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Information-Theoretic ImagingJ. A. O’Sullivan. CMU Seminar, 03/13/2002Function EstimationLet S and T be two target types,f S and f T the corresponding functionsf S : D R or R +Spatial domain D:Surface of objectRectangular region in R 2ContinuousPose space :Typically SE(3)Simpler to consider SE(2), SO(2)is continuousAssume a null function f 044
Information-Theoretic ImagingJ. A. O’Sullivan. CMU Seminar, 03/13/2002Function Estimation: SieveFunction space FFamily of subsets F - Maximum likelihood estimate of f exists for each - F FUlf GrenanderSpline sieves = 1/Q,where Q = number of coefficients.Nonnegative functions, nonnegative expansions.Pierre Moulin, et al.f() ) = ka(k) k ()) , a(k) >= 045
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Information-Theoretic

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