|Titolo||Variational approach to image segmentation|
|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.|