Non-Rigid Image Registration Using a Hierarchical Partition of Unity Finite Element Method
Abstract
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.
Cite
Text
Makram-Ebeid and Somphone. "Non-Rigid Image Registration Using a Hierarchical Partition of Unity Finite Element Method." IEEE/CVF International Conference on Computer Vision, 2007. doi:10.1109/ICCV.2007.4409078Markdown
[Makram-Ebeid and Somphone. "Non-Rigid Image Registration Using a Hierarchical Partition of Unity Finite Element Method." IEEE/CVF International Conference on Computer Vision, 2007.](https://mlanthology.org/iccv/2007/makramebeid2007iccv-non/) doi:10.1109/ICCV.2007.4409078BibTeX
@inproceedings{makramebeid2007iccv-non,
title = {{Non-Rigid Image Registration Using a Hierarchical Partition of Unity Finite Element Method}},
author = {Makram-Ebeid, Shérif and Somphone, Oudom},
booktitle = {IEEE/CVF International Conference on Computer Vision},
year = {2007},
pages = {1-8},
doi = {10.1109/ICCV.2007.4409078},
url = {https://mlanthology.org/iccv/2007/makramebeid2007iccv-non/}
}