Fractional transforms in optical information processing.

We review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval, beam characterization, space-variant pattern recognition, adaptive filter design, enc...

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Detalles Bibliográficos
Autores: Bastiaans, Martin J., Alieva Krasheninnikova, Tatiana, Calvo Padilla, María Luisa
Tipo de recurso: artículo
Fecha de publicación:2005
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51050
Acceso en línea:https://hdl.handle.net/20.500.14352/51050
Access Level:acceso abierto
Palabra clave:535
Wigner Distribution Function
Order Fourier-Transform
Orbital Angular-Momentum
Schell Model Beams
Linear-Fm Signals
Image Encryption
Partially Coherent
Phase Retrieval
Hilbert Transform
Radon-Wigner
Óptica (Física)
2209.19 Óptica Física
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oai_identifier_str oai:docta.ucm.es:20.500.14352/51050
network_acronym_str ES
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repository_id_str
spelling Fractional transforms in optical information processing.Bastiaans, Martin J.Alieva Krasheninnikova, TatianaCalvo Padilla, María Luisa535Wigner Distribution FunctionOrder Fourier-TransformOrbital Angular-MomentumSchell Model BeamsLinear-Fm SignalsImage EncryptionPartially CoherentPhase RetrievalHilbert TransformRadon-WignerÓptica (Física)2209.19 Óptica FísicaWe review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval, beam characterization, space-variant pattern recognition, adaptive filter design, encryption, watermarking, and so forth is discussed in detail. A general algorithm for the fractionalization of linear cyclic integral transforms is introduced and it is shown that they can be fractionalized in an infinite number of ways. Basic properties of fractional cyclic transforms are considered. The implementation of some fractional transforms in optics, such as fractional Hankel, sine, cosine, Hartley, and Hilbert transforms, is discussed. New horizons of the application of fractional transforms for optical information processing are underlined.Hindawi Publishing CorporationUniversidad Complutense de Madrid20052005-07-0120052005-07-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/51050reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/510502026-06-02T12:44:21Z
dc.title.none.fl_str_mv Fractional transforms in optical information processing.
title Fractional transforms in optical information processing.
spellingShingle Fractional transforms in optical information processing.
Bastiaans, Martin J.
535
Wigner Distribution Function
Order Fourier-Transform
Orbital Angular-Momentum
Schell Model Beams
Linear-Fm Signals
Image Encryption
Partially Coherent
Phase Retrieval
Hilbert Transform
Radon-Wigner
Óptica (Física)
2209.19 Óptica Física
title_short Fractional transforms in optical information processing.
title_full Fractional transforms in optical information processing.
title_fullStr Fractional transforms in optical information processing.
title_full_unstemmed Fractional transforms in optical information processing.
title_sort Fractional transforms in optical information processing.
dc.creator.none.fl_str_mv Bastiaans, Martin J.
Alieva Krasheninnikova, Tatiana
Calvo Padilla, María Luisa
author Bastiaans, Martin J.
author_facet Bastiaans, Martin J.
Alieva Krasheninnikova, Tatiana
Calvo Padilla, María Luisa
author_role author
author2 Alieva Krasheninnikova, Tatiana
Calvo Padilla, María Luisa
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 535
Wigner Distribution Function
Order Fourier-Transform
Orbital Angular-Momentum
Schell Model Beams
Linear-Fm Signals
Image Encryption
Partially Coherent
Phase Retrieval
Hilbert Transform
Radon-Wigner
Óptica (Física)
2209.19 Óptica Física
topic 535
Wigner Distribution Function
Order Fourier-Transform
Orbital Angular-Momentum
Schell Model Beams
Linear-Fm Signals
Image Encryption
Partially Coherent
Phase Retrieval
Hilbert Transform
Radon-Wigner
Óptica (Física)
2209.19 Óptica Física
description We review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval, beam characterization, space-variant pattern recognition, adaptive filter design, encryption, watermarking, and so forth is discussed in detail. A general algorithm for the fractionalization of linear cyclic integral transforms is introduced and it is shown that they can be fractionalized in an infinite number of ways. Basic properties of fractional cyclic transforms are considered. The implementation of some fractional transforms in optics, such as fractional Hankel, sine, cosine, Hartley, and Hilbert transforms, is discussed. New horizons of the application of fractional transforms for optical information processing are underlined.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-07-01
2005
2005-07-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/51050
url https://hdl.handle.net/20.500.14352/51050
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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