IM-package: Image Moment (IM) - Package
In IM: Orthogonal Moment Analysis

Description Details Author(s) References

Compute Generalized-Pseudo Zernike, Fourier-Chebyshev, Fourier-Mellin, Radial Harmonic Fourier, Dual Hahn, Discrete Chebyshev, Krawtchouk, Gegenbauer, Legendre, Chebyshev moment type of single and multiple images.

Legend: gpzm, fc, fm, fr, hahn, cheby, krawt, gegen, legend, chebycont.

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)

Class 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

See references for more details.

Allison Irvine, Tan Dang.

Hosny, K.M.(2011). Image representation using accurate orthogonal Gegenbauer moments. Pattern Recognition Letters, 32(6), 795–804.

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.

IM documentation built on May 2, 2019, 8:55 a.m.