Progressive Finite Newton Approach To Real-time Nonrigid Surface Detection

Detecting nonrigid surfaces is an interesting research problem for computer vision and image analysis. One important challenge of nonrigid surface detection is how to register a nonrigid surface mesh having a large number of free deformation parameters. This is particularly significant for detecting nonrigid surfaces from noisy observations. Nonrigid surface detection is usually regarded as a robust parameter estimation problem, which is typically solved iteratively from a good initialization in order to avoid local minima. In this paper, we propose a novel progressive finite Newton optimization scheme for the non-rigid surface detection problem, which is reduced to only solving a set of linear equations. The key of our approach is to formulate the nonrigid surface detection as an unconstrained quadratic optimization problem which has a closed-form solution for a given set of observations. Moreover, we employ a progressive active-set selection scheme, which takes advantage of the rank information of detected correspondences. We have conducted extensive experiments for performance evaluation on various environments, whose promising results show that the proposed algorithm is more efficient and effective than the existing iterative methods.