Following Corners on Curves and Surfaces in the Scale Space
Abstract
This paper is devoted to an analytical study of extrema curvature evolution through scale-space. Our analytical study allows to get results which show that, from a qualitative point of view, corner evolution in scale-space has the same behavior for planar curves or surfaces. In particular, this analysis, performed with different corner-shape models, shows that, for a two-corner shape, two curvature maxima exist and merge at a certain scale σ_0, depending on the shape. For a two-corner grey-level surface, the evolution of the determinant of hessian (DET) shows a merging point for a certain σ_0 independently of contrast, and the evolution of Gaussian Curvature presents the same characteristic but this point evolves with contrast.
Cite
Text
Vasselle et al. "Following Corners on Curves and Surfaces in the Scale Space." European Conference on Computer Vision, 1994. doi:10.1007/3-540-57956-7_11Markdown
[Vasselle et al. "Following Corners on Curves and Surfaces in the Scale Space." European Conference on Computer Vision, 1994.](https://mlanthology.org/eccv/1994/vasselle1994eccv-following/) doi:10.1007/3-540-57956-7_11BibTeX
@inproceedings{vasselle1994eccv-following,
title = {{Following Corners on Curves and Surfaces in the Scale Space}},
author = {Vasselle, Bruno and Giraudon, Gérard and Berthod, Marc},
booktitle = {European Conference on Computer Vision},
year = {1994},
pages = {109-114},
doi = {10.1007/3-540-57956-7_11},
url = {https://mlanthology.org/eccv/1994/vasselle1994eccv-following/}
}