On the local properties of digital curves

This method of computation of the numerical uxes at the boundary of the domain is classical and ensures the convergence of the nite volume scheme to the entropy solution of the

In this section, we use the equations of Lemma 2.2 and the mechanism of geometric constraint in order to refine estimate (27) and find an equivalent of g a in L 2 ρ , continuous

We continue with algorithms to compute the matrix factorials that arise in Lemma 3.3 (§4.2) and with a numeri- cally stable algorithm to compute the characteristic polyno- mial of

We study completeness properties of Sobolev metrics on the space of immersed curves and on the shape space of unparametrized curves.. These results then imply that the shape space

We think of scalar curvature as a Riemannin incarnation of mean cur- vature (1) and we search for constraints on global geometric invariants of n-spaces X with Sc(X) > 0 that

Roughly speaking, his result says that at the first singular time of the mean curvature flow, the product of the mean curvature and the norm of the second fundamental form blows

It will be shown below that the Hamiltonian vector field X f obtained through the symplectic structure on the space of frame-periodic horizontal-Darboux curves leads to

The standard notion of a viscosity subsolution does not need modification to deal with prescribed curvature equations, but that of a supersolution needs.. to be