8 May 2018 Closed-form solutions to replacement target models of sub-pixel spectral detection
Author Affiliations +
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.
Conference Presentation
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Alan Schaum, Alan Schaum, "Closed-form solutions to replacement target models of sub-pixel spectral detection ", Proc. SPIE 10644, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XXIV, 1064406 (8 May 2018); doi: 10.1117/12.2303839; https://doi.org/10.1117/12.2303839

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