Spherical Parameterization of Triangular Meshes and Its Application

Parameterization of triangular meshes is an essential problem of Digital Geometry Processing,especially for texture mapping,remeshing and morphing.In this paper,based on the analysis of the difference between spherical and planar(me-)(thods,)we formulate a set of necessary and sufficient conditions on the spherical angles of the spherical triangles for them to form a spherical parameterization.We get the results with target properties by using the L-M algorithm to solve a non-linear optimization.Applications of the method is introduced,at last some experimental results demonstrate the availability of the method.