LINEAR AND NONLINEAR IMAGE-RESTORATION UNDER THE PRESENCE OF MIXED NOISE

In this paper, the restoration of images is considered, in the presence of mixed type of noise. An approach that exploits space varying objective functions is introduced, which results in locally varying filtering schemes for the restoration problem. The analysis is performed for both linear and nonlinear image-formation systems. The approach introduced results in a degradation of the detailed structure existing in the original image. The problem of simultaneous noise removal and edge preservation in image restoration is addressed. The ultimate objective is to invert the linear and the nonlinear transformations introduced by the image-formation system, and remove as much long as well as short-and/or medium-tailed noise, while simultaneously preserving the detailed structure of the image. The properties of the algorithms proposed are demonstrated through restoration examples.