Abstract:
:A general approach that the authors proposed elsewhere reveals the intrinsic relationship among methods for inversion of the 2-D exponential Radon transform described by Bellini et al. (1979), by Tretiak and Metz (1980), by Hawkins et al. (1988), and by Inouye et al. (1989). Moreover, the authors' approach provides an infinite class of linear methods for inverting the 2-D exponential Radon transform. In the work reported here, the authors systematically investigated the noise characteristics of the methods in this class, obtaining analytical forms for the autocovariance and the variance of the images reconstructed by use of various methods. The noise properties of a new "quasi-optimal" method were then compared theoretically to those of other methods of the class. The authors' analysis demonstrates that the quasi-optimal method achieves smaller global variance in the reconstructed images than do the other methods of the class. Extensive numerical simulation studies confirm this prediction.
journal_name
IEEE Trans Med Imagingjournal_title
IEEE transactions on medical imagingauthors
Pan X,Metz CEdoi
10.1109/42.476107subject
Has Abstractpub_date
1995-01-01 00:00:00pages
659-68issue
4eissn
0278-0062issn
1558-254Xjournal_volume
14pub_type
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journal_title:IEEE transactions on medical imaging
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journal_title:IEEE transactions on medical imaging
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journal_title:IEEE transactions on medical imaging
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pub_type: 临床试验,杂志文章
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journal_title:IEEE transactions on medical imaging
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journal_title:IEEE transactions on medical imaging
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