One of main issues in point matching is the choice of the mapping function and the computation of its optimal hyperparameters. In this paper, we propose an attractive approach to determine the mapping function based on Gaussian processes (GPs) model. The mapping function is assumed to belong to a GPs model specified by a mean and a covariance function. Meanwhile, hyperparameters optimization of...

In this article we prove a theorem on the size of the image of sections of a convex function under its normal mapping when the sections satisfy a geometric property. We apply this result to get new geometric characterizations for Monge–Ampère doubling measures.  2002 Elsevier Science (USA). All rights reserved.