Algorithm.

MACMIreg

Input: Z={Z1,…,Zn},n≥1.
Output:ε.
Auxiliary Data Structures: Index k,j,α; Image ensemble ε0.
begin
0. forj=1 to ndo
1.  k=|Zj|;
2. ifk>1 then
3.  Obtain ensemble ε0=MACMIreg(Zj);
4.   Update Zj⇐ε0;
5.  endif;
6. endfor;
7. Initialize ε as an empty ensemble;
8. ε←[Z1,…,Zk],k=∥Z1∥;
9. α=k+1;
10. forj=2 to ndo
11.   k=∥Zj∥;
12.   ε0=[Zα,…,Zα+k];
13.  Obtain $\mathbf{T}={\text{argmax}}_{\mathbf{T}}\left[I_2^{*}\left(\mathbf{\epsilon },\mathbf{T}\left({\mathbf{\epsilon }}_0\right)\right)\right]$;
14.  Obtain ${\tilde{\mathbf{\epsilon }}}_0=\mathbf{T}\left({\mathbf{\epsilon }}_0\right)=\left[{\tilde{\mathcal{Z}}}_{\alpha },\dots ,{\tilde{\mathcal{Z}}}_{\alpha +k}\right]$;
15.  $\mathbf{\epsilon }\leftarrow {\tilde{\mathbf{\epsilon }}}_0$;
16.   α=α+k+1;
17. endfor;
end