Algorithm 1.

FISTA with constant step size

Input: Parameters β ≥ 0,λ > 0 and initial image ${\overrightarrow{x}}_0$.
1:	${\overrightarrow{y}}_1={\overrightarrow{x}}_0,t_1=1$
2:	for k = 1,2,… do
3:	${\overrightarrow{x}}_k={\left({\overrightarrow{y}}_k-\lambda \left(A^T{W}^{-1}\left(A{\overrightarrow{y}}_k-\overrightarrow{p}\right)+\beta \left(\nabla g\left({\overrightarrow{y}}_k\right)\right)\right)\right)}_{+}$
4:	$t_{k+1}=\left(1+\sqrt{1+4t_k^2}\right)/2$
5:	${\overrightarrow{y}}_{k+1}={\overrightarrow{x}}_k+\left(\frac{t_k-1}{t_{k+1}}\right)\left({\overrightarrow{x}}_k-{\overrightarrow{x}}_{k-1}\right)$
6:	end for