A STATE ESTIMATION METHOD FOR STOCHASTIC SYSTEMS BY USING A WIDE-SENSE DIGITAL FILTER WITH SMOOTHER IN A HIERARCHICAL FORM AND ITS APPLICATIONS TO THE RESTORATION OF DEGRADED MEDICAL X-RAY IMAGES

Abstract

In the field of medical X rays image, it is important how to seize a quantity of being affected by radioactivity to the human body. Then, when dropping affection by radioactivity dose, quantum noise increases on inevitability, and some counter-measure methods become central problem. In this paper, a new trial of wide-sense digital filter with a smoother for estimating and smoothing the non-Gaussian stochastic systems will be proposed in the hierarchical form of successively parameter differentiated types which takes Kalman filter as the first term of algorithm. Then, the effectiveness of proposed recursive algorithm will be experimentally confirmed through several applications to real medical X-ray images.