Non-parametric 3D Shape Warping

A method is presented for non-rigid alignment of a source shape to a target shape through estimating and interpolating point-wise correspondences between their surfaces given as point clouds. The resulting mapping can be non-smooth and non-isometric, relate shapes across large variations, and find partial matches. It does not require a parametric model or a prior of deformations. Results are shown for some objects from the Princeton Shape Benchmark and a range scan.