Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Recursive Green's function registration
 Jiang, T.: Medical image computing and computerassisted intervention, MICCAI 2010. 13th international conference. Pt.2 : Beijing, China, September 2024, 2010; proceedings Berlin: Springer, 2010 (Lecture Notes in Computer Science 6362) ISBN: 3642157440 ISBN: 9783642157448 ISSN: 03029743 S.546553 
 International Conference on Medical Image Computing and ComputerAssisted Intervention (MICCAI) <13, 2010, Beijing> 

 Englisch 
 Konferenzbeitrag 
 Fraunhofer MEVIS () 
Abstract
Nonparametric image registration is still among the most challenging problems in both computer vision and medical imaging. Here, one tries to minimize a joint functional that is comprised of a similarity measure and a regularizer in order to obtain a reasonable displacement field that transforms one image to the other. A common way to solve this problem is to formulate a necessary condition for an optimizer, which in turn leads to a system of partial differential equations (PDEs). In general, the most time consuming part of the registration task is to find a numerical solution for such a system. In this paper, we present a generalized and efficient numerical scheme for solving such PDEs simply by applying 1dimensional recursive filtering to the right hand side of the system based on the Green's function of the differential operator that corresponds to the chosen regularizer. So in the end we come up with a general linear algorithm. We present the associated Green's fu nction for the diffusive and curvature regularizers and show how one may efficiently implement the whole process by using recursive filter approximation. Finally, we demonstrate the capability of the proposed method on realistic examples.