Now showing items 1-4 of 4
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 ...
Fast Nearest Neighbor Search in Medical Image Databases
We examine the problem of finding similar tumor shapes. Starting from a natural similarity function (the so-called ax morphological distance'), we showed how to lower-bound it and how to search for nearest neighbors in ...
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 ...