In this paper, we propose numerical methods for minimization problems constrained to S 1 and S 2. By our technique based on the angle formulation, standard numerical difficulties are easily overcome. Applications to computations of harmonic maps, denoising of directional data and of color images are presented, in two and three dimensions.
In this paper we propose a numerical method for computing minimal surfaces with fixed boundaries. The level set method is used to evolve a codimension-1 surface with fixed codimension-2 boundary in R n under mean curvature flow. The level set method applied to geometrically based motion, materials science, and image processing, UCLA CAM Report, 00-20] using… (More)