Consistent Mesh Parametrizations and Remeshing Consistent Mesh Parametrizations and Remeshing

The correspondences establishment for a set of models is a versatile algorithm in computer graphics and geometry processing, which in general counts on a lot of specification by users to build a common dissection with a set of feature points between the input models. We propose a novel method to compute the consistent parametrizations for multiple models with a little user-input. Our consistent mesh parametrization scheme exploits mean value coordinates and geometric-stretch metric to optimize the parametrization of each patch. Moreover, we use a coarse-to-fine parametrization strategy to improve both the speed and the result of parametrization. Besides, the alignment of feature correspondences during the parametrization is performed using a foldover-free warping algorithm. Uniform or adaptive remeshing can be performed to yield a set of semi-regular meshes. Moveover, geometry images can be generated easily with the parametrizations to store the geometric information in a simple grid structure that benefits a number of applications, including normal mapping, texture mapping, rendering, level-of-detail, compression, and morphing. We also demonstrate the mesh morphing application between two or more objects in both spatial and wavelet domain based on the correspondence established by the proposed consistent mesh parametrizations.