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Proceedings Paper

Abel transform inversion using Kalman filter
Author(s): E. González-Ramírez; E. de la Rosa Miranda; J. G. Arceo-Olague; J. J. Villa-Hernández; Ismael de la Rosa Vargas; Tonatiuh Saucedo Anaya; L. R. Berriel-Valdos; Ma Auxiliadora Araiza-Esquivel
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Paper Abstract

Refractive index, temperature, pressure, velocity and many other physical magnitudes of phase objects in the refraction less limit are of great interest in engineering and science. Optical tomography is a technique used to estimate these magnitudes. For axially symmetrical phase objects the tomographic reconstruction can be carried out from just one projection when using Abel transform. However, for noisy projections the reconstruction shows low quality. This quality can be improved when using the Kalman filter to compute the inverse Abel Transform. In this paper a tomographic reconstruction method for syntectic axially symmetrical phase objects using Kalman filter is presented.

Paper Details

Date Published: 18 November 2013
PDF: 5 pages
Proc. SPIE 8785, 8th Iberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers, and Applications, 8785B6 (18 November 2013); doi: 10.1117/12.2025494
Show Author Affiliations
E. González-Ramírez, Univ. Autónoma de Zacatecas (Mexico)
E. de la Rosa Miranda, Univ. Autónoma de Zacatecas (Mexico)
J. G. Arceo-Olague, Univ. Autónoma de Zacatecas (Mexico)
J. J. Villa-Hernández, Univ. Autónoma de Zacatecas (Mexico)
Ismael de la Rosa Vargas, Univ. Autónoma de Zacatecas (Mexico)
Tonatiuh Saucedo Anaya, Univ. Autónoma de Zacatecas (Mexico)
L. R. Berriel-Valdos, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)
Ma Auxiliadora Araiza-Esquivel, Univ. Autónoma de Zacatecas (Mexico)

Published in SPIE Proceedings Vol. 8785:
8th Iberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers, and Applications
Manuel Filipe P. C. Martins Costa, Editor(s)

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