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

Zineb Kaisserli; Taous-Meriem Laleg-Kirati; Amina Lahmar-Benbernou

doi:10.1016/j.dsp.2015.01.005

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

Zineb Kaisserli, Taous-Meriem Laleg-Kirati, Amina Lahmar-Benbernou

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	80-87
Number of pages	8
Journal	Digital Signal Processing
Volume	40
Issue number	1
DOIs	https://doi.org/10.1016/j.dsp.2015.01.005
State	Published - May 2015

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was conducted when the first author was visiting the Estimation, Modeling and ANalysis Group at the Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) devision at King Abdullah University of Science and Technology (KAUST). She would like to thank KAUST for its support and generous hospitality.

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1016/j.dsp.2015.01.005

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abstract = "This paper extends the recent signal analysis method based on the spectral analysis of the semi-classical Schr{\"o}dinger operator to two dimensions. An algorithm based on the tensor product approach when writing the eigenfunctions of the semi-classical Schr{\"o}dinger 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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note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was conducted when the first author was visiting the Estimation, Modeling and ANalysis Group at the Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) devision at King Abdullah University of Science and Technology (KAUST). She would like to thank KAUST for its support and generous hospitality.",

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AU - Lahmar-Benbernou, Amina

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was conducted when the first author was visiting the Estimation, Modeling and ANalysis Group at the Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) devision at King Abdullah University of Science and Technology (KAUST). She would like to thank KAUST for its support and generous hospitality.

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N2 - 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.

AB - 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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JO - Digital Signal Processing

JF - Digital Signal Processing

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

Abstract

Bibliographical note

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