IM (version 1.0)

IM-package: Image Moment (IM) - Package

Description

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.

Arguments

Details

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.

References

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.