A Recursive Algorithm to Restore Images Based on Robust Estimation of NSHP Autoregressive Models

Ronny O Vallejos, Tomislav J Mardesic
2004 Journal of Computational And Graphical Statistics  
The objective of this paper is to present a new image restoration algorithm. First, the image is classified in k categories. Then we assume that the gray levels in each category follow a NSHP autoregressive model. Robust estimation of the parameters of the model is considered to attenuate the effect of the image contamination on the parameters. In each iteration we will construct a new image using a robustified version of the residuals. The introduction of the classification techniques as a
more » ... techniques as a first step of the algorithm reduces considerably the number of parameters to estimate. So, the computational time is also reduced since the robust estimations of the parameters are solutions of nonlinear system of equations. Some applications are presented to real synthetic aperture radar (SAR) images to illustrate how our algorithm restores an image in practice.
doi:10.1198/106186004x2183 fatcat:abjeavz4frgfdnncvzngucbfcy