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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 ...

#### 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 ...

#### Identification of Infinite Dimensional Systems Via Adaptive Wavelet Neural Networks

(1993)

We consider identification of distributed systems via adaptive wavelet neural networks (AWNNs). We take advantage of the multiresolution property of wavelet systems and the computational structure of neural networks to ...

#### Comparison of Run-to-Run Control Methods in Semiconductor Manufacturing Processes

(2000)

Run-to Run (RtR) control plays an important role in semiconductor manufacturing.<p>In this paper, RtR control methods are generalized. The set-valued RtR controllers with ellipsoidapproximation are compared with other RtR ...

#### 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 ...

#### 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 ...

#### 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 ...

#### Accurate Segmentation and Estimation of Parametric Motion Fields for Object-based Video Coding using Mean Field Theory

(1997)

We formulate the problem of decomposing a scene into its constituent objects as one of partitioning the current frame into objects comprising it. The motion parameter is modeled as a nonrandom but unknown quantity and the ...