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Authors: Christoph Dalitz ; Regina Pohle-Fröhlich ; Fabian Schmitt and Manuel Jeltsch

Affiliation: Niederrhein University of Applied Sciences, Germany

Keyword(s): Symmetry Detection, Image Filtering, Blood Vessels, Vesselness Filter, Angiography.

Abstract: The "gradient product transform" is a recently proposed image filter for assigning each image point a symmetry score based on scalar products of gradients. In this article, we show that the originally suggested method for finding the radius of the symmetry region is unreliable, and a more robust method is presented. Moreover, we extend the symmetry transform to rectangular symmetry regions so that it is more robust with respect to skew, and the transform is generalised to also work with three dimensional image data. We apply the transform to two different problems: detection of objects with rotational symmetry, and blood vessel extraction from medical images. In an experimental comparison with other solutions for these problems, the gradient product transform performs comparable to the best known algorithm for rotational symmetry detection, and better than the vesselness filter for blood vessel extraction.

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Paper citation in several formats:
Dalitz, C.; Pohle-Fröhlich, R.; Schmitt, F. and Jeltsch, M. (2015). The Gradient Product Transform for Symmetry Detection and Blood Vessel Extraction. In Proceedings of the 10th International Conference on Computer Vision Theory and Applications (VISIGRAPP 2015) - Volume 3: VISAPP; ISBN 978-989-758-090-1; ISSN 2184-4321, SciTePress, pages 177-184. DOI: 10.5220/0005234101770184

@conference{visapp15,
author={Christoph Dalitz. and Regina Pohle{-}Fröhlich. and Fabian Schmitt. and Manuel Jeltsch.},
title={The Gradient Product Transform for Symmetry Detection and Blood Vessel Extraction},
booktitle={Proceedings of the 10th International Conference on Computer Vision Theory and Applications (VISIGRAPP 2015) - Volume 3: VISAPP},
year={2015},
pages={177-184},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005234101770184},
isbn={978-989-758-090-1},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 10th International Conference on Computer Vision Theory and Applications (VISIGRAPP 2015) - Volume 3: VISAPP
TI - The Gradient Product Transform for Symmetry Detection and Blood Vessel Extraction
SN - 978-989-758-090-1
IS - 2184-4321
AU - Dalitz, C.
AU - Pohle-Fröhlich, R.
AU - Schmitt, F.
AU - Jeltsch, M.
PY - 2015
SP - 177
EP - 184
DO - 10.5220/0005234101770184
PB - SciTePress

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