Algorithm 1 Direction estimation.

1:Use the Sobel operator to obtain the image $\mathbf{e}$ of the edges of the noisy and blurry image $\mathbf{b}$. 2:Apply a disk mask to cut out some diagonal edges in $\mathbf{e}$, obtaining a new edge image $\tilde{\mathbf{e}}$ (Figure 1b). 3:Compute the Hough transform $h\left(\tilde{\mathbf{e}}\right)$ (Figure 1c). 4:Set ${\eta }_{max}$ as the value of $\eta$ corresponding to the column of $h\left(\tilde{\mathbf{e}}\right)$ with maximum 2-norm. (Figure 1d) 5:Set $\theta =\{\begin{array}{cc}\frac{90-{\eta }_{max}}{180}\pi ,& {\eta }_{max}\ge 0,\\ \frac{-90-{\eta }_{max}}{180}\pi ,\hfill & {\eta }_{max}<0.\hfill \end{array}$ (yellow line in Figure 1a)