Robust Topological Features for Deformation Invariant Image Matching
Abstract
Local photometric descriptors are a crucial low level component of numerous computer vision algorithms. In practice, these descriptors are constructed to be invariant to a class of transformations. However, the development of a descriptor that is simultaneously robust to noise and invariant under general deformation has proven difficult. In this paper, we introduce the Topological-Attributed Relational Graph (T-ARG), a new local photometric descriptor constructed from homology that is provably invariant to locally bounded deformation. This new robust topological descriptor is backed by a formal mathematical framework. We apply T-ARG to a set of benchmark images to evaluate its performance. Results indicate that T-ARG significantly outperforms traditional descriptors for noisy, deforming images.
Cite
Text
Lobaton et al. "Robust Topological Features for Deformation Invariant Image Matching." IEEE/CVF International Conference on Computer Vision, 2011. doi:10.1109/ICCV.2011.6126538Markdown
[Lobaton et al. "Robust Topological Features for Deformation Invariant Image Matching." IEEE/CVF International Conference on Computer Vision, 2011.](https://mlanthology.org/iccv/2011/lobaton2011iccv-robust/) doi:10.1109/ICCV.2011.6126538BibTeX
@inproceedings{lobaton2011iccv-robust,
title = {{Robust Topological Features for Deformation Invariant Image Matching}},
author = {Lobaton, Edgar J. and Vasudevan, Ramanarayan and Alterovitz, Ron and Bajcsy, Ruzena},
booktitle = {IEEE/CVF International Conference on Computer Vision},
year = {2011},
pages = {2516-2523},
doi = {10.1109/ICCV.2011.6126538},
url = {https://mlanthology.org/iccv/2011/lobaton2011iccv-robust/}
}