Interactive Mesh Deformation Method Using Translating, Rotating and Scaling Manipulation Handles

Abstract

In surface-based interactive mesh deformation, most methods deform 3D mesh models by preserving their mean curvature. However, it is not easy to implicitly rotate normals on mesh models. We propose a new deformation framework for translating, rotating and scaling 3D models in an interactive manner. In our method, normal vectors on a 3D model are interactively rotated by interpolating the quaternion logarithms of rotations. This method allows interactive rotations and produces good results. In addition, we introduce a rigidity-constraint that preserves the relative positions of vertices. This type of constraint is useful for preserving important features on a 3D model. We also demonstrate that our framework can be applied to the scaling, smoothing and enhancement of geometric features on a 3D model.