A unifying approach to moment-based shape orientation and symmetry classification

Tzimiropoulos, Georgios; Mitianoudis, Nikolaos; Stathaki, Tania

Abstract

In this paper, the problem of moment-based shape orientation and symmetry classification is jointly considered. A generalization and modification of current state-of-the-art geometric moment-based functions is introduced. The properties of these functions are investigated thoroughly using Fourier series analysis and several observations and closed-form solutions are derived. We demonstrate the connection between the results presented in this work and symmetry detection principles suggested from previous complex moment-based formulations. The proposed analysis offers a unifying framework for shape orientation/symmetry detection. In the context of symmetry classification and matching, the second part of this work presents a frequency domain method, aiming at computing a robust moment-based feature set based on a true polar Fourier representation of image complex gradients and a novel periodicity detection scheme using subspace analysis. The proposed approach removes the requirement for accurate shape centroid estimation, which is the main limitation of moment-based methods, operating in the image spatial domain. The proposed framework demonstrated improved performance, compared to state-of-the-art methods.

Citation

Tzimiropoulos, G., Mitianoudis, N., & Stathaki, T. (2009). A unifying approach to moment-based shape orientation and symmetry classification. IEEE Transactions on Image Processing, 18(1), https://doi.org/10.1109/TIP.2008.2007050

• Journal Article Type: Article
• Publication Date: Jan 1, 2009
• Deposit Date: Feb 1, 2016
• Publicly Available Date: Feb 1, 2016
• Journal: IEEE Transactions on Image Processing
• Print ISSN: 1057-7149
• Electronic ISSN: 1057-7149
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Volume: 18
• Issue: 1
• DOI: https://doi.org/10.1109/TIP.2008.2007050
• Public URL: https://nottingham-repository.worktribe.com/output/1014037
• Publisher URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=4685872
• Additional Information: © 2009 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works