Now showing items 1-5 of 5
Structure of Divisible Discrete Random Sets and Their Randomized Superpositions
In 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 ...
On Image Deconvolution Using Multiple Sensors
We consider the two dimensional Analytic Bezout Equation (ABE) and investigate the properties of a particular solution, based on-certain conditions imposed on the convolution kernels. The results permit the reconstruction ...
Exact, Recursive, Inference of Event Space Probability Law for Discrete Random Sets with Applications
In this paper we extend Choquet's result to obtain a recursive procedure for the computation of the underlying event-space probability law for Discrete Random Sets, based on Choquet's capacity functional. This is an important ...
Bayesian Hypothesis Testing for Boolean Random Sets with Radial Convex Primary Grains Using Morphological Skeleton Transforms
We 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 ...
Optimal Filtering of Digital Binary Images Corrupted by Union/Intersection
We model digital binary image data as realizations of a bounded discrete random set, a mathematical object which can be directly defined on a finite lattice. We consider the problem of estimating realizations of discrete ...