We propose to minimize the following set of functionals
[7] :
  |
the solution we are looking for
are the observed data
is a regularizing
function
to the space of label values.
Roughly speaking, the convergence on 
could be interpreted as :
when is high, only the regularization term is taken into
account. As decreases, the regularization vanishes while rising
the level constraint term, forcing the solution to
take a finite number of values (one of the M label values 
).
From a theoretical point of vue, is a Gamma-convergence [6] parameter introduced through the
mathematical study of Cahn-Hilliard mechanical
models.