Camera-projector calibration methods with compensation of geometric distortions in fringe projection profilometry: A comparative study

The calibration methods most used in fringe projection profilometry are based on models of least squares adjustment and stereo vision techniques. However, the geometric distortions of the projector and camera lenses introduce imprecision in certain regions of the 3D reconstruction. In this paper, we...

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Tipo de recurso:
Fecha de publicación:
2018
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/8735
Acceso en línea:
https://hdl.handle.net/20.500.12585/8735
Palabra clave:
Calibración polinomial
Distorsiones geométricas
Fringe projection
Lens geometric distortions
Polynomial calibration
Proyección de franjas
Stereo vision
Visión estéreo
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
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network_acronym_str UTB2
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dc.title.none.fl_str_mv Camera-projector calibration methods with compensation of geometric distortions in fringe projection profilometry: A comparative study
dc.title.alternative.none.fl_str_mv Métodos de calibración cámara-proyector con compensación de distorsiones geométricas en perfilometría por proyección de franjas: Un estudio comparativo
title Camera-projector calibration methods with compensation of geometric distortions in fringe projection profilometry: A comparative study
spellingShingle Camera-projector calibration methods with compensation of geometric distortions in fringe projection profilometry: A comparative study
Calibración polinomial
Distorsiones geométricas
Fringe projection
Lens geometric distortions
Polynomial calibration
Proyección de franjas
Stereo vision
Visión estéreo
title_short Camera-projector calibration methods with compensation of geometric distortions in fringe projection profilometry: A comparative study
title_full Camera-projector calibration methods with compensation of geometric distortions in fringe projection profilometry: A comparative study
title_fullStr Camera-projector calibration methods with compensation of geometric distortions in fringe projection profilometry: A comparative study
title_full_unstemmed Camera-projector calibration methods with compensation of geometric distortions in fringe projection profilometry: A comparative study
title_sort Camera-projector calibration methods with compensation of geometric distortions in fringe projection profilometry: A comparative study
dc.subject.keywords.none.fl_str_mv Calibración polinomial
Distorsiones geométricas
Fringe projection
Lens geometric distortions
Polynomial calibration
Proyección de franjas
Stereo vision
Visión estéreo
topic Calibración polinomial
Distorsiones geométricas
Fringe projection
Lens geometric distortions
Polynomial calibration
Proyección de franjas
Stereo vision
Visión estéreo
description The calibration methods most used in fringe projection profilometry are based on models of least squares adjustment and stereo vision techniques. However, the geometric distortions of the projector and camera lenses introduce imprecision in certain regions of the 3D reconstruction. In this paper, we perform a comparative study between the second order polynomial adjustment method and the stereo calibration method applying lens distortion compensation. The experimental results show that in the stereo calibration the incidence of the distortions in the 3D reconstruction is significant. In contrast, in the proposed polynomial calibration, reconstruction errors are associated with the calibrated volume, typically low within the calibration volume. © Sociedad Española de óptica.Los métodos de calibración más usados en perfilometría por proyección de franjas están basados en modelos de ajustes por mínimos cuadrados y técnicas de visión estéreo. Sin embargo, las distorsiones geométricas de los lentes del proyector y de la cámara introducen imprecisión en ciertas regiones de la reconstrucción 3D. En este trabajo realizamos un estudio comparativo entre el método de ajuste polinomial de segundo orden y el método de calibración estéreo aplicando compensación de distorsiones. Los resultados experimentales muestran que en la calibración estéreo la incidencia de las distorsiones en la reconstrucción 3D es significativa. En cambio, en la calibración polinomial propuesta, los errores de reconstrucción están asociados al volumen calibrado. © Sociedad Española de óptica.
publishDate 2018
dc.date.issued.none.fl_str_mv 2018
dc.date.accessioned.none.fl_str_mv 2019-11-06T19:05:13Z
dc.date.available.none.fl_str_mv 2019-11-06T19:05:13Z
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dc.identifier.citation.none.fl_str_mv Optica Pura y Aplicada; Vol. 51, Núm. 3; pp. 1-10
dc.identifier.issn.none.fl_str_mv 0030-3917
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/8735
dc.identifier.doi.none.fl_str_mv 10.7149/OPA.51.3.50305
dc.identifier.instname.none.fl_str_mv Universidad Tecnológica de Bolívar
dc.identifier.reponame.none.fl_str_mv Repositorio UTB
identifier_str_mv Optica Pura y Aplicada; Vol. 51, Núm. 3; pp. 1-10
0030-3917
10.7149/OPA.51.3.50305
Universidad Tecnológica de Bolívar
Repositorio UTB
url https://hdl.handle.net/20.500.12585/8735
dc.language.iso.none.fl_str_mv eng
language eng
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dc.rights.cc.none.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.format.medium.none.fl_str_mv Recurso electrónico
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dc.publisher.none.fl_str_mv Sociedad Espanola de Optica
publisher.none.fl_str_mv Sociedad Espanola de Optica
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spelling 2019-11-06T19:05:13Z2019-11-06T19:05:13Z2018Optica Pura y Aplicada; Vol. 51, Núm. 3; pp. 1-100030-3917https://hdl.handle.net/20.500.12585/873510.7149/OPA.51.3.50305Universidad Tecnológica de BolívarRepositorio UTBThe calibration methods most used in fringe projection profilometry are based on models of least squares adjustment and stereo vision techniques. However, the geometric distortions of the projector and camera lenses introduce imprecision in certain regions of the 3D reconstruction. In this paper, we perform a comparative study between the second order polynomial adjustment method and the stereo calibration method applying lens distortion compensation. The experimental results show that in the stereo calibration the incidence of the distortions in the 3D reconstruction is significant. In contrast, in the proposed polynomial calibration, reconstruction errors are associated with the calibrated volume, typically low within the calibration volume. © Sociedad Española de óptica.Los métodos de calibración más usados en perfilometría por proyección de franjas están basados en modelos de ajustes por mínimos cuadrados y técnicas de visión estéreo. Sin embargo, las distorsiones geométricas de los lentes del proyector y de la cámara introducen imprecisión en ciertas regiones de la reconstrucción 3D. En este trabajo realizamos un estudio comparativo entre el método de ajuste polinomial de segundo orden y el método de calibración estéreo aplicando compensación de distorsiones. Los resultados experimentales muestran que en la calibración estéreo la incidencia de las distorsiones en la reconstrucción 3D es significativa. En cambio, en la calibración polinomial propuesta, los errores de reconstrucción están asociados al volumen calibrado. © Sociedad Española de óptica.Recurso electrónicoapplication/pdfengSociedad Espanola de Opticahttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85057739587&doi=10.7149%2fOPA.51.3.50305&partnerID=40&md5=4f13d90400cdef3facdbea4d15e81e80Scopus 57117284600Scopus 24329839300Scopus 57192270016Scopus 7004348301Scopus 36142156300Camera-projector calibration methods with compensation of geometric distortions in fringe projection profilometry: A comparative studyMétodos de calibración cámara-proyector con compensación de distorsiones geométricas en perfilometría por proyección de franjas: Un estudio comparativoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Calibración polinomialDistorsiones geométricasFringe projectionLens geometric distortionsPolynomial calibrationProyección de franjasStereo visionVisión estéreoVargas, R.Marrugo Hernández, Andrés GuillermoPineda, J.Meneses, J.Romero, L.A.Felipe-Sesé, L., Díaz, F.A., Siegmann, P., 'Integration of Fringe Projection and 2D Digital Image Correlation for the measurement of 3D displacements and strains,' (2017) Opt. Pura Apl, 50, pp. 25-35Gorthi, S.S., Rastogi, P., 'Fringe projection techniques: whither we are?,' (2010) Opt. Lasers Eng, 48, pp. 133-140Hanafi, A., Gharbi, T., Cornu, J.-Y., 'In vivo measurement of lower back deformations with Fourier transform profilometry.,' (2005) Appl. Opt, 44, pp. 2266-2273Barrios, J., Morón, M., Barrios, C., Contreras, R., González, A., Meneses, J., 'Three-dimensional scanning of the cornea by using a structured light module,' (2017) Opt. Pura y Apl, 50, pp. 351-357Guo, Q., Ruan, Y., Xi, J., Song, L., Zhu, X., Yu, Y., Tong, J., '3D shape measurement of moving object with FFT-based spatial matching,' (2018) Opt Laser Technol, 100, pp. 325-331Huang, L., Chua, P.S.K., Asundi, A., 'Least-squares calibration method for fringe projection profilometry considering camera lens distortion.,' (2010) Appl. Opt, 49, pp. 1539-1548Takeda, M., Mutoh, K., 'Fourier transform profilometry for the automatic measurement of 3-D object shapes.,' (1983) Appl. Opt, 22, p. 3977Poulin-Girard, A.-S., Thibault, S., Laurendeau, D., 'Influence of camera calibration conditions on the accuracy of 3D reconstruction,' (2016) Opt Express, 24, p. 2678Wen, Y., Li, S., Cheng, H., Su, X., Zhang, Q., 'Universal calculation formula and calibration method in Fourier transform profilometry.,' (2010) Appl. Opt, 49, pp. 6563-6569Lu, J., Mo, R., Sun, H., Chang, Z., 'Flexible calibration of phase-to-height conversion in fringe projection profilometry,' (2016) Appl. Opt, 55, p. 6381Zhang, S., Huang, P.S., 'Novel method for structured light system calibration,' (2006) Opt. Eng, 45Stavroulakis, P., Sims-Waterhouse, D., Piano, S., Leach, R., 'Flexible decoupled camera and projector fringe projection system using inertial sensors,' (2017) Opt. Eng. 56, no, 10, pp. 1-6Liu, H., Su, W.-H., Reichard, K., Yin, S., 'Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement,' (2003) Optics Commun, 216, pp. 65-80Liu, X., Cai, Z., Yin, Y., Jiang, H., He, D., He, W., Zhang, Z., Peng, X., 'Calibration of fringe projection profilometry using an inaccurate 2D reference target,' (2017) Opt. Lasers Eng, 89, pp. 131-137Yin, Y., Peng, X., Li, A., Liu, X., Gao, B.Z., 'Calibration of fringe projection profilometry with bundle adjustment strategy.,' (2012) Opt. Lett, 37, pp. 542-544Acevedo, D., Meneses, J., Global positioning system of an object using high resolution stereo vision (2012) Opt. Pura y Apl, 45, pp. 307-313Zhang, W., Li, W., Yu, L., Luo, H., Zhao, H., Xia, H., 'Sub-pixel projector calibration method for fringe projection profilometry,' (2017) Opt Express, 25, p. 19158Huang, Z., Xi, J., Yu, Y., Guo, Q., 'Accurate projector calibration based on a new point-to-point mapping relationship between the camera and projector images,' (2015) Appl. Opt, 54, pp. 347-356Zhang, S., (2016) High-Speed 3D Imaging with Digital Fringe Projection Techniques, , CRC PressBouguet, J.-Y., (2004) 'Camera calibration toolbox for Matlab,', , http://www.vision.caltech.edu/bouguetj/calib_doc/index.htmlZhang, Z., 'A flexible new technique for camera calibration,' (2000) IEEE Trans. Pattern Anal. Mach. 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