Computational considerations of the two-dimensional discrete x-ray transform

Saleem Gregory Zougbi

doi:10.1117/12.18916

1 July 1990 Computational considerations of the two-dimensional discrete x-ray transform

Saleem Gregory Zougbi

Author Affiliations +

Proceedings Volume 1233, Medical Imaging IV: Image Processing; (1990) https://doi.org/10.1117/12.18916
Event: Medical Imaging '90, 1990, Newport Beach, CA, United States

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)

Citation Download Citation

Saleem Gregory Zougbi "Computational considerations of the two-dimensional discrete x-ray transform", Proc. SPIE 1233, Medical Imaging IV: Image Processing, (1 July 1990); https://doi.org/10.1117/12.18916

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

;

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
7 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Image processing

Medical imaging

Signal attenuation

X-rays

Photons

Digital filtering

Image filtering

Show All Keywords

Keywords/Phrases

Search In:

Publication Years