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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 ...

#### 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 ...

#### Existence and Construction of Optimal Wavelet Basis for Signal Representation

(1994)

We study the problem of choosing the optimal wavelet basis with compact support for signal representation and provide a general algorithm for computing the optimal wavelet basis. We first briefly review the multiresolution ...

#### Scalable Coding of Video Objects

(1998)

This paper provides a methodology to encode video objects in a scalable manner with regard to both content and quality. Content scalability and quality scalability have been identified as required features in order to ...

#### Time-Recursive Computation and Real-Time Parallel Architectures, Part I: Framework

(1993)

The time-recursive computation has been proved as a particularly useful tool in real-time data compression, in transform domain adaptive filtering and in spectrum analysis. Unlike the FFT based ones, the time-recursive ...

#### 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 ...

#### A Practical Transmission System Based on the Human Visual Model for Satellite Channels

(1999)

This paper presents a practical architecture for joint source-channel coding of human visual model-based video transmission over a satellite channel. Perceptual distortion model just-noticeable-distortion (JND) is applied ...

#### 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 ...