Image analysis by Tchebichef moments
This paper introduces a new set of orthogonal moment functions based on the discrete Tchebichef polynomials. The Tchebichef moments can be effectively used as pattern features in the analysis of two-dimensional images. The implementation of moments proposed in this paper does not involve any numeric...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2001
|
| Subjects: | |
| Online Access: | http://shdl.mmu.edu.my/2686/ http://shdl.mmu.edu.my/2686/1/1927.pdf |
| _version_ | 1848790123398823936 |
|---|---|
| author | Mukundan, Ramakrishnan Lee, Poh Aun |
| author_facet | Mukundan, Ramakrishnan Lee, Poh Aun |
| author_sort | Mukundan, Ramakrishnan |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | This paper introduces a new set of orthogonal moment functions based on the discrete Tchebichef polynomials. The Tchebichef moments can be effectively used as pattern features in the analysis of two-dimensional images. The implementation of moments proposed in this paper does not involve any numerical approximation, since the basis set is orthogonal in the discrete domain of the image coordinate space. This property makes Tchebichef moments superior to the conventional orthogonal moments such as Legendre moments and Zernike moments, in terms of preserving the analytical properties needed to ensure information redundancy in a moment set. The paper also details the various computational aspects of Tchebichef moments and demonstrates their feature representation capability using the method of image reconstruction. |
| first_indexed | 2025-11-14T18:07:37Z |
| format | Article |
| id | mmu-2686 |
| institution | Multimedia University |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:07:37Z |
| publishDate | 2001 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-26862015-03-03T03:24:01Z http://shdl.mmu.edu.my/2686/ Image analysis by Tchebichef moments Mukundan, Ramakrishnan Lee, Poh Aun QA75.5-76.95 Electronic computers. Computer science This paper introduces a new set of orthogonal moment functions based on the discrete Tchebichef polynomials. The Tchebichef moments can be effectively used as pattern features in the analysis of two-dimensional images. The implementation of moments proposed in this paper does not involve any numerical approximation, since the basis set is orthogonal in the discrete domain of the image coordinate space. This property makes Tchebichef moments superior to the conventional orthogonal moments such as Legendre moments and Zernike moments, in terms of preserving the analytical properties needed to ensure information redundancy in a moment set. The paper also details the various computational aspects of Tchebichef moments and demonstrates their feature representation capability using the method of image reconstruction. IEEE 2001-09 Article NonPeerReviewed text en http://shdl.mmu.edu.my/2686/1/1927.pdf Mukundan, Ramakrishnan and Lee, Poh Aun (2001) Image analysis by Tchebichef moments. IEEE Transactions on Image Processing, 10 (9). pp. 1357-1364. ISSN 1057-7149 http://dx.doi.org/10.1109/83.941859 doi:10.1109/83.941859 doi:10.1109/83.941859 |
| spellingShingle | QA75.5-76.95 Electronic computers. Computer science Mukundan, Ramakrishnan Lee, Poh Aun Image analysis by Tchebichef moments |
| title | Image analysis by Tchebichef moments |
| title_full | Image analysis by Tchebichef moments |
| title_fullStr | Image analysis by Tchebichef moments |
| title_full_unstemmed | Image analysis by Tchebichef moments |
| title_short | Image analysis by Tchebichef moments |
| title_sort | image analysis by tchebichef moments |
| topic | QA75.5-76.95 Electronic computers. Computer science |
| url | http://shdl.mmu.edu.my/2686/ http://shdl.mmu.edu.my/2686/ http://shdl.mmu.edu.my/2686/ http://shdl.mmu.edu.my/2686/1/1927.pdf |