A unifying approach to moment-based shape orientation and symmetry classification
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 se...
| Main Authors: | , , |
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| Format: | Article |
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Institute of Electrical and Electronics Engineers
2009
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| Online Access: | https://eprints.nottingham.ac.uk/31407/ |
| _version_ | 1848794194761482240 |
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| author | Tzimiropoulos, Georgios Mitianoudis, Nikolaos Stathaki, Tania |
| author_facet | Tzimiropoulos, Georgios Mitianoudis, Nikolaos Stathaki, Tania |
| author_sort | Tzimiropoulos, Georgios |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:12:19Z |
| format | Article |
| id | nottingham-31407 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:12:19Z |
| publishDate | 2009 |
| publisher | Institute of Electrical and Electronics Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-314072020-05-04T20:26:31Z https://eprints.nottingham.ac.uk/31407/ A unifying approach to moment-based shape orientation and symmetry classification Tzimiropoulos, Georgios Mitianoudis, Nikolaos Stathaki, Tania 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. Institute of Electrical and Electronics Engineers 2009-01 Article PeerReviewed Tzimiropoulos, Georgios, Mitianoudis, Nikolaos and Stathaki, Tania (2009) A unifying approach to moment-based shape orientation and symmetry classification. IEEE Transactions on Image Processing, 18 (1). pp. 125-139. ISSN 1057-7149 http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=4685872 doi:10.1109/TIP.2008.2007050 doi:10.1109/TIP.2008.2007050 |
| spellingShingle | Tzimiropoulos, Georgios Mitianoudis, Nikolaos Stathaki, Tania A unifying approach to moment-based shape orientation and symmetry classification |
| title | A unifying approach to moment-based shape orientation and symmetry classification |
| title_full | A unifying approach to moment-based shape orientation and symmetry classification |
| title_fullStr | A unifying approach to moment-based shape orientation and symmetry classification |
| title_full_unstemmed | A unifying approach to moment-based shape orientation and symmetry classification |
| title_short | A unifying approach to moment-based shape orientation and symmetry classification |
| title_sort | unifying approach to moment-based shape orientation and symmetry classification |
| url | https://eprints.nottingham.ac.uk/31407/ https://eprints.nottingham.ac.uk/31407/ https://eprints.nottingham.ac.uk/31407/ |