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Authors: Raphael dos S. Evangelista and Leandro A. F. Fernandes

Affiliation: Instituto de Computação, Universidade Federal Fluminense (UFF), Av. Gal. Milton Tavares de Souza, Niterói, Brazil

Keyword(s): Visual Feature, Junction, Invariant Theory, Similarity Map, Affine Map, Projective Map.

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.

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Paper citation in several formats:
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; ISSN 2184-4321, SciTePress, pages 181-188. DOI: 10.5220/0008894301810188

@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},
issn={2184-4321},
}

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
IS - 2184-4321
AU - Evangelista, R.
AU - Fernandes, L.
PY - 2020
SP - 181
EP - 188
DO - 10.5220/0008894301810188
PB - SciTePress