Non-Rigid Image Registration using a Hierarchical Partition of Unity Finite Element Method

We use a Hierarchical Partition of Unity Finite Element Method (H-PUFEM) to represent and analyse the non-rigid deformation fields involved in multidimensional image registration. We make use of the Ritz-Galerkin direct variational method to solve non-rigid image registration problems with various deformation constraints. In this method, we directly seek a set of parameters that minimizes the objective function. We thereby avoid the loss of information that may occur when an Euler-Lagrange formulation is used. Experiments are conducted to demonstrate the advantages of our approach when registering synthetic images having little of or no localizing features. As a special case, conformal mapping problems can be accurately solved in this manner. We also illustrate our approach with an application to Cardiac Magnetic Resonance temporal sequences.

• Type: Conference
• Year: 2007
• Where: ICCV
• Authors: Shérif Makram-Ebeid, Oudom Somphone
• Keywords: Computer Vision, Finite Element Method, ICCV 2007, Image Registration, Non-rigid Image Registration