A surface deformation method based on stiffness control

Abstract

Surface deformation operations commonly require the local details to be preserved as much as possible. In recent years, the As-Rigid-As-Possible(ARAP) shape deformation has gained popularity. Existing ARAP deformation methods define a local cell at each vertex as its 1-ring neighborhoods, and keep the deformation in each local cell as rigid as possible. Since the local cells of adjacent vertices share a single edge, the consistency between adjacent local rigid transformations maintains relative weak. In this paper, we define a new face-based local cell, which expands the overlapping areas between adjacent local cells, thereby enhancing the consistency of adjacent local rigid transformations. Based on this, we further present a stiffness control surface deformation method. The size of the proposed local cell controls global stiffness of the shape. For each local cell, a local stiffness parameter can be specified by the user or can be learned from a set of deforming models automatically to control the local deformation. Through adjusting the size of the local cell and local stiffness parameter, we can generate physically plausible, material-aware deformation results. Based on this local cell, we further propose a shape interpolation method, which has better performance and extrapolation capabilities. Experimental results demonstrate the effectiveness of our method.

Keywords

• local cell
• rigidity
• material aware deformation
• shape interpolation