Computation of spherical parametrizations using Floater's method

The parametrization of surface triangulations can always be obtained by using the Floater's method. The Floater's method is based on the graph theory which is studied for generating parametrizations for surface triangulations. The goal of this thesis is to generalize such parametrization to a sphere and a hyperboloid by using Floater's method. This work is organized as follows. We begin by introducing the fundamentals of the graph theory and preliminaries. Then, we algebraically formulated the prob- lem and the characterization of spherical barycentric parametrization of triangular meshes. Furthermore, we demonstrated our algebraic formulation with some ex- amples. Finally, we extended our spherical barycentric parametrization into the hyperbolic barycentric parametrization.