Two-step interferometry by a regularized optical flow algorithm

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dc.contributor.authorQuiroga Mellado, Juan Antonio
dc.contributor.authorVargas Balbuena, Javier
dc.contributor.authorSánchez Sorzano, Carlos Óscar
dc.contributor.authorEstrada, Julio César
dc.contributor.authorCarazo García, José María
dc.date.accessioned2023-06-20T03:34:19Z
dc.date.available2023-06-20T03:34:19Z
dc.date.issued2011-09-01
dc.description© 2011 Optical Society of America. We would like to acknowledge partial support from the Spanish Ministry of Science and Innovation through grants ACI2009-1022, ACI2010-108 and BIO2010-16566.
dc.description.abstractA two-step phase-shifting method, that can demodulate open-and closed-fringed patterns without local sign ambiguity is presented. The proposed method only requires a constant phase-shift between the two interferograms. This phase-shift does not need to be known and can take any value inside the range (0, 2 π), excluding the singular case where it corresponds to π. The proposed method is based on determining first the fringe direction map by a regularized optical flow algorithm. After that, we apply the spiral phase transform (SPT) to one of the fringe patterns and we determine its quadrature signal using the previously determined direction. The proposed technique has been applied to simulated and experimental interferograms obtaining satisfactory results. A complete MATLAB software package is provided in [http://goo.gl/Snnz7].
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish Ministry of Science and Innovation
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/22203
dc.identifier.citation1. D. Malacara and M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, Inc, 1998). 2. M. Servín, J. C. Estrada, and J. A. Quiroga, Opt. Express 17, 21867 (2009). 3. M. Takeda, H. Ina, and S. Kobayashi, J. Opt. Soc. Am. 72 156 (1982). 4. T. M. Kreis and W. P. O. Jueptner, Proc. SPIE 1553, 263 (1992). 5. J. Vargas, J. A. Quiroga, T. Belenguer, M. Servín, and J. C. Estrada, Opt. Express 19, 638 (2011). 6. B. K. P. Horn and B. G. Schunck, Artif. Intell. 17, 185 (1981). 7. K. G. Larkin, D. J. Bone, and M. A. Oldfield, J. Opt. Soc. Am. A 18, 1862 (2001). 8. J. A. Quiroga and M. Servín, Opt. Commun. 224, 221 (2003). 9. Z. Y. Wang and B. T. Han, Opt. Lett. 29, 1671 (2004). 10. http://goo.gl/Snnz7.
dc.identifier.doi10.1364/OL.36.003485
dc.identifier.issn0146-9592
dc.identifier.officialurlhttp://dx.doi.org/10.1364/OL.36.003485
dc.identifier.relatedurlhttp://www.opticsinfobase.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/43912
dc.issue.number17
dc.journal.titleOptics Letters
dc.language.isoeng
dc.page.final3487
dc.page.initial3485
dc.publisherThe Optical Society Of America
dc.relation.projectIDACI2009-1022
dc.relation.projectIDACI2010-108
dc.relation.projectIDBIO2010-16566
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordPhase
dc.subject.keywordTransform
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleTwo-step interferometry by a regularized optical flow algorithm
dc.typejournal article
dc.volume.number36
dspace.entity.typePublication
relation.isAuthorOfPublication1c171089-8e25-448f-bcce-28d030f8f43a
relation.isAuthorOfPublication6ccb1e60-8b61-4b23-8a0a-09af30f7b795
relation.isAuthorOfPublication.latestForDiscovery1c171089-8e25-448f-bcce-28d030f8f43a
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