Multivariate Self-Dual Morphological Operators Based on Extremum Constraint

Algorithm 1

MEEEC (multivariate extremum estimation based on extremum constraint) aims to improve multivariate morphological filters (as an example, the infimum based on extremum constraint is proposed).

Input: Let be a -dimension vector set. denotes

a -dimension vector, , ;

Output: is the infimum of ;

(1) Sort in ascending order the vectors of with respect to the ;

;

(2) Extremum constraint

If

    If

     ; go to step (3);

    else

     , back to the step (2);

    end

Else

 Go to step (3);

end

    (3)