Camera-Projector Calibration Methods with Compensation of Geometric Distortions in Fringe Projection Profilometry: A Comparative Study

Métodos de calibración cámara-proyector con compensación de distorsiones geométricas en perfilometría por proyección de franjas: un estudio comparativo

By: R. Vargas, A. G. Marrugo, J. Pineda, J. Meneses, L. Romero

Main Information

Volume:
Vol.51-N3 / 2018 - Ordinario
Section:
Image Processing and Imaging Techniques
Pages:
50305:1-10
DOI:
http://doi.org/10.7149/OPA.51.3.50305
Type:
Research Paper
Language:
English
Attachments:
Keywords:
Fringe projection, stereo-vision, lens geometric distortions, polynomial calibration.

Proyección de franjas, visión estéreo, distorsiones geométricas, calibración polinomial.
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Abstract

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.


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.

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