Methods of 3D reconstruction by fringe projection: A comparative study

Authors

DOI:

https://doi.org/10.24054/6t2dej53

Keywords:

3D reconstruction, fringe projection, Fourier transform, Phase shifting

Abstract

This work proposes the design and construction of a three-dimensional reconstruction system based on fringe projection. The system is composed of a 752x480 pixels CMOS color camera and a DellM115HD mini-videobeam with LED illumination, these devices are located in triangulation configuration. An interface was developed in Matlab that controls the videobeam and the camera, which allows the capture of the images of the fringes projected on the sample automatically.  In addition, some 3D reconstruction algorithms were implemented, such as: Phase Shifting (3, 4 and 5 images) and the Fourier transform phase analysis algorithm. In this work, a comparative analysis of accuracy and resolution of the methods is made, as well as advantages and disadvantages. Finally, reconstructions of various objects by the different algorithms implemented are presented.

952 173

Downloads

Download data is not yet available.

References

D. M. Meadows, W. O. Johnson, and J. B. Allen, “Generation of surface contours by moiré patterns,” Applied Optics, vol. 9, no. 5, pp. 942–947, 1970. doi: 10.1364/AO.9.000942

M. Takeda and K. Mutoh, “Fourier transform profilometry for the automatic measurement of 3D object shapes,” Applied Optics, vol. 22, no. 24, pp. 3977–3982, 1983. doi: 10.1364/AO.22.003977

V. Srinivasan, H.-C. Liu, and M. Halioua, “Automated phase-measuring profilometry of 3D diffuse objects,” Applied Optics, vol. 23, no. 18, pp. 3105–3108, 1984. doi: 10.1364/AO.23.003105

M. Rioux, “Laser range finder based on synchronized scanners,” Applied Optics, vol. 23, no. 21, pp. 3837–3844, 1984. doi: 10.1364/AO.23.003837

J. Sánchez, M. Molina, and N. Arias, “Construcción de un microscopio perfilométrico por interferometría de luz blanca,” Revista Colombiana de Tecnologías de Avanzada, vol. 2, no. 36, 2020.

N. Arias, M. Molina, M. Suárez, J. Meneses, and T. Gharbi, “Codificador 2D de posición, desplazamiento y orientación utilizando un patrón de referencia periódico y la transformada de Fourier,” Revista Bistua, vol. 12, no. 1, 2014.

E. Spidell, “Selecting the optimum image sensors: camera tubes vs. solid-state arrays,” Optical Engineering, vol. 23, no. 1, pp. 158–163, 1984.

IDS Imaging Development Systems GmbH, “USB 3.0 uEye cameras,” Available: https://es.ids-imaging.com/store/products/cameras/usb-3-0-cameras/ueye-cp.html Accessed: Feb. 2025.

J. E. Meneses, “Análisis de sistemas de franjas en tiempo real con aplicación a la interferometría y la topografía de formas estructurales,” Tesis de Maestría, Universidad Industrial de Santander, Bucaramanga, 1990.

J. D. Gaskill, Linear Systems, Fourier Transforms, and Optics. Tucson, AZ: Optical Sciences Center, University of Arizona, 1978.

P. O. J. Scherer, Computational Physics: Simulation of Classical and Quantum Systems. Berlin, Germany: Springer, 2010.

H. S. Abdul-Rahman, M. A. Gdeisat, D. R. Burton, M. J. Lalor, F. Lilley, and A. Abid, “Three-dimensional Fourier fringe analysis,” Optics and Lasers in Engineering, vol. 46, no. 5, pp. 446–455, 2008. doi: 10.1016/j.optlaseng.2008.01.004

H. Abdul-Rahman, M. Gdeisat, D. Burton, and M. Lalor, “Fast three-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path,” in Optical Measurement Systems for Industrial Inspection IV, Munich, Germany: SPIE, 2005. doi: 10.1117/12.611415.

H. Abdul-Rahman, M. Gdeisat, D. Burton, M. Lalor, F. Lilley, and C. Moore, “Fast and robust three-dimensional best-path phase-unwrapping algorithm,” Applied Optics, vol. 46, no. 26, pp. 6623–6635, 2007. doi: 10.1364/AO.46.006623

R. Cusack and N. Papadakis, “New robust 3-D phase-unwrapping algorithms: Application to magnetic field mapping and undistorting echo planar images,” NeuroImage, vol. 16, no. 3, pp. 754–764, 2002. doi: 10.1006/nimg.2002.1092

Downloads

Published

2026-01-28

How to Cite

Gelvez Ramirez, H. Y., Molina Prado, M. L., & Arias Hernández, N. A. (2026). Methods of 3D reconstruction by fringe projection: A comparative study. BISTUA Revista De La Facultad De Ciencias Básicas, 23(2), 74-86. https://doi.org/10.24054/6t2dej53

Similar Articles

1-10 of 208

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)