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Proceedings Paper

Computational considerations of the two-dimensional discrete x-ray transform
Author(s): Saleem Gregory Zougbi
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Paper Abstract

If photons are of constant energy and if they are emitted with constant intensity in the body say I then the intensity I of the photons reaching a film is established as I 10 e IS I''(XrY) dx. dy (1) where IA(x is the Xray attenuation coefficient of the medium (tissue or organ) at point (x from the source. An X-''ray transform is defined for a function f(x as i: f(( 1 J'' f( e . f(: ds . dt (2) It is shown that after sampling the discrete form of this transform is N N . ) ''i. nk i i 1 e '' (3) In this paper the computational aspects of this transform are studied and different algorithmic procedures are outlined. Furthermore its application in convolution and filtering is evaluated in medical image processing. Emphasis is placed on the use of residue arithmetic where this transform is used as numbertheoretic. It is compared with other potentially effective transforms as specially applied to medical image processing. 392 / SPIE Vol. 1233 Medical Imaging/V Image Processing (1990)

Paper Details

Date Published: 1 July 1990
PDF: 7 pages
Proc. SPIE 1233, Medical Imaging IV: Image Processing, (1 July 1990); doi: 10.1117/12.18916
Show Author Affiliations
Saleem Gregory Zougbi, Bethlehem Univ. (Israel)

Published in SPIE Proceedings Vol. 1233:
Medical Imaging IV: Image Processing
Murray H. Loew, Editor(s)

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