Systems and Methods for 3D Registration of Curves and Surfaces Using Local Differential Information

Systems and methods are provided for accomplishing fast and accurate 3D registration of curves and surfaces using local differential information, i.e., normals and tangents. In an embodiment, a method solves the curve-vs-surface alignment problem either by using a purely online search scheme, or by taking advantage of the availability of a pre-operative model, which often happens in medical procedures, to further speed-up the computational search by performing offline processing of the pre-operative bone model. The disclosed method is also extended to solve the curve-vs-curve and surface-vs-surface alignment problems, which also have important applications in medical procedures such as arthroscopy and arthroplasty.