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#### Exact, Recursive, Inference of Event Space Probability Law for Discrete Random Sets with Applications

(1991)

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 ...

#### A Computational Method for Hontroller Design in the Frequency Domain

(1994)

A new approach to frequency domain design of robust controllers for distributed parameter systems is presented. The central idea is to use techniques that were developed for the solution of the Corona Problem, for the ...

#### Optimal Filtering of Digital Binary Images Corrupted by Union/Intersection

(1992)

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 ...

#### Further Results on MAP Optimality and Strong Consistency of Certain Classes of Morphological Filters

(1994)

In two recent papers [1], [2], Sidiropoulos et al. have obtained statistical proofs of Maximum A Posteriori} (MAP) optimality and strong consistency of certain popular classes of Morphological filters, namely, Morphological ...

#### Structurally Robust Weak Continuity

(1995)

Building on earlier work, we pose the following optimization: Given a sequence of finite extent, find a finite-alphabet sequence of finite extent, which satisfies a hard structural (syntactic) constraint (e.g., it is ...

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

(1991)

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 ...

#### On Image Deconvolution Using Multiple Sensors

(1990)

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 ...

#### Structure of Divisible Discrete Random Sets and Their Randomized Superpositions

(1991)

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 ...