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Double-digital fringe projection for optical phase retrieval of a single frame

D. A. GUTIÉRREZ HERNÁNDEZ1,2,* , G. G. ATONDO-RUBIO3, J. R. PARRA MICHEL4, R. SANTIAGO-MONTERO1, V. H. ROMERO5, J. DEL VALLE HERNÁNDEZ1, I. IBARRA SOLIS6

Affiliation

  1. Tecnológico Nacional de México. Instituto Tecnológico de León. División de Estudios de Posgrado e Investigación. Avenida Tecnológico s/n, Industrial Julián de Obregón, 37290 León, Guanajuato, México.
  2. Escuela de Ciencias Físico–Matemáticas, Universidad Autónoma de Sinaloa, Ciudad Universitaria s/n, 80010 Culiacán, Sinaloa, México
  3. Escuela de Ciencias Físico–Matemáticas, Universidad Autónoma de Sinaloa, Ciudad Universitaria s/n, 80010 Culiacán, Sinaloa, México.
  4. Escuela de Ingenierías. Universidad De La Salle Bajío, Av. Universidad 602, Col. Lomas del Campestre, León, Guanajuato, México
  5. Universidad de Guadalajara, Centro Universitario de Tonalá. Div. de Ciencias. Depto. de Ing., 48525, Tonalá, Jalisco, México
  6. Instituto Politécnico Nacional. Unidad Profesional Interdisciplinaria de Ingenierías campus Guanajuato. Av. Mineral de Valenciana No. 200, Col. Fracc. Industrial Puerto Interior, C.P. 36275 Silao de

Abstract

Digital Fringe projection profilometry is widely used to measure the 3D surface shape of an object. In industrial applications, where dynamic situations are presented, single frame analysis techniques are suitable to work better and are desirable over other optical techniques due to the fast acquisition of data, the few elements needed to build an experimental set-up and the non-synchronization between all components required to do the measurement. In this paper we propose a method based on a double-digital fringe projection that only requires one fringe pattern for the extraction of the optical phase by means of the Isotropic Quadrature Transform. The method is very simple, fast, low cost and easy to implement for engineering purposes. The double-digital fringe projection allows the camera of the set-up to record the shadows corresponding to the shape of the object, giving the chance to get a good quality measurement considering details of the object that cannot be detected with other kind of illumination or other optical techniques. A few experiments are presented and the resulted retrieval phase of different objects is shown together with a profile of the phase across the y-axis in a selected point along the x-axis..

Keywords

Phase Retrieval, Fringe Projection, Profilometry.

Submitted at: July 29, 2015
Accepted at: Sept. 9, 2015

Citation

D. A. GUTIÉRREZ HERNÁNDEZ, G. G. ATONDO-RUBIO, J. R. PARRA MICHEL, R. SANTIAGO-MONTERO, V. H. ROMERO, J. DEL VALLE HERNÁNDEZ, I. IBARRA SOLIS, Double-digital fringe projection for optical phase retrieval of a single frame, Journal of Optoelectronics and Advanced Materials Vol. 17, Iss. 9-10, pp. 1248-1253 (2015)