Limited-Angle 3-D Reconstructions Using Fourier Transform Iterations And Radon Transform Iterations

Kwok-Cheong Tam; Victor Perez-Mendez

doi:10.1117/12.958841

22 August 1980 Limited-Angle 3-D Reconstructions Using Fourier Transform Iterations And Radon Transform Iterations

Kwok-Cheong Tam, Victor Perez-Mendez

Proceedings Volume 0231, 1980 Intl Optical Computing Conf I; (1980) https://doi.org/10.1117/12.958841
Event: 1980 Technical Symposium East, 1980, Washington, D.C., United States

Abstract

The principles of limited-angle reconstruction of space-limited objects using the concepts of "allowed cone" and "missing cone" in Fourier space are discussed. The distortion of a point source resulting from setting the Fourier components in the missing cone to zero has been calculated mathematically, and its bearing on the convergence of an iteration scheme involving Fourier transforms has been analysed in detail. It was found that the convergence rate is fairly insensitive to the position of the point source within the boundary of the object, apart from an edge effect which tends to enhance some parts of the boundary in reconstructing the object. Another iteration scheme involving Radon transforms was introduced and compared to the Fourier transform method in such areas as root mean square error, stability with respect to noise, and computer reconstruction time.

Citation Download Citation

Kwok-Cheong Tam and Victor Perez-Mendez "Limited-Angle 3-D Reconstructions Using Fourier Transform Iterations And Radon Transform Iterations", Proc. SPIE 0231, 1980 Intl Optical Computing Conf I, (22 August 1980); https://doi.org/10.1117/12.958841

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