Deformable Models for 3-D Medical Images Using Finite Elements and Balloons

Abstract

A 3-D generalization of the balloon model as a 3-D deformable surface, which evolves in 3-D images, is presented. It is deformed under the action of internal and external forces attracting the surface toward detected edge elements by means of an attraction potential. To solve the minimization problem for a surface, two simplified approaches are shown, defining a 3-D surface as a series of 2-D planar curves. Then the 3-D model is solved using the finite-element method, yielding greater stability and faster convergence. This model has been used to segment magnetic resonance images.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Cite

Text

Cohen and Cohen. "Deformable Models for 3-D Medical Images Using Finite Elements and Balloons." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992. doi:10.1109/CVPR.1992.223130

Markdown

[Cohen and Cohen. "Deformable Models for 3-D Medical Images Using Finite Elements and Balloons." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992.](https://mlanthology.org/cvpr/1992/cohen1992cvpr-deformable/) doi:10.1109/CVPR.1992.223130

BibTeX

@inproceedings{cohen1992cvpr-deformable,
  title     = {{Deformable Models for 3-D Medical Images Using Finite Elements and Balloons}},
  author    = {Cohen, Laurent D. and Cohen, Isaac},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1992},
  pages     = {592-598},
  doi       = {10.1109/CVPR.1992.223130},
  url       = {https://mlanthology.org/cvpr/1992/cohen1992cvpr-deformable/}
}