A PDE Approach for Thickness, Correspondence, and Gridding of Annular Tissues
Abstract
A novel approach for computing point correspondences and grids within annular tissues is presented based on a recently introduced technique for computing thickness in such regions. The solution of Laplace’s equation provides implicit correspondence trajectories between the bounding surfaces. Pairs of partial differential equations are then efficiently solved within an Eulerian framework for thickness, from which concentric surfaces can be constructed. Point correspondences are then computed between the outer surfaces and any surface within, providing a gridding of the annular tissue. Examples are shown for two-dimensional short-axis images of the left ventricle and three-dimensional images of the cortex.
Cite
Text
Yezzi and Prince. "A PDE Approach for Thickness, Correspondence, and Gridding of Annular Tissues." European Conference on Computer Vision, 2002. doi:10.1007/3-540-47979-1_39Markdown
[Yezzi and Prince. "A PDE Approach for Thickness, Correspondence, and Gridding of Annular Tissues." European Conference on Computer Vision, 2002.](https://mlanthology.org/eccv/2002/yezzi2002eccv-pde/) doi:10.1007/3-540-47979-1_39BibTeX
@inproceedings{yezzi2002eccv-pde,
title = {{A PDE Approach for Thickness, Correspondence, and Gridding of Annular Tissues}},
author = {Yezzi, Anthony J. and Prince, Jerry L.},
booktitle = {European Conference on Computer Vision},
year = {2002},
pages = {575-589},
doi = {10.1007/3-540-47979-1_39},
url = {https://mlanthology.org/eccv/2002/yezzi2002eccv-pde/}
}