Chen K, Harding SP, Williams BM, Zheng Y. A new study of blind deconvolution with implicit incorporation of nonnegativity constraints. International Journal of Computational Mathematics. 2015 Feb 15;2015.
https://downloads.hindawi.com/archive/2015/860263.pdf
Abstract
The inverse problem of image restoration to remove noise and blur in an observed image was extensively studied in the last
two decades. For the case of a known blurring kernel (or a known blurring type such as out of focus or Gaussian blur), many
effective models and efficient solvers exist. However when the underlying blur is unknown, there have been fewer developments for
modelling the so-called blind deblurring since the early works of You and Kaveh (1996) and Chan and Wong (1998). A major
challenge is how to impose the extra constraints to ensure quality of restoration. This paper proposes a new transform based
method to impose the positivity constraints automatically and then two numerical solution algorithms. Test results demonstrate
the effectiveness and robustness of the proposed method in restoring blurred images.
