Volumetric Surface Deformation with Auxiliary Voxel Grids

We propose two space deformation methods based on voxels. Our methods, approximately preserving the volume of a mesh object, are simple to implement and have a high performance due to resorting to voxelization. Volumetric deformations are achieved by either dual quaternion skinning or a nonlinear rigidity energy. The mesh surface embedded within the voxel grid is updated by means of interpolation. Three interpolation methods are implemented, targeting speed and smoothness, respectively. Both visual and quantitative evaluations on a variety of large polygon meshes are provided, demonstrating the effectiveness of the methods.