1996
DOI: 10.1051/aas:1996310
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Minimum error image reconstruction for coded mask telescopes

Abstract: Abstract. -A new method is proposed for reconstructing the data from coded aperture X /7 -ray telescopes. This technique, based on the Wiener criterion, is essentially a generalisation of existing Wiener filtering methods but is not confined to systems with position independent point source response functions. The reconstruction method trades off the image degrading effects of statistical detector noise with the effects of imperfect source field coding, to produce a minimum error source field estimate. It offe… Show more

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Cited by 6 publications
(4 citation statements)
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“…Although for sufficiently long observations or combinations of observations, these systematic errors will inevitably become important, many methods are available to reduce them [33][34][35][36][37][38][39][40][41][42][43]. Typically these involves fitting and subtracting bright sources or otherwise taking them into account, and carefully modeling background non-uniformities.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Although for sufficiently long observations or combinations of observations, these systematic errors will inevitably become important, many methods are available to reduce them [33][34][35][36][37][38][39][40][41][42][43]. Typically these involves fitting and subtracting bright sources or otherwise taking them into account, and carefully modeling background non-uniformities.…”
Section: Introductionmentioning
confidence: 99%
“…The ghost images and other imaging artifacts that arise from partial coding, from non-uniform background, or from other effects present in real instruments can be alleviated provided one has a good understanding of the instrument and adequate computing resources. Although for sufficiently long observations or combinations of observations, these systematic errors will inevitably become important, many methods are available to reduce them [33][34][35][36][37][38][39][40][41][42][43]. Typically these involves fitting and subtracting bright sources or otherwise taking them into account, and carefully modeling background non-uniformities.…”
Section: Introductionmentioning
confidence: 99%
“…In order to obtain S from D, several approaches and algorithms have been discussed in the literature (see Skinner (2003) for a review) and used in specific instruments with specific detector systems and mask patterns (Hammersley et al 1992;Skinner et al 1987a;Krivonos et al 2010;Chou et al 2005;Hong 2002;Rideout and Skinner 1996). A widely used reconstruction method, described in this paper, is the correlation of the recorded data with a suitable decoding function that in general mimics the mask pattern.…”
Section: Image Formationmentioning
confidence: 99%
“…Hence, the reconstruction (6) is a constrained Wiener filtering which extends the work of Rideout & Skinner (1996) to the Poissonian statistic. This choice is attractive, since it usually produces faster algorithmic forms.…”
Section: Choosing a Penalty Functional φmentioning
confidence: 99%