Abstract: In this work, a special case of the image superresolution
problem where the only type of motion is global
translational motion and the blurs are shift-invariant is investigated.
The necessary conditions for exact reconstruction of the original
image by using finite impulse-response reconstruction filters are
developed. Given that the conditions are satisfied, a method for exact
super-resolution is presented and some simulation results are shown.
Abstract: From a set of shifted, blurred, and decimated image , super-resolution image reconstruction can get a high-resolution image. So it has become an active research branch in the field of image restoration. In general, super-resolution image restoration is an ill-posed problem. Prior knowledge about the image can be combined to make the problem well-posed, which contributes to some regularization methods. In the regularization methods at present, however, regularization parameter was selected by experience in some cases and other techniques have too heavy computation cost for computing the parameter. In this paper, we construct a new super-resolution algorithm by transforming the solving of the System stem Є=An into the solving of the equations X+A*X-1A=I , and propose an inverse iterative method.