Image Denoising via Gradient Minimization with Effective Fidelity Term

Algorithm 1

(1) Input: noisy image , parameter, , iteration number

(2) Initialization:  , , calculate .

(3) For  , do

    Step 1. Estimate and in (13) with

    Step 2. With and , solver for

      For each pixel location , do

      (i) Construct the weight matrix

      (ii) Calculate the regression coefficients with (19) and update the estimation with (20)

      End

    Update the parameter ,

  End

(4) Output: smoothed image .