N-dimensional regularized fringe direction-estimator
| dc.contributor.author | Quiroga Mellado, Juan Antonio | |
| dc.contributor.author | Villa Hernández, José de Jesús | |
| dc.contributor.author | Servín Guirado, Manuel | |
| dc.contributor.author | Estrada, Julio César | |
| dc.contributor.author | Rosa Vargas, José Ismael de la | |
| dc.date.accessioned | 2023-06-20T03:35:15Z | |
| dc.date.available | 2023-06-20T03:35:15Z | |
| dc.date.issued | 2010-08-02 | |
| dc.description | © 2010 Optical Society of America. We acknowledge the support for the realization of this work to the Consejo Nacional de Ciencia y Tecnología (CONACYT), México, through the project CB-2008-01/102041, and the Ministerio de Ciencia e Innovación of Spain trough the project DPI2009-09023. | |
| dc.description.abstract | It has been demonstrated that the vectorial fringe-direction field is very important to demodulate fringe patterns without a dominant (or carrier) frequency. Unfortunately, the computation of this direction-filed is by far the most difficult task in the full interferogram phase-demodulation process. In this paper we present an algorithm to estimate this fringe-direction vector-field of a single n-dimensional fringe pattern. Despite that our theoretical results are valid at any dimension in the Euclidean space, we present some computer-simulated results in three dimensions because it is the most useful case in practical applications. As herein demonstrated, our method is based on linear matrix and vector analysis, this translates into a low computational cost. | |
| dc.description.department | Depto. de Óptica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Consejo Nacional de Ciencia y Tecnología (CONACYT), México | |
| dc.description.sponsorship | Ministerio de Ciencia e Innovación of Spain | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/22769 | |
| dc.identifier.doi | 10.1364/OE.18.016567 | |
| dc.identifier.issn | 1094-4087 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1364/OE.18.016567 | |
| dc.identifier.relatedurl | http://www.opticsinfobase.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/43966 | |
| dc.issue.number | 16 | |
| dc.journal.title | Optics Express | |
| dc.language.iso | eng | |
| dc.page.final | 16572 | |
| dc.page.initial | 16567 | |
| dc.publisher | The Optical Society Of America | |
| dc.relation.projectID | CB-2008-01/102041 | |
| dc.relation.projectID | DPI2009-09023 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 535 | |
| dc.subject.keyword | General Quadrature Transform | |
| dc.subject.keyword | Orientation Term | |
| dc.subject.keyword | Demodulation | |
| dc.subject.keyword | Pattern | |
| dc.subject.keyword | Algorithm | |
| dc.subject.ucm | Óptica (Física) | |
| dc.subject.unesco | 2209.19 Óptica Física | |
| dc.title | N-dimensional regularized fringe direction-estimator | |
| dc.type | journal article | |
| dc.volume.number | 18 | |
| dcterms.references | 1. K. G. Larkin, D. J. Bone, and M. A. Oldfield, “Natural demodulation of two-dimensional fringe patterns. I. General background of the spiral phase quadrature transform,” J. Opt. Soc. Am. A 18, 1862–1870 (2001). 2. M. Servín, J. A. Quiroga, and J. L. Marroquín, “General n-dimensional quadrature transform and its application to interferogram demodulation,” J. Opt. Soc. Am. A 20, 925–934 (2003). 3. X. Zhou, J. P. Baird, and J. F. Arnold, “Fringe orientation estimation by use of a gaussian gradient-filter and neighboring-direction averaging,” Appl. Opt. 38,, 795–804 (1999). 4. J. A. Quiroga, M. Servín, and F. Cuevas, “Modulo 2p fringe orientation angle estimation by phase unwrapping with a regularized phase tracking algorithm,” J. Opt. Soc. Am. A 19, 1524–1531 (2002). 5. Jesús Villa, Ismael De la Rosa, Gerardo Miramontes, and Juan Antonio Quiroga, “Phase recovery from a single fringe pattern using an orientational vector field regularized estimator,” J. Opt. Soc. Am. A 22, 2766–2773 (2005). 6. J. A. Quiroga, Manuel Servín, J. Luis Marroquín, and Daniel Crespo “Estimation of the orientation term of the general quadrature transform from a single n-dimensional fringe pattern”, J. Opt. Soc. Am. A 22, 439-444 (2005). 7. D. Crespo, J. A. Quiroga, and J. A. Gómez-Pedrero, “Fast algorithm for estimation of the orientation term of a general quadrature transform with application to demodulation of an n-dimensional fringe pattern,” Appl. Opt. 43,, 6139–6146 (2004). 8. B. Ströbel, “Processing of interferometric phase maps as complex-valued phasor images,” Appl. Opt. 35, 2192–2198 (1996). 9. Ng TW., “Photoelastic stress analysis using an object steep-loading method,” Exp. Mech. 37, 137–141 (1997). 10. J. Villa, J. A. Quiroga and J. A. Gómez-Pedrero, “Measurement of retardation in digital photoelasticity by load stepping using a sinusoidal least-squares fitting,” Opt. Las. Eng. 41, 127–137 (2004). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 1c171089-8e25-448f-bcce-28d030f8f43a | |
| relation.isAuthorOfPublication.latestForDiscovery | 1c171089-8e25-448f-bcce-28d030f8f43a |
Download
Original bundle
1 - 1 of 1
