A weighted space restoration algorithm using the aperiodic model of deconvolution

Abstract

The aperiodic matrix deconvolution model has been shown to have a better condition number than the popularly used circulant matrix model. In this paper, we illustrate that the restoration algorithms in a weighted space using the block circulant matrices can be modified into the aperiodic model based algorithms and we have more possibilities to reduce the computational cost for the modified algorithms. Examples are used to show the modified algorithm. We address that more interesting is the use of the model to develop some new algorithms, for example, for the unknown blur case.<>