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Communication Dans Un Congrès Année : 2007

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

Sherif Makram-Ebeid
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  • PersonId : 865252
Oudom Somphone
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  • PersonId : 865251

Résumé

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. ©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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Dates et versions

hal-00439374 , version 1 (07-12-2009)

Identifiants

Citer

Sherif Makram-Ebeid, Oudom Somphone. Non-Rigid Image Registration using a Hierarchical Partition of Unity Finite Element Method. IEEE 11th International Conference on Computer Vision, 2007. ICCV 2007., Oct 2007, Rio de Janeiro, Brazil. pp.1-8, ⟨10.1109/ICCV.2007.4409078⟩. ⟨hal-00439374⟩
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