A trust region optimization method for fast 3D spherical configuration in morphing processes

Abstract

This paper addressed the problem of Spherical Mesh parameterization. The main contribution of this work was to propose an effective optimization scheme to compute such parameterization, and to have an algorithm exposing a property of global convergence This is the case of trust region spherical parameterization (TRSP) to minimizing the ratio of inverted triangle, have an efficient spherical parameterization, and to generate bijective and lowly distorted mapping results so the faces have the correct orientation, thus creating a 3d spherical geometry object. Simulation results show that it is possible to achieve a considerable correspondence between the angle and area perspective distortion.