DocumentCode
844796
Title
Convolution Algorithms for Arbitrary Projection Angles
Author
Davison, Mark E. ; Grunbaum, F.Alberto
Author_Institution
Department of Mathematics University of California Berkeley, California 94720
Volume
26
Issue
2
fYear
1979
fDate
4/1/1979 12:00:00 AM
Firstpage
2670
Lastpage
2673
Abstract
The point response function ¿ of a convolution algorithm for reconstructing a function from a finite set of its projections is the sum of the back-projections of the filters used. An effective method is given for choosing the filters so that ¿ is as close as possible to a specified point response ¿. The weighted mean square error in approximating ¿ by ¿ goes to 0 as the number of projection angles goes to infinity, independent of their placement. Compensation for additive noise in the projections is discussed and numerical results are presented.
Keywords
Additive noise; Approximation algorithms; Bismuth; Convolution; Filters; H infinity control; Mathematics; Mean square error methods; Power engineering and energy; Sampling methods;
fLanguage
English
Journal_Title
Nuclear Science, IEEE Transactions on
Publisher
ieee
ISSN
0018-9499
Type
jour
DOI
10.1109/TNS.1979.4330508
Filename
4330508
Link To Document