DocumentCode :
1500770
Title :
Wavelet-domain filtering for photon imaging systems
Author :
Nowak, Robert D. ; Baraniuk, Richard G.
Author_Institution :
Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA
Volume :
8
Issue :
5
fYear :
1999
fDate :
5/1/1999 12:00:00 AM
Firstpage :
666
Lastpage :
678
Abstract :
Many imaging systems rely on photon detection as the basis of image formation. One of the major sources of error in these systems is Poisson noise due to the quantum nature of the photon detection process. Unlike additive Gaussian white noise, the variance of Poisson noise is proportional to the underlying signal intensity, and consequently separating signal from noise is a very difficult task. In this paper, we perform a novel gedankenexperiment to devise a new wavelet-domain filtering procedure for noise removal in photon imaging systems. The filter adapts to both the signal and the noise, and balances the trade-off between noise removal and excessive smoothing of image details. Designed using the statistical method of cross-validation, the filter is simultaneously optimal in a small-sample predictive sum of squares sense and asymptotically optimal in the mean-square-error sense. The filtering procedure has a simple interpretation as a joint edge detection/estimation process. Moreover, we derive an efficient algorithm for performing the filtering that has the same order of complexity as the fast wavelet transform itself. The performance of the new filter is assessed with simulated data experiments and tested with actual nuclear medicine imagery
Keywords :
adaptive filters; computational complexity; edge detection; interference suppression; medical image processing; radioisotope imaging; wavelet transforms; Poisson noise; complexity; cross-validation; filtering procedure; gedankenexperiment; image formation; joint edge detection/estimation process; noise removal; nuclear medicine imagery; photon detection; photon imaging systems; smoothing; statistical method; underlying signal intensity; wavelet-domain filtering; Additive white noise; Filtering algorithms; Filters; Gaussian noise; Image edge detection; Medical simulation; Smoothing methods; Statistical analysis; Wavelet transforms; White noise;
fLanguage :
English
Journal_Title :
Image Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7149
Type :
jour
DOI :
10.1109/83.760334
Filename :
760334
Link To Document :
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