Local and nonlocal guidance coupled surface deformation

This paper presents a novel 3D shape surface deformation method with local and nonlocal guidance. It is important to deform a mesh while preserving the global shape and local properties. Previous methods generally deform a surface according to the local geometric affinity, which leads to artifacts such as local and global shape distortion. Instead, our approach uses the locally linear embedding (LLE) to construct the nonlocal relationship for each vertex and its nonlocal neighbors in a geometric feature space, and uses a well known local neighborhood coherence to represent the local relationship. We then couple these two local and nonlocal guidance together to propagate the local deformation over the whole surface while maintaining these two relationships. The nonlocal guidance essentially preserves the global shape and the local guidance maintains the local properties, and these two guidance complements each other when propagating the deformation. Our method can be extended for mesh merging. Experimental results on various models demonstrate the effectiveness of our method.