Progressive spherical parameterization based on composite stretch metric

Parameterization of 3D mesh is important for many graphics applications, such as texture mapping, geometry compression and morphing. For closed two-manifold genus-0 meshes, the sphere is the most natural parameterization domain. No-foldover and low-distortion are two basic challenges for spherical procedure. In this paper, we present a new stretch metric (SCSM, spherical-domain composite stretch metric) to solve the spherical parameterization problem. In order to further reduce the area distortion of parameterized triangles, we introduce the concept of global area into SCSM. The experimental results show that our method can parameterize the spatial genus-0 meshes onto the unit sphere fast than traditional methods but with less distortion.