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

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Date
2007
Dewey
Intelligence artificielle
Sujet
Finite element method; Image Registration
DOI
http://dx.doi.org/10.1109/ICCV.2007.4409078
Conference name
ICCV 2007
Conference date
09-2007
Conference city
Rio de Janeiro
Conference country
Brésil
Book title
Computer Vision, 2007. ICCV 2007. IEEE 11th International Conference on
Publisher
IEEE Computer Society
Year
2007
ISBN
E-ISBN : 978-1-4244-1631-8 Print ISBN: 978-1-4244-1631-8
URI
https://basepub.dauphine.fr/handle/123456789/9352
Collections
  • CEREMADE : Publications
Metadata
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Author
Makram-Ebeid, Sherif
Somphone, Oudom
Type
Communication / Conférence
Item number of pages
1-8
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.

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