DEFORMOTION: Deforming Motion, Shape Average and the Joint Registration and Segmentation of Images
Abstract
What does it mean for a deforming object to be “moving” (see Fig.1)? How can we separate the overall motion (a finite-dimensional group action) from the more general deformation (a diffeomorphism)? In this paper we propose a definition of motion for a deforming object and introduce a notion of “shape average” as the entity that separates the motion from the deformation. Our definition allows us to derive novel and efficient algorithms to register non-equivalent shapes using region-based methods, and to simultaneously approximate and register structures in grey-scale images. We also extend the notion of shape average to that of a “moving average” in order to track moving and deforming objects through time.
Cite
Text
Soatto and Yezzi. "DEFORMOTION: Deforming Motion, Shape Average and the Joint Registration and Segmentation of Images." European Conference on Computer Vision, 2002. doi:10.1007/3-540-47977-5_3Markdown
[Soatto and Yezzi. "DEFORMOTION: Deforming Motion, Shape Average and the Joint Registration and Segmentation of Images." European Conference on Computer Vision, 2002.](https://mlanthology.org/eccv/2002/soatto2002eccv-deformotion/) doi:10.1007/3-540-47977-5_3BibTeX
@inproceedings{soatto2002eccv-deformotion,
title = {{DEFORMOTION: Deforming Motion, Shape Average and the Joint Registration and Segmentation of Images}},
author = {Soatto, Stefano and Yezzi, Anthony J.},
booktitle = {European Conference on Computer Vision},
year = {2002},
pages = {32-57},
doi = {10.1007/3-540-47977-5_3},
url = {https://mlanthology.org/eccv/2002/soatto2002eccv-deformotion/}
}