  One of the most important issues in the image processing is the approximation
of the image that has been lost due to the blurring process. These types of
matters are divided into non-blind and blind problems. The second type of
problem is more complex in terms of calculations than the first problems due to
the unknown of original image and point spread function estimation. In the
present paper, an algorithm based on coarse-to-fine iterative by $l_0-\alpha
l_1$ regularization and framelet transform is introduced to approximate the
spread function estimation. Framelet transfer improves the restored kernel due
to the decomposition of the kernel to different frequencies. Also in the
proposed model fraction gradient operator is used instead of ordinary gradient
operator. The proposed method is investigated on different kinds of images such
as text, face, natural. The output of the proposed method reflects the
effectiveness of the proposed algorithm in restoring the images from blind
problems.
