DocumentCode :
835641
Title :
Radon inversion and Kalman reconstructions: A comparison
Author :
Rohler, David ; Krishnaprasad, P.S.
Author_Institution :
Technicare Corporation, Solon, OH, USA
Volume :
26
Issue :
2
fYear :
1981
fDate :
4/1/1981 12:00:00 AM
Firstpage :
483
Lastpage :
487
Abstract :
Some of the recent applications of computerized tomography (CT) such as gated cardiac scanning and dynamic scanning are challenging the capabilities of the convolution/backprojection reconstruction algorithm. Increased attention is being directed toward techniques which take advantage of apriori information (e.g., measurement noise statistics, average pixel (picture element) correlations, shape of scanning beam). Such algorithms (e.g., Kalman filter) are generally characterized (and controlled) by a pixel error-covariance matrix. It is important to be able to compare these algorithms with convolution/backprojection techniques. This paper provides that capability by deriving a convenient expression for the pixel error-covariance for algorithms based on the Radon inversion formula. The expression is than adapted to a specific fan-beam data acquisition scheme. Using this expression, the convolution/backprojection algorithm is compared with two algorithms based on the Kalman filter for a variety of scanning configurations.
Keywords :
Tomography; Application software; Computed tomography; Convolution; Error correction; Kalman filters; Noise measurement; Noise shaping; Reconstruction algorithms; Shape measurement; Statistics;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1981.1102650
Filename :
1102650
Link To Document :
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