Non-rigid Shape Registration using Curvature Information

This paper addresses a registration problem for an industrial control application: it meets the need to registrate a model on an image of a flexible object. We propose a non-rigid shape registration approach that deals with a great disparity of the number of points in the model and in the manufactured object. We have developed a method based on a classical minimization process combining a distance term and a regularization term. We observed that, even if the control points fall on the object boundary, the registration failed on high curvature points. In this paper we add a curvature-based term in order to improve the registration on object extremities. We validate our approach on a real industrial application. The addition of this curvature term reduces by two the error of the inner boundaries location on the previously problematic cases of our database.