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Adaptive Nonlinear Image Restoration By A Modified Kalman Filtering Approach, Sarah A. Rajala

Sarah A. Rajala

An adaptive nonlinear Kalman-type filter is presented in this dissertation for the restoration of two-dimensional images degraded by general image formation system degradations and additive white noise. A vector difference evaluation model is used to model the degradation process. The object plane distribution function is partitioned into disjoint regions based on the amount of spatial activity in the image, and difference evaluation models are used to characterize the object plane distribution function.

It is shown that each of the regions can be uniquely characterized by their second order statistics. The autocorrelation function for each region is then used to determine …