Misclassification pixels Correction based Greedy Algorithm

I have pseudo code to correction misclassification pixel based-Greedy algorithm from Benaichouche et al. research. I tried to apply it in matlab code but it is very difficult. Anyone can help?

Pseudo Code

Step 1: Extraction of potentially misclassified pixels 〖(x〗_l)

1. l←1
2. for all pixels x_i of the image do
3. if("label"(x_i)≠"label"(x_j∈N_ns))then
4. x_l←x_i
5. for all clusters m in N_rl neighborhood of the pixel x_l do
6. Calculate the local variance σ_m^((l) )
7. Calculate the local mean μ_m^((l)
8. end for
9. l←l+1
10. end if
11. end for
12. returnx_l,σ_m^((l) ) and μ_m^((l) )

Step 2: Reclassification of the extracted pixels

1. for all pixels x_i of the image do
2. for all clusters m in N_rl neighborhood of the pixel x_ldo
3. Calculate the objective function J_i using eq. (26)
4. Find j=argmin (J_i)
5. Assign the pixel x_i to the cluster j
6. end for
7. end for

Thanks