Incremental PCA algorithm for fringe pattern demodulation

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dc.contributor.authorGómez Pedrero, José Antonio
dc.contributor.authorEstrada, Julio César
dc.contributor.authorAlonso Fernández, José
dc.contributor.authorQuiroga Mellado, Juan Antonio
dc.contributor.authorVargas Balbuena, Javier
dc.date.accessioned2023-06-22T10:41:52Z
dc.date.available2023-06-22T10:41:52Z
dc.date.issued2022-04-11
dc.description© 2022 Optica Publishing Group. Funding. Agencia Estatal de Investigación (PID2019-108850RA-I00).
dc.description.abstractThis work proposes a new algorithm for demodulating fringe patterns using principal component analysis (PCA). The algorithm is based on the incremental implantation of the singular value decomposition (SVD) technique for computing the principal values associated with a set of fringe patterns. Instead of processing an entire set of interferograms, the proposed algorithm proceeds in an incremental way, processing sequentially one (as minimum) interferogram at a given time. The advantages of this procedure are twofold. Firstly, it is not necessary to store the whole set of images in memory, and, secondly, by computing a phase quality parameter, it is possible to determine the minimum number of images necessary to accurately demodulate a given set of interferograms. The proposed algorithm has been tested for synthetic and experimental in ter ferograms showing a good performance. (C) 2022 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/71980
dc.identifier.doi10.1364/OE.452463
dc.identifier.issn1094-4087
dc.identifier.officialurlhttp://dx.doi.org/10.1364/OE.452463
dc.identifier.relatedurlhttps://opg.optica.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/71418
dc.issue.number8
dc.journal.titleOptics express
dc.language.isoeng
dc.page.final12293
dc.page.initial12278
dc.publisherThe Optical Society Of America
dc.relation.projectIDPID2019-108850RA-I00
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu535
dc.subject.keywordComponent Analysis
dc.subject.keywordDimensionality reduction
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleIncremental PCA algorithm for fringe pattern demodulation
dc.typejournal article
dc.volume.number30
dspace.entity.typePublication
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