Abel Transform Inversion using Kalman Filter

被引：0

作者：

Gonzalez-Ramirez, E. ^{[1
]}

de la Rosa Miranda, E. ^{[1
]}

Arceo-Olague, J. G. ^{[1
]}

Villa-Hernandez, J. J. ^{[1
]}

de la Rosa Vargas, Ismael ^{[1
]}

Saucedo Anaya, Tonatiuh ^{[2
]}

Berriel-Valdos, L. R. ^{[3
]}

Araiza Esquivel, Ma Auxiliadora ^{[1
]}

机构：

[1] Univ Autonoma Zacatecas, Col Ctr, Unidad Acad Ingn Elect, Antiguo Camino Bufa 1, Zacatecas 98000, Zac, Mexico

[2] Univ Autonoma Zacatecas, Unidad Acad Fis, Zacatecas 98000, Zac, Mexico

[3] Inst Nacl Astrofis, Dept Opt, Puebla 72840, Mexico

来源：

8TH IBEROAMERICAN OPTICS MEETING AND 11TH LATIN AMERICAN MEETING ON OPTICS, LASERS, AND APPLICATIONS | 2013年 / 8785卷

关键词：

Kalman filter; Abel transform; phase unwrapping; interferometry;

D O I：

10.1117/12.2025494

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页数：5

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