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Authors: Sinda Elghoul and Faouzi Ghorbel

Affiliation: CRISTAL Laboratory and Pole Grift, Tunisia

Keyword(s): 2D Curve Matching, Affine Transformation, Partially Occluded, Motion Estimation, Affine Arc Length, Pseudo-inverse Matrix.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Image and Video Analysis ; Image Registration ; Shape Representation and Matching

Abstract: Most of the existing works on partially occluded shape recognition are suited for Euclidean transformations. As a result, the performance would be degraded in the affine and perspective transformation. This paper presents a new estimation and matching method of the 2D partially occluded recognition under affine transformation including translation, rotation, scaling, and shearing. The proposed algorithm is designed to estimate the motion between two open 2D shapes based on an affine curve matching algorithms (ACMA). This ACMA considers the normalized affine arc length coordinated to the 2D contour. Then, it will correlate them in order to minimize the L2 distance according to any planar affine transformation by means of a method based upon a pseudo-inverse matrix. Experiments are carried on the Multiview Curve Dataset (MCD). They demonstrate that our algorithm outperforms other methods proposed in the state-of-the-art.

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Paper citation in several formats:
Elghoul, S. and Ghorbel, F. (2018). An Efficient 2D Curve Matching Algorithm under Affine Transformations. In Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2018) - Volume 4: VISAPP; ISBN 978-989-758-290-5; ISSN 2184-4321, SciTePress, pages 474-480. DOI: 10.5220/0006719504740480

@conference{visapp18,
author={Sinda Elghoul. and Faouzi Ghorbel.},
title={An Efficient 2D Curve Matching Algorithm under Affine Transformations},
booktitle={Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2018) - Volume 4: VISAPP},
year={2018},
pages={474-480},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006719504740480},
isbn={978-989-758-290-5},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2018) - Volume 4: VISAPP
TI - An Efficient 2D Curve Matching Algorithm under Affine Transformations
SN - 978-989-758-290-5
IS - 2184-4321
AU - Elghoul, S.
AU - Ghorbel, F.
PY - 2018
SP - 474
EP - 480
DO - 10.5220/0006719504740480
PB - SciTePress