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Structure of Divisible Discrete Random Sets and Their Randomized Superpositions

dc.contributor.authorSidiropoulos, N.en_US
dc.contributor.authorBaras, John S.en_US
dc.contributor.authorBerenstein, Carlos A.en_US
dc.description.abstractIn this paper, we present an axiomatic formulation of Discrete Random Sets, and extend Choquet's uniqueness result to obtain a recursive procedure for the computation of the underlying event- space probability law, given a consistent Discrete Random Set specification via its generating functional. Based on this extension, we investigate the structure of Discrete Random Set models that enjoy the properties of independent decomposition/superposition, and present a design methodology for deriving models that are guaranteed to be consistent with some underlying event-space probability law. These results pave the way for the construction of various interesting models, and the solution of statistical inference problems for Discrete Random Sets.en_US
dc.format.extent1002223 bytes
dc.relation.ispartofseriesISR; TR 1991-54en_US
dc.subjectimage processingen_US
dc.subjectsignal processingen_US
dc.subjectmathematical morphelogyen_US
dc.subjectdiscrete Random set theoryen_US
dc.subjectSystems Integrationen_US
dc.titleStructure of Divisible Discrete Random Sets and Their Randomized Superpositionsen_US
dc.typeTechnical Reporten_US

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