The scale invariants of pseudo-Zernike moments
The definition of pseudo-Zernike moments has a form of projection of the image intensity function onto the pseudo-Zernike polynomials, and they are defined using a polar coordinate representation of the image space. Hence, they are commonly used in recognition tasks requiring rotation invariance. Ho...
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| Format: | Article |
| Language: | English |
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Springer-Verlag
2003
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| Online Access: | http://shdl.mmu.edu.my/2525/ http://shdl.mmu.edu.my/2525/1/The%20scale%20invariants%20of%20pseudo-Zernike%20moments.pdf |
| _version_ | 1848790079182471168 |
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| author | Chong, Chee Way Mukundan, Ramakrishnan |
| author_facet | Chong, Chee Way Mukundan, Ramakrishnan |
| author_sort | Chong, Chee Way |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | The definition of pseudo-Zernike moments has a form of projection of the image intensity function onto the pseudo-Zernike polynomials, and they are defined using a polar coordinate representation of the image space. Hence, they are commonly used in recognition tasks requiring rotation invariance. However, this coordinate representation does not easily yield a scale invariant function because it is difficult to extract a common scale factor from the radial polynomials. As a result, vision applications generally resort to image normalisation method or using a combination of scale invariants of geometric orradial moments to achieve the corresponding invariants of pseudo-Zernike moments. In this paper, we present a mathematical framework to derive a new set of scale invariants of pseudo-Zernike moments based on pseudo-Zernike polynomials. They are algebraically obtained by eliminating the scale factor contained in the scaled pseudo-Zernike moments. They remain unchanged under equal-shape expansion, contraction and reflection of theoriginal image. They can be directly computed from any scaled image without prior knowledge of the normalisation parameters, or assistance of geometric or radial moments. Their performance is experimentally verified using a set of Chinese and Latin characters. In addition, a comparison of computational speed between the proposed descriptors and the present methods is also presented. |
| first_indexed | 2025-11-14T18:06:54Z |
| format | Article |
| id | mmu-2525 |
| institution | Multimedia University |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:06:54Z |
| publishDate | 2003 |
| publisher | Springer-Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-25252015-03-03T03:27:24Z http://shdl.mmu.edu.my/2525/ The scale invariants of pseudo-Zernike moments Chong, Chee Way Mukundan, Ramakrishnan QA75.5-76.95 Electronic computers. Computer science The definition of pseudo-Zernike moments has a form of projection of the image intensity function onto the pseudo-Zernike polynomials, and they are defined using a polar coordinate representation of the image space. Hence, they are commonly used in recognition tasks requiring rotation invariance. However, this coordinate representation does not easily yield a scale invariant function because it is difficult to extract a common scale factor from the radial polynomials. As a result, vision applications generally resort to image normalisation method or using a combination of scale invariants of geometric orradial moments to achieve the corresponding invariants of pseudo-Zernike moments. In this paper, we present a mathematical framework to derive a new set of scale invariants of pseudo-Zernike moments based on pseudo-Zernike polynomials. They are algebraically obtained by eliminating the scale factor contained in the scaled pseudo-Zernike moments. They remain unchanged under equal-shape expansion, contraction and reflection of theoriginal image. They can be directly computed from any scaled image without prior knowledge of the normalisation parameters, or assistance of geometric or radial moments. Their performance is experimentally verified using a set of Chinese and Latin characters. In addition, a comparison of computational speed between the proposed descriptors and the present methods is also presented. Springer-Verlag 2003-12 Article NonPeerReviewed text en http://shdl.mmu.edu.my/2525/1/The%20scale%20invariants%20of%20pseudo-Zernike%20moments.pdf Chong, Chee Way and Mukundan, Ramakrishnan (2003) The scale invariants of pseudo-Zernike moments. Pattern Analysis & Applications, 6 (3). pp. 176-184. ISSN 1433-7541 http://dx.doi.org/10.1007/s10044-002-0183-5 doi:10.1007/s10044-002-0183-5 doi:10.1007/s10044-002-0183-5 |
| spellingShingle | QA75.5-76.95 Electronic computers. Computer science Chong, Chee Way Mukundan, Ramakrishnan The scale invariants of pseudo-Zernike moments |
| title | The scale invariants of pseudo-Zernike moments |
| title_full | The scale invariants of pseudo-Zernike moments |
| title_fullStr | The scale invariants of pseudo-Zernike moments |
| title_full_unstemmed | The scale invariants of pseudo-Zernike moments |
| title_short | The scale invariants of pseudo-Zernike moments |
| title_sort | scale invariants of pseudo-zernike moments |
| topic | QA75.5-76.95 Electronic computers. Computer science |
| url | http://shdl.mmu.edu.my/2525/ http://shdl.mmu.edu.my/2525/ http://shdl.mmu.edu.my/2525/ http://shdl.mmu.edu.my/2525/1/The%20scale%20invariants%20of%20pseudo-Zernike%20moments.pdf |