Mínimos cuadrados para la calibración en reconstrucción 3D mediante proyección de franjas





Profilometry, fringe analysis, 3D measurement, least squares


In surface measurement systems using the phase shift technique with fringe projection, the calibration of the system is essential to determine the relation between obtained phase and real height of the object. In this work, we present a detailed mathematical analysis for the linear calibration model. Derivation of the least squares scheme which is required for data estimation, is developed intuitively by means of using the underlying theory in numerical analysis. The calibration method is applied to the surface of a 3D object obtaining remarkable results.

Author Biographies

Antonio Muñoz, University of Guadalajara

Researcher Full Professor, Engineering Department

Omar Aguilar Loreto, Universidad de Guadalajara

Research Full Professor, Engineering Department

Jorge L. Flores, University of Guadalajara

Researcher Full Professor, Electronic Engineering Department


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How to Cite

A. . Muñoz, O. Aguilar Loreto, and J. . L. Flores, “Mínimos cuadrados para la calibración en reconstrucción 3D mediante proyección de franjas”, Rev. Mex. Fis. E, vol. 20, no. 1 Jan-Jun, pp. 010206 1–, Jan. 2023.