We study extensions of Merriman, Bence, and Osher’s threshold dynamics scheme to weighted mean curvature flow, which arises as gradient descent for anisotropic (normal dependent) surface energies. In particular, we investigate, in both two and three dimensions, those anisotropies for which the convolution kernel in the scheme can be chosen to be positive and / or to possess a positive Fourier t...

In this work, we study the spectra and eigenmodes of the Hessian of various discrete surface energies and discuss applications to shape analysis. In particular, we consider a physical model that describes the vibration modes and frequencies of a surface through the eigenfunctions and eigenvalues of the Hessian of a deformation energy, and we derive a closed form representation for the Hessian (...

Energies of curves and surfaces together with their discrete variants play a prominent role as fairness functionals in geometric modeling and computer aided geometric design. This paper deals with a particular discrete surface energy which is expressible in terms of curve energies, and which occurs naturally in the problem of smoothing digital elevation data with tolerance zone constraints. We ...

in this work, we had examined 7 different types of neutron sources -an isotropic point source, sending 14.1(mev) monoenergetic neutrons ,an spherical source with 30 micron radius sending 14.1 (mev) monoenergetic neutrons, and a 30 micron radius spherical source having gaussian fusion energy spectrum from a d-t fusion, with different bandwidths -1,10,50,100 and 1000 kev and investigated 5 differ...

Nonconvex interactions in lattice systems lead to a number of interesting phenomena that can be translated into a variety of energies within their limit continuum description as the lattice size tends to zero. These effects may be due to different superposed causes. When only nearest-neighbour interactions are taken into account, a scaling effect for nonconvex energy densities with non-faster-t...

Accurate estimation technique that accommodates few data points is useful and desired in tackling the difficulties in experimental determination of surface energies of materials. We hereby propose a computational intelligence technique on the platform of support vector regression (SVR) using test-set-crossvalidation method to develop surface energies estimator (SEE) that is capable of estimatin...

the b3lyp/6-31++g** density functional calculations were used to obtain minimum geometries and interaction energies between the molecular hydrogen and nanostructures of fullerenes, c20 (cage), c20 (bowl), c19si (bowl, penta), c19si (bowl, hexa). the h2 molecule is set as adsorbed in the distance of 3å at vertical position from surface above the pentagonal and hexagonal sites of nanostructures. ...