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Proceedings Paper

Quantifying the benefits of positivity
Author(s): Brandoch Calef
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Paper Abstract

It is well known that positivity constraints improve the performance of image reconstruction procedures such as deconvolution. However, their impact on the recovered image is more difficult to characterize than linear constraints such as support. For the problem of deconvolution in the presence of additive Gaussian noise, we derive an approximation to the bias and variance of the maximum likelihood estimator and compare the improvement in mean-square error due to positivity with the gain derived from support constraints. Then we propose a generalized Bayes estimator and demonstrate that it has lower mean-square error in most cases than the maximum likelihood estimator. The degree to which it outperforms maximum likelihood is especially dramatic when SNR is low or blurring is strong.

Paper Details

Date Published: 23 August 2005
PDF: 8 pages
Proc. SPIE 5896, Unconventional Imaging, 589605 (23 August 2005); doi: 10.1117/12.616585
Show Author Affiliations
Brandoch Calef, Boeing LTS (United States)

Published in SPIE Proceedings Vol. 5896:
Unconventional Imaging
Victor L. Gamiz; Paul S. Idell, Editor(s)

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