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Closed-form solutions to replacement target models of sub-pixel spectral detection
Author(s): Alan Schaum
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Paper Abstract

We revisit the replacement target problem in the spectro-optic detection of opaque sub-pixel materials, but with a more general distribution model. For pure target or background pixels we assume independent elliptically contoured distributions with covariance matrices related by a scale factor. An unknown sub-pixel mixing ratio defines a composite hypothesis testing problem, whose generalized likelihood ratio test cannot be expressed in closed form for the usual distribution models. Instead we derive closed-form detectors based on a clairvoyant fusion technique that effects a renormalization of the target probability density functions. These robust algorithms prove in some cases to be nearly indistinguishable from the intractable generalized likelihood ratio test solutions.

Paper Details

Date Published: 8 May 2018
PDF: 8 pages
Proc. SPIE 10644, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XXIV, 1064406 (8 May 2018); doi: 10.1117/12.2303839
Show Author Affiliations
Alan Schaum, U.S. Naval Research Lab. (United States)


Published in SPIE Proceedings Vol. 10644:
Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XXIV
Miguel Velez-Reyes; David W. Messinger, Editor(s)

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