Nearly rigid deformation by linear optimization

Fast near-rigid 3D deformation of a shape is achieved by approximating a rigid transformation of each point by a moving least-squares (MLS) optimization with a linear closed-form solution. We can deform tens of thousands points in real time while preserving the rigidity of the original shape as far as possible. This technique inherits the properties of earlier MLS-based deformation techniques, such as independence of geometric representation and smoothness. The user can control the deformations by using control points or line segments and by the adjustment of weight functions.