| Package: |
| IM |
| Type: |
| Package |
| Version: |
| 1.0 |
| Date: |
| 2012-07-18 |
| License: |
| GPL (>= 2) |
| LazyLoad: |
| yes |
| Depends: |
| R (>= 2.9.0),png (>= 0.1-4),jpeg (>= 0.1-2),bmp (>= 0.1) |
linkS4class{Image} parent class for CmplxIm and OrthIm classes
Class CmplxIm handles moment analysis of single image with type : Generalized Pseudo-Zernike, Fourier-Chebyshev, Fourier-Mellin, Radial Harmonic Fourier.
Class OrthIm handles moment analysis of single image with type: Dual Hahn, Discrete Chebyshev, Krawtchouk, Gegenbauer, Legendre, Chebyshev.
Class MultiIm handles moments analysis of list of matrices with type: Generalized Pseudo-Zernike, Fourier-Chebyshev, Fourier-Mellin, Radial Harmonic Fourier, Dual Hahn, Discrete Chebyshev, Krawtchouk, Gegenbauer, Legendre, Chebyshev.
Function momentObj provides easy construction of object of different moment type and parameter.
Parameter requirements:
| Generalized Pseudo-Zernike: |
| a is natural number. When a=0, the polynomials are equivalent to Pseudo-Zernike |
| Dual Hahn: |
| a, c are integers, with a >= 0 and a > abs(c)-1 |
| Krawtchouk: |
| a is a real number between 0 and 1 |
| Gegenbauer: |
| a is real number and a > 1/2 |
Mukundan, R., Ong, S.H., and Lee, P.A.(2001). Image analysis by Tchebichef moments. Image Processing, IEEE Transactions on, 10(9), 1357--1364.
Ping, Z., Wu, R., and Sheng, Y. (2002). Image description with Chebyshev-Fourier moments. Journal of the Optical Society of America A, 19(9), 1748--1754.
Ren, H., Liu, A., Zou, J., Bai, D., and Ping, Z.(2007). Character Reconstruction with Radial-Harmonic-Fourier Moments. Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007.
Sheng, Y., and Shen, L. (2007). Orthogonal Fourier-Mellin moments for invariant pattern recognition. Journal of the Optical Society of America A, 11(6), 1748--1757.
Xia, T., Zhu, H., Shu, H., Haigron, P., and Luo, L. (2007). Image description with generalized pseudo-Zernike moments. Journal of the Optical Society of America A, 24(1), 50--59.
Venkataramana, A., and Raj, P.A.(2007). Image Watermarking Using Krawtchouk Moments. Computing: Theory and Applications, 2007. ICCTA '07. International Conference on, 5-7 March 2007, 676--680.
Zhu, H.(2012). Image representation using separable two-dimensional continuous and discrete orthogonal moments. Pattern Recognition, 45(4), 1540--1558.
Zhu, H., Shu, H., Zhou, J., Luo, L. and Coatrieux, J.L.(2007) Image Analysis by Discrete Orthogonal Dual Hahn Moments. Pattern Recognition Letters, 28(13), 1866--1704.