Codice QDD 51 Titolo Variational approach to image segmentation Data 2009-09-23 Autore/i Carriero, M.; Leaci A.; Tomarelli F. Link Download full text Pubblicato Pure Mathematics and Applications Abstract This paper focuses on a second order functional depending on free discontinuity and free gradient-discontinuity, whose minimizers provide a variational solution to contour detection problem in image segmentation. We briefly resume the state of the art about Blake & Zisserman functional under different types of boundary condition which are related to contour enhancement in image segmentation. We prove a new Caccioppoli inequality suitable to study regularity of minimizers of related boundary value problems in any dimension $n ge 1$ and deduce that there are no nontrivial local minimizers in half-space.