Euler Equations for Blake & Zisserman Functional

23 / 12 / 2008 Candidate Local Minimizer of Blake & Zisserman Functional

We show an Almansi-type decomposition and explicit coefficients of asymptotic expansion for bi-harmonic functions in a disk with a cut from center to boundary. We deduce the stress intensity factor and modes coefficients of the leading term in the expansion around crack-tip for any locally minimizing triplet of the main part of Blake & Zisserman functional in the strong formulation. We exhibit ...

Density Estimates and Further Properties of Blake & Zisserman Functional

We prove some properties of strong minimizers for functionals depending on free discontinuities, free gradient discontinuities and second derivatives, which are related to image segmentation.

Segmentation of Time Series: Parameter Dependence of Blake-Zisserman and Mumford-Shah Functionals and the Transition from Discrete to Continuous

The paper deals with variational approaches to the segmentation of time series into smooth pieces, but allowing for sharp breaks. In discrete time, the corresponding functionals are of Blake-Zisserman type. Their natural counterpart in continuous time are the Mumford-Shah functionals. Time series which minimise these functionals are proper estimates or representations of the signals behind reco...

A Dirichlet Problem with Free Gradient Discontinuity

We prove the existence of strong solution for Blake & Zisserman functional under Dirichlet boundary condition. The result is obtained by showing partial regularity of weak solutions up to the boundary through blow-up technique and a decay property for bi-harmonic functions in half disk.

Visual Reconstruction