Rigidity Constraints for Large Mesh Deformation

It is a challenging problem of surface-based deformation to avoid apparent volumetric distortions around largely deformed areas. In this paper, we propose a new rigidity constraint for gradient domain mesh deformation to address this problem. Intuitively the proposed constraint can be regarded as several small cubes defined by the mesh vertices through mean value coordinates. The user interactively specifies the cubes in the regions which are prone to volumetric distortions, and the rigidity constraints could make the mesh behave like a solid object during deformation. The experimental results demonstrate that our constraint is intuitive, easy to use and very effective. Electronic Supplementary Material The online version of this article (doi:) contains supplementary material, which is available to authorized users. This work is supported by the National Basic Research 973 Program of China under Grant Nos. 2002CB312101 and 2006CB303102, the National Natural Science Foundation of China under Grant No. 60603078, and the Program for New Century Excellent Talents in University of China under Grant No. NCET-06-0516.