Open AccessUniform density estimates for Blake & Zisserman functional
Author(s) -
Michele Carriero,
Antonio Leaci,
Franco Tomarelli
Publication year - 2011
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2011.31.1129
Subject(s) - classification of discontinuities , boundary (topology) , dirichlet distribution , domain (mathematical analysis) , mathematical analysis , mathematics , order (exchange) , boundary value problem , dirichlet boundary condition , economics , finance
We prove density estimates and elimination properties for minimizing triplets of functionals which are related to contour detection in image segmentation and depend on free discontinuities, free gradient discontinuities and second order derivatives. All the estimates concern optimal segmentation\udunder Dirichlet boundary conditions and are uniform in the image domain up to the boundary