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 greater or equal to 1 and deduce that there are no nontrivial local minimizers in half-space.
Variational approach to image segmentation
CARRIERO, Michele;LEACI, Antonio;
2009-01-01
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 greater or equal to 1 and deduce that there are no nontrivial local minimizers in half-space.File in questo prodotto:
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