Asymptotic performance analysis of Bayesian target recognition
Grenander, U.; Srivastava, A.; Miller, M.I.
Information Theory, IEEE Transactions on
Volume 46, Issue 4, Jul 2000 Page(s):1658 - 1665
Digital Object Identifier   10.1109/18.850712
Summary:This article investigates the asymptotic performance of Bayesian target recognition algorithms using deformable-template representations. Rigid computer-aided design (CAD) models represent the underlying targets; low-dimensional matrix Lie-groups (rotation and translation) extend them to particular instances. Remote sensors observing the targets are modeled as projective transformations, converting three-dimensional scenes into random images. Bayesian target recognition corresponds to hypothesis selection in the presence of nuisance parameters; its performance is quantified as the Bayes' error. Analytical expressions for this error probability in small noise situations are derived, yielding asymptotic error rates for exponential error probability decay

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