The Recipe for Some Invariant Numbers and for a New Projective Invariant Feature Descriptor

Raphael dos S. Evangelista, Leandro A. F. Fernandes

2020

Abstract

The Computer Vision literature provides a range of techniques designed to detect and describe local features in images. The applicability of these techniques in visual tasks is directly related to the invariance of each kind of descriptor to a group of geometric transformations. To the best of our knowledge, there is no local feature descriptor solely based on single intensity images that are invariant to projective transformations. We present how to use existing monomials invariant to similarity, affine, and projective transformations to compute invariant numbers from junctions’ geometry. In addition, we present a new junction-based invariant number and use it to propose a new local feature descriptor invariant to projective transformations in digital images.

Paper Citation

in Harvard Style

Evangelista R. and Fernandes L. (2020). The Recipe for Some Invariant Numbers and for a New Projective Invariant Feature Descriptor. In Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 4: VISAPP; ISBN 978-989-758-402-2, SciTePress, pages 181-188. DOI: 10.5220/0008894301810188

in Bibtex Style

@conference{visapp20,
author={Raphael dos S. Evangelista and Leandro A. F. Fernandes},
title={The Recipe for Some Invariant Numbers and for a New Projective Invariant Feature Descriptor},
booktitle={Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 4: VISAPP},
year={2020},
pages={181-188},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008894301810188},
isbn={978-989-758-402-2},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 4: VISAPP
TI - The Recipe for Some Invariant Numbers and for a New Projective Invariant Feature Descriptor
SN - 978-989-758-402-2
AU - Evangelista R.
AU - Fernandes L.
PY - 2020
SP - 181
EP - 188
DO - 10.5220/0008894301810188
PB - SciTePress