DocumentCode :
1093445
Title :
The relationship between image restoration by the maximum a posteriori method and a maximum entropy method
Author :
Trussell, H.J.
Author_Institution :
University of California, Los Alamos, NM
Volume :
28
Issue :
1
fYear :
1980
fDate :
2/1/1980 12:00:00 AM
Firstpage :
114
Lastpage :
117
Abstract :
For the linear imaging model g = Hf + n, the maximum a posteriori (MAP) restoration method is compared to the maximum entropy (ME) method defined by maximizing 
subject to 
. It is shown that the ME solution is a member of the set of MAP solutions defined by a set of a priori probability densities. The numerical methods developed for MAP restoration can be applied to ME restoration. The importance of the a priori probability distribution for the MAP restoration is demonstrated. Examples of ME restoration with the new method are shown and compared to previous results.
subject to . It is shown that the ME solution is a member of the set of MAP solutions defined by a set of a priori probability densities. The numerical methods developed for MAP restoration can be applied to ME restoration. The importance of the a priori probability distribution for the MAP restoration is demonstrated. Examples of ME restoration with the new method are shown and compared to previous results.Keywords :
Acoustic signal processing; Entropy; Equations; Image restoration; Least squares methods; Maximum a posteriori estimation; Probability density function; Probability distribution; Speech processing; Statistics;
fLanguage :
English
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
0096-3518
Type :
jour
DOI :
10.1109/TASSP.1980.1163348
Filename :
1163348
Link To Document :
