Consistent parametrization by quinary subdivision for remeshing and mesh metamorphosis

The vertex correspondence establishment among multiple objects is a versatile operation in computer graphics and geometry processing. We propose a systematic method called recursive quinary subdivision to efficiently find a dissection for a meshed object of genus-zero with little user input. The process can be easily extended to multiple objects, taking into account the alignment of extra feature points for applications such as mesh metamorphosis, to derive a common dissection. Based on the dissection and the parameterization associated with each resulting patch, uniform or adaptive remeshing can be performed to yield a set of semi-regular meshes. Moveover, geometric details can be easily resampled and stored as normal maps. We demonstrate the mesh metamorphosis application between two or more objects based on the vertex correspondence established by the common dissection and parameterization.