Tomographic reconstructions using map algorithms - application to the SPIDR mission

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Description

The spectral image of an astronomical scene is reconstructed from noisy tomographic projections using maximum a posteriori (MAP) and filtered backprojection (FBP) algorithms. Both maximum entropy (ME) and Gibbs prior are used in the MAP reconstructions. The scene, which is a uniform background with a localized emissive source superimposed on it, is reconstructed for a broad range of source counts. The algorithms are compared regarding their ability to detect the source in the background. Detectability is defined in terms of a contrast-to-noise ratio (CNR) which is a Monte Carlo ensemble average of spatially averaged CNRs for the individual reconstructions. Overall, ... continued below

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22 pages

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Ghosh Roy, D.N.; Wilton, K.; Cook, T.A.; Chakrabarti, S.; Qi, J. & Gullberg, G.T. January 21, 2004.

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Description

The spectral image of an astronomical scene is reconstructed from noisy tomographic projections using maximum a posteriori (MAP) and filtered backprojection (FBP) algorithms. Both maximum entropy (ME) and Gibbs prior are used in the MAP reconstructions. The scene, which is a uniform background with a localized emissive source superimposed on it, is reconstructed for a broad range of source counts. The algorithms are compared regarding their ability to detect the source in the background. Detectability is defined in terms of a contrast-to-noise ratio (CNR) which is a Monte Carlo ensemble average of spatially averaged CNRs for the individual reconstructions. Overall, MAP was found to yield improved CNR relative to FBP. Moreover, as a function of the total source counts, the CNR varies distinctly different for source and background regions. This may be important in separating a weak source from the background.

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22 pages

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OSTI as DE00838183

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  • Other Information: PBD: 21 Jan 2004

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  • Report No.: LBNL--54934
  • Grant Number: AC03-76SF00098
  • DOI: 10.2172/838183 | External Link
  • Office of Scientific & Technical Information Report Number: 838183
  • Archival Resource Key: ark:/67531/metadc785096

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Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • January 21, 2004

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  • Dec. 3, 2015, 9:30 a.m.

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  • April 4, 2016, 5:43 p.m.

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Ghosh Roy, D.N.; Wilton, K.; Cook, T.A.; Chakrabarti, S.; Qi, J. & Gullberg, G.T. Tomographic reconstructions using map algorithms - application to the SPIDR mission, report, January 21, 2004; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc785096/: accessed May 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.