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Int J Comput Vis (2010) 90: 166182 DOI 10.1007/s11263-010-0356-4

Summary: Int J Comput Vis (2010) 90: 166182
DOI 10.1007/s11263-010-0356-4
3-D Symmetry Detection and Analysis Using the Pseudo-polar
Fourier Transform
Amit Bermanis Amir Averbuch Yosi Keller
Received: 15 November 2007 / Accepted: 13 May 2010 / Published online: 26 May 2010
Springer Science+Business Media, LLC 2010
Abstract Symmetry detection and analysis in 3D images
is a fundamental task in a gamut of scientific fields such as
computer vision, medical imaging and pattern recognition
to name a few. In this work, we present a computational ap-
proach to 3D symmetry detection and analysis. Our analy-
sis is conducted in the Fourier domain using the pseudo-
polar Fourier transform. The pseudo-polar representation
enables to efficiently and accurately analyze angular volu-
metric properties such as rotational symmetries. Our algo-
rithm is based on the analysis of the angular correspondence
rate of the given volume and its rotated and rotated-inverted
replicas in their pseudo-polar representations. We also de-
rive a novel rigorous analysis of the inherent constraints of


Source: Averbuch, Amir - School of Computer Science, Tel Aviv University


Collections: Computer Technologies and Information Sciences