Projection and backprojection models, and projection sampling in tomography

Jeanpierre V. Guedon; Yves J. Bizais

doi:10.1117/12.18798

1 July 1990 Projection and backprojection models, and projection sampling in tomography

Proceedings Volume 1231, Medical Imaging IV: Image Formation; (1990) https://doi.org/10.1117/12.18798
Event: Medical Imaging '90, 1990, Newport Beach, CA, United States

Abstract

In this paper, a continuous / discrete projection / backprojection model is presented, from which the validity of the discrete projection / reconstruction algorithm can be assessed. We mainly focus on projection sampling since angular sampling has been extensively studied previously. For this purpose a pixel intensity distribution model relating continuous and discrete original functions is proposed. Sampling of model projections is then studied, and projection filtering analyzed. Proper implementation of the discrete backprojection operator is derived, such that the resulting reconstructed function can be compared with the original one, and the overall consistency of the aproach proved. Experimental results are presented to demonstrate the validity of the theoritical approach. The consequences of properly sampling projections in practical conditions are fmally discussed.

Citation Download Citation

Jeanpierre V. Guedon and Yves J. Bizais "Projection and backprojection models, and projection sampling in tomography", Proc. SPIE 1231, Medical Imaging IV: Image Formation, (1 July 1990); https://doi.org/10.1117/12.18798

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