We perform a rigorous analysis of the multiphase version of the Mumford--Shah functional. A characteristic property of the formulation is the presence of a true partition of the image (so in two dimensions of closed contours), each cell of the partition possibly containing inner jumps. The nontrivial partitioning naturally occurs as a consequence of the presence in the energy functional of statistical terms or of phase dependent weights. In particular, we prove a multiphase version of the De Giorgi--Carriero--Leaci result.
The multiphase mumford-shah problem
Giacomini A.
2019-01-01
Abstract
We perform a rigorous analysis of the multiphase version of the Mumford--Shah functional. A characteristic property of the formulation is the presence of a true partition of the image (so in two dimensions of closed contours), each cell of the partition possibly containing inner jumps. The nontrivial partitioning naturally occurs as a consequence of the presence in the energy functional of statistical terms or of phase dependent weights. In particular, we prove a multiphase version of the De Giorgi--Carriero--Leaci result.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
