Algorithm 1 Noise reduction algorithm

1: procedure Noise Reduction Algorithm

2:     $n\leftarrow \#\text{of}\text{pixels}$

3:     $\text{initialize}{\mu }_S\text{and}{\sigma }_S$

4:     $\text{initialize}SSoID(\text{Sum}\text{of}\text{square}\text{of}\text{intensity}\text{difference})$

5:     $\text{defind}\text{the}\text{neighboring}\text{area}{d}_x,d_y$

6:     for each i ∈ $\#\text{pixel}\text{of}\text{the}\text{vertical}\text{direction}$ do

7:         for each j ∈ $\#\text{pixel}\text{of}\text{the}\text{horizontal}\text{direction}$ do

8:            for each $\text{pixel}\text{in}\text{the}\text{neighboring}\text{area}$ do

9:                ${\mu }_S\leftarrow {\mu }_S+\frac{c[i,j]-c[i+d_x,j+d_y]}{n}$

10:                $SSoID\leftarrow \frac{1}{n}{\left(c[i,j]-c[i+d_x,j+d_y]\right)}^2$

11:                ${\sigma }_S={\mu }_s-SSoID$

12:                $\text{Find}{\lambda }_1\text{and}{\lambda }_2\text{from}{\mu }_s,{\sigma }_S$

13:            end for

14:         end for

15:     end for

16:     $\text{adjust}\text{the}\text{intensity}\text{of}\text{each}\text{pixel}$

17: end procedure