator Semi-classical analysis Squared eigenfunctions
This paper extends the recent signal analysis method based on the spectral analysis of the semi-classical Schrödinger operator to two dimensions. An algorithm based on the tensor product approach when writing the eigenfunctions of the semi-classical Schrödinger operator is proposed. The algorithm is described and the effect of some parameters on the convergence of this method are numerically studied. The performance of the algorithm is illustrated through some examples.

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