Non-Rigid Image Registration using a Hierarchical Partition of Unity Finite Element Method
Makram-Ebeid, Sherif; Somphone, Oudom (2007), Non-Rigid Image Registration using a Hierarchical Partition of Unity Finite Element Method, Computer Vision, 2007. ICCV 2007. IEEE 11th International Conference on, IEEE Computer Society, p. 1-8. http://dx.doi.org/10.1109/ICCV.2007.4409078
TypeCommunication / Conférence
Conference titleICCV 2007
Conference cityRio de Janeiro
Book titleComputer Vision, 2007. ICCV 2007. IEEE 11th International Conference on
MetadataShow full item record
Abstract (EN)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.
Subjects / KeywordsFinite element method; Image Registration
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