Bayesian Hypothesis Testing for Boolean Random Sets with Radial Convex Primary Grains Using Morphological Skeleton Transforms

dc.contributor.authorSidiropoulos, N.en_US
dc.contributor.authorBaras, John S.en_US
dc.contributor.authorBerenstein, Carlos A.en_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:47:52Z
dc.date.available2007-05-23T09:47:52Z
dc.date.issued1991en_US
dc.description.abstractWe consider the problem of binary hypothesis testing for planar Boolean random sets with radial convex primary grains. We show that this problem is equivalent to the problem of binary hypothesis testing for Poisson points on a subset of R cube . The log-likelihood ratio for Poisson points can therefore be applied to observation points on this subset of R cube. Several interesting results pertaining to the asymptotic performance of the log-likelihood ratio for Poisson points are known. A major difficulty with this approach is that the test is based on observation points on a subset of R cube, and is not directly given in terms of the observation of a realization of a Boolean random set. An efficient means of mapping realizations of planar Boolean random sets to corresponding realizations of Poisson point processes on this subset of R cube is needed in order to implement the test. We show that this can be achieved via a class of morphological transformations known as morphological skeleton transforms. These transforms are flexible shape-size analysis tools based on elementary morphological and set-theoretic operations. This is the principal contribution of this paper.en_US
dc.format.extent352410 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/5088
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1991-40en_US
dc.subjectdetectionen_US
dc.subjectestimationen_US
dc.subjectimage processingen_US
dc.subjectsignal processingen_US
dc.subjectSystems Integrationen_US
dc.titleBayesian Hypothesis Testing for Boolean Random Sets with Radial Convex Primary Grains Using Morphological Skeleton Transformsen_US
dc.typeTechnical Reporten_US

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