JournalsaihpcVol. 8, No. 2pp. 175–195

On the existence of solutions to a problem in multidimensional segmentation

  • G. Congedo

    Dipartimento di Matematica, Università di Lecce, 73100 Lecce, Italy

  • I. Tamanini

    Dipartimento di Matematica, Università di Trento, 38050 Povo (TN), Italy
On the existence of solutions to a problem in multidimensional segmentation cover
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Abstract

We prove the existence of a minimizer for a multidimensional variational problem related to the Mumford-Shah approach to computer vision.

Résumé

On démontre l’existence d’un minimum pour un problème variationnel en dimension , voisin de celui que Mumford et Shah ont postulé à la base de la vision artificielle.

Cite this article

G. Congedo, I. Tamanini, On the existence of solutions to a problem in multidimensional segmentation. Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991), no. 2, pp. 175–195

DOI 10.1016/S0294-1449(16)30271-2