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

Handle URI:
http://hdl.handle.net/10754/565943
Title:
A novel algorithm for image representation using discrete spectrum of the Schrödinger operator
Authors:
Kaisserli, Zineb; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 ) ; Lahmar-Benbernou, Amina
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Elsevier BV
Journal:
Digital Signal Processing
Issue Date:
May-2015
DOI:
10.1016/j.dsp.2015.01.005
Type:
Article
ISSN:
10512004
Sponsors:
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.
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorKaisserli, Zineben
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.contributor.authorLahmar-Benbernou, Aminaen
dc.date.accessioned2015-08-12T08:55:41Zen
dc.date.available2015-08-12T08:55:41Zen
dc.date.issued2015-05en
dc.identifier.issn10512004en
dc.identifier.doi10.1016/j.dsp.2015.01.005en
dc.identifier.urihttp://hdl.handle.net/10754/565943en
dc.description.abstractThis 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.en
dc.description.sponsorshipThis 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.en
dc.publisherElsevier BVen
dc.subjectDiscrete spectrumen
dc.subjectImage representationen
dc.subjectSchrödinger operatoren
dc.subjectSemi-classical analysisen
dc.subjectSquared eigenfunctionsen
dc.titleA novel algorithm for image representation using discrete spectrum of the Schrödinger operatoren
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalDigital Signal Processingen
dc.contributor.institutionMathematical and Computer Science Division, Abdelhamid Ibn Badis University, Mostaganem, Algeriaen
kaust.authorLaleg-Kirati, Taous-Meriemen
kaust.authorKaisserli, Zineben
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