Image Restoration Based on Adaptive Dual-Domain Filtering

Algorithm 1

The Basic Steps of Dual-Domain Filtering (DDF).

Step 1. Noise estimation in the spatial domain:

,

where , is the center pixel value of the filter window . and is the bilateral kernel.

Step 2. Noise estimation in the frequency domain:

,

where is the frequency kernel and is the radius of . is the Fourier coefficients

Step 3. Image denoising: initialize guide image with the noisy input , and perform the guided iteration

,

where counts down from to 1.