Reconstruction of smooth distributions from a limited number of projections

Journal Article · Sat Oct 01 00:00:00 EDT 1988 · Appl. Opt.; (United States)

DOI:https://doi.org/10.1364/AO.27.004084· OSTI ID:6905037

Ravichandran, M; Gouldin, F C

Two reconstruction methods that recognize smoothness to be a priori information and use numerically space-limited basis functions have been developed. The first method is a modification of the well-known convolution method and uses such basis functions for the projections. The second method is a continuous algebraic reconstruction technique that employs consistent basis functions for the projections as well as the distribution and makes use of other a priori information like the constraints on the domain as well as the range of the distribution in a rigorous way. The efficacy of these methods has been demonstrated using a limited number of projections synthetically generated from a distribution phantom.

• Research Organization: Cornell University, Sibley School of Mechanical and Aerospace Engineering, Ithaca, New York 14853-7501
• OSTI ID: 6905037
• Journal Information: Appl. Opt.; (United States), Vol. 27:19
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
IMAGE PROCESSING
ALGORITHMS
TRANSFORMATIONS
DISTRIBUTION FUNCTIONS
FUNCTIONS
MATHEMATICAL LOGIC
PROCESSING
657000* - Theoretical & Mathematical Physics