EPFL | Biomedical Imaging Group | Symmetry Detection

Template-Free Wavelet-Based Detection of Local Symmetries

Z. Püspöki, M. Unser

IEEE Transactions on Image Processing, vol. 24, no. 10, pp. 3009-3018, October 2015.

Our goal is to detect and group different kinds of local symmetries in images in a scale- and rotation-invariant way. We propose an efficient wavelet-based method to determine the order of local symmetry at each location. Our algorithm relies on circular harmonic wavelets which are used to generate steerable wavelet channels corresponding to different symmetry orders. To give a measure of local symmetry, we use the F-test to examine the distribution of the energy across different channels. We provide experimental results on synthetic images, biological micrographs, and electron-microscopy images to demonstrate the performance of the algorithm.

@ARTICLE(http://bigwww.epfl.ch/publications/puespoeki1502.html,
AUTHOR="P{\"{u}}sp{\"{o}}ki, Z. and Unser, M.",
TITLE="Template-Free Wavelet-Based Detection of Local Symmetries",
JOURNAL="{IEEE} Transactions on Image Processing",
YEAR="2015",
volume="24",
number="10",
pages="3009--3018",
month="October",
note="")

© 2015 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.