Consistent Mesh Parametrization Using Quinary Patch Subdivision

Abstract

The correspondence establishment among multiple objects is a versatile operation in computer graphics and geometry processing, which in general takes as input the specification of a common dissection together with a set of feature points. We propose a systematic method called recursive quinary subdivision to efficiently find a dissection for an object with little user input. The quinary subdivision is a process that recursively dissects an highly stretched patch into five new patches. The process can be extended to multiple objects, taking into account the alignment of extra feature points, to derive a common dissection. Based on the dissection, uniform or adaptive remeshig can be performed to yield a set of semi-regular meshes. Moveover, geometric details can be easily resampled and stored as normal maps. We also demonstrate the mesh morphing application between two or more objects based on the correspondence established by the common dissection and parameterization.