Share Email Print

Proceedings Paper

Spatial filtering and optical tomography of edge enhancement of a phase object
Author(s): Areli Montes Pérez; Cruz Meneses Fabián; Gustavo Rodríguez Zurita
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

Using a 4f optical system, the Hilbert transform [1] of the projections of the object slice is implemented to reconstruct its edge enhancement using the parallel projection tomography. The projection going out of the object is considered as the entrance to the 4f optical system, the filter employed in the Fourier plane consisting of a phase step of π radians, in the image plane, as it is well known, the output function is given by the convolution of the impulse response and the input function, then in the image plane the Hilbert transform of the projection is obtained. We show that the reconstruction in this case is the Hilbert transform in vertical direction of the slice function, which is a special case. Also study in detail the synthesis of the filter in order to obtain the reconstruction the edge enhanced in an arbitrary direction, which is general case.

Paper Details

Date Published: 3 December 2009
PDF: 6 pages
Proc. SPIE 7499, Seventh Symposium Optics in Industry, 74990Y (3 December 2009); doi: 10.1117/12.851102
Show Author Affiliations
Areli Montes Pérez, Benemérita Univ. Autónoma de Puebla (Mexico)
Cruz Meneses Fabián, Benemérita Univ. Autónoma de Puebla (Mexico)
Gustavo Rodríguez Zurita, Benemérita Univ. Autónoma de Puebla (Mexico)

Published in SPIE Proceedings Vol. 7499:
Seventh Symposium Optics in Industry
Guillermo García Torales; Jorge L. Flores Núñez; Gilberto Gómez Rosas; Eric Rosas, Editor(s)

© SPIE. Terms of Use
Back to Top