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RESTORING WITH MAXIMUM LIKELIHOOD

QC 351 A7 no. 67 / Given M sampled image values, what can be deduced as the most likely object? We find the most likely object to be represented by a restoring formula that is positive and not bandlimited. Using computer simulation, we test this restoring formula upon noisy images due to star fields and randomly stepped objects. In all test cases involving star fields, the maximum-likelihood restorations have significantly higher resolution than do corresponding restorations by inverse filtering. Further, there is no spurious detail in the maximum-likelihood restorations when the star image has noise of about 5% (or less). This lack of spurious detail does not, however, hold in restoring the randomly stepped objects. In the first test of the method upon experimental data, some spectroscopic data are restored, again with enhanced resolution. For example, what appears as a single line in the data is restored as a doublet.

Identiferoai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/621671
Date02 1900
CreatorsFrieden, B. Roy
PublisherOptical Sciences Center, University of Arizona (Tucson, Arizona)
Source SetsUniversity of Arizona
Languageen_US
Detected LanguageEnglish
TypeTechnical Report
RightsCopyright © Arizona Board of Regents
RelationOptical Sciences Technical Report 67

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