A second order algorithm for orthogonal projection onto curves and surfaces

In this paper we analyze an algorithm which solves the point projection and the "inversion" problems for parametric curves and surfaces. It consists of a geometric second order iteration which converges faster than existing first order methods, and whose sensitivity to the choice of initial values is small. Applications include the ICP algorithm for shape registration.

• Type: Journal
• Year: 2005
• Where: CAGD
• Authors: Shi-Min Hu, Johannes Wallner
• Keywords: Algorithm, CAGD 2005, Order Iteration, Point Projection