Coupled PDEs for Non-Rigid Registration and Segmentation

Abstract

In this paper we present coupled partial differential equations (PDEs) for the problem of joint segmentation and registration. The registration component of the method estimates a deformation field between boundaries of two structures. The desired coupling comes from two PDEs that estimate a common surface through segmentation and its non-rigid registration with a target image. The solutions of these two PDEs both decrease the total energy of the surface, and therefore aid each other in finding a locally optimal solution. Our technique differs from recently popular joint segmentation and registration algorithms, all of which assume a rigid transformation among shapes. We present both the theory and results that demonstrate the effectiveness of the approach.

Cite

Text

Unal and Slabaugh. "Coupled PDEs for Non-Rigid Registration and Segmentation." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2005. doi:10.1109/CVPR.2005.115

Markdown

[Unal and Slabaugh. "Coupled PDEs for Non-Rigid Registration and Segmentation." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2005.](https://mlanthology.org/cvpr/2005/unal2005cvpr-coupled/) doi:10.1109/CVPR.2005.115

BibTeX

@inproceedings{unal2005cvpr-coupled,
  title     = {{Coupled PDEs for Non-Rigid Registration and Segmentation}},
  author    = {Unal, Gozde B. and Slabaugh, Gregory G.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2005},
  pages     = {168-175},
  doi       = {10.1109/CVPR.2005.115},
  url       = {https://mlanthology.org/cvpr/2005/unal2005cvpr-coupled/}
}