A Step Towards Efficient Bayesian Signal Reconstruction
This paper presents a theoretical basis for a set of optimal filters for the reconstruction of piecewise-continuous one-dimensional signals, drawing from Bayesian networks and Kaiman filters. Results are presented for synthetic and real data, using both the optimal filters and a sub-optimal implementation. The results compare well with linear space invariant filtering or facet fitting approaches, and present a basis for the design of image restoration algorithms.
KeywordsMean Square Error Kalman Filter Point Spread Function Optimal Filter Bayesian Theory
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