A new approach of progressive spherical parameterization

Parameterization of 3D mesh plays an important role in computer graphics application society, such as geometry compression, texture mapping, morphing and so on. As far as closed two-manifold genus-0 meshes are concerned, natural choice of parameterization domain is sphere, and the basic challenges are no-foldover and low-distortion respectively. To solve the spherical parameterization problem, we present spherical-domain hybrid stretch metric (SHSM). The concept of global area is introduced into SHSM to further reduce the area distortion of parameterized triangles. We demonstrate the ability of our method to both parameterize fast and avoid high distortion, realizing parameterization from the spatial genus-0 meshes onto the unit sphere.