We propose to minimize the following set of functionals
[7] :
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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.