Closed-form solutions to replacement target models of sub-pixel spectral detection

Alan Schaum

doi:10.1117/12.2303839

8 May 2018 Closed-form solutions to replacement target models of sub-pixel spectral detection

Alan Schaum

Proceedings Volume 10644, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XXIV; 1064406 (2018) https://doi.org/10.1117/12.2303839
Event: SPIE Defense + Security, 2018, Orlando, FL, United States

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.

Conference Presentation

Citation Download Citation

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); https://doi.org/10.1117/12.2303839

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