The Gradient Product Transform for Symmetry Detection and Blood Vessel Extraction

Christoph Dalitz, Regina Pohle-Fröhlich, Fabian Schmitt, Manuel Jeltsch

2015

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.

Paper Citation

in Harvard Style

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 - Volume 2: VISAPP, (VISIGRAPP 2015) ISBN 978-989-758-090-1, pages 177-184. DOI: 10.5220/0005234101770184

in Bibtex Style

@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 - Volume 2: VISAPP, (VISIGRAPP 2015)},
year={2015},
pages={177-184},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005234101770184},
isbn={978-989-758-090-1},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 10th International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, (VISIGRAPP 2015)
TI - The Gradient Product Transform for Symmetry Detection and Blood Vessel Extraction
SN - 978-989-758-090-1
AU - Dalitz C.
AU - Pohle-Fröhlich R.
AU - Schmitt F.
AU - Jeltsch M.
PY - 2015
SP - 177
EP - 184
DO - 10.5220/0005234101770184