Optimal Mask Filtering of Discrete Random Sets under a Union/Intersection Noise Model

Optimal Mask Filtering of Discrete Random Sets under a Union/Intersection Noise Model

Title : Optimal Mask Filtering of Discrete Random Sets under a Union/Intersection Noise Model
Authors :
Berenstein, Carlos A
Sidiropoulos, N D
Baras, John, S.
Conference : Twenty-Sixth Annual Conference on Information Sciences and Systems Vol. I, pp. 313-318
Date: March 18 - March 19, 1992

We consider the problem of estimating realizations of highly nonstationary Discrete Random Sets, distorted by a degradation process which can be described by a union/intersection model. We start by presenting some important structural results concerning the probabilistic description of Discrete Random Sets defined on a finite lattice. Then we propose a family of filters which can be viewed as lattice operators, and, for each degradation model, derive the optimal filter by means of minimizing a suitable fidelity criterion.

Download Full Paper