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Multifractal Imaging Filtering and Decomposition Methods in Space, Fourier Frequency, and Eigen Domains : Volume 14, Issue 3 (18/06/2007)

By Cheng, Qiuming

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Book Id: WPLBN0004019827
Format Type: PDF Article :
File Size: Pages 11
Reproduction Date: 2015

Title: Multifractal Imaging Filtering and Decomposition Methods in Space, Fourier Frequency, and Eigen Domains : Volume 14, Issue 3 (18/06/2007)  
Author: Cheng, Qiuming
Volume: Vol. 14, Issue 3
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Cheng, Q. (2007). Multifractal Imaging Filtering and Decomposition Methods in Space, Fourier Frequency, and Eigen Domains : Volume 14, Issue 3 (18/06/2007). Retrieved from

Description: State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan 430074, Beijing 100083, China. The patterns shown on two-dimensional images (fields) used in geosciences reflect the end products of geo-processes that occurred on the surface and in the subsurface of the Earth. Anisotropy of these types of patterns can provide information useful for interpretation of geo-processes and identification of features in the mapped area. Quantification of the anisotropy property is therefore essential for image processing and interpretation. This paper introduces several techniques newly developed on the basis of multifractal modeling in space, Fourier frequency, and eigen domains, respectively. A singularity analysis method implemented in the space domain can be used to quantify the intensity and anisotropy of local singularities. The second method, called S-A, characterizes the generalized scale invariance property of a field in the Fourier frequency domain. The third method characterizes the field using a power-law model on the basis of eigenvalues and eigenvectors of the field. The applications of these methods are demonstrated with a case study of Environment Scan Electric Microscope (ESEM) microimages for identification of sphalerite (ZnS) ore minerals from the Jinding Pb/Zn/Ag mineral deposit in Shangjiang District, Yunnan Province, China.

Multifractal imaging filtering and decomposition methods in space, Fourier frequency, and eigen domains

Agterberg, F. P.: Multifractal modeling of the sizes and grades of giant and supergiant deposits, Int. Geology Rev., 37, 1–8, 1995.; Agterberg, F. P.: Application of a three-parameter version of the model of de Wijs in regional geochemistry, in: GIS and Spatial Analysis, edited by: Cheng, Q. and Bonham-Carter, G. F., 291–296, China Univ. Geosc., Wuhan, 2005.; Agterberg, F. P.: New applications of the model of de Wijs in regional geochemistry, Math. Geology, 31, 1–25, 2007.; Badii, R. and Politi, A.: Hausdorff dimension and uniformity of strange attractors, Phys. Rev. Lett., 52, 1661–1664, 1984.; Badii, R. and Politi, A.: Statistical description of chaotic attractors: The dimension function, J. Statist. Phys., 40, 725–750, 1985.; Chao, L. and Cheng, Q.: A tentative integrated model of scale invariant generator technique (SIG) and spectrum-area (S-A) technique, in: Proceedings of IAMG'05: GIS and Spatial Analysis, edited by: Cheng, Q. and Bonham-Cater, G., International Association for Mathematical Geology, China University of Geosciences Printing House, Wuhan, 1, 303–309, 2005.; Cheng, Q.: Discrete multifractals, Math. Geology, 29(2), 245–266, 1997.; Cheng, Q.: The gliding box method for multifractal modeling, Comput. Geosci., 25(10), 1073–1079, 1999a.; Cheng, Q.: Multifractality and spatial statistics, Comput. Geosci., 25(10), 949–961, 1999b.; Cheng, Q.: GeoData Analysis System (GeoDAS) for mineral Exploration: User's Guide and Exercise Manual. Material for the training workshop on GeoDAS held at York University, Toronto, Canada, 1, 3, 204 pp.,, 2000.; Cheng, Q.: Selection of multifractal scaling breaks and separation of geochemical and geophysical anomaly, Earth Sci. – a Journal of China University of Geosciences, 12(1), 54–59, 2001a.; Cheng, Q.: The decomposition of geochemical map patterns on the basis of their scaling properties in order to separate anomalies from background, in: Proceedings of the International Statistical Institute held in Seoul on 22–29 August, 4 pages, 2001b.; Cheng, Q.: A new model for quantifying anisotropic scale invariance and for decomposition of mixing patterns, Math. Geology, 36(3), 345–360, 2004.; Cheng, Q.: Multifractal modeling of eigenvalues and eigenvectors of 2-D maps, Math. Geology, 37(8), 915–927, 2005.; Cheng, Q.: Multifractal modelling and spectrum analysis of gamma ray spectrometer data from southwestern Nova Scotia, Canada, Science in China, 49(3), 283–294, 2006.; Cheng, Q., Agterberg, F. P., and Ballantyne, S. B.: The separation of geochemical anomalies from background by fractal methods, J. Geochem. Explor., 51(2), 109–130, 1994.; Cheng, Q., Xu, Y., and Grunsky, E.: Integrated spatial and spectrum analysis for geochemical anomaly separation, in: Proc. Int. Assoc Mathematical Geology Meeting, edited by: Lippard, J. L., Naess, A., and Sinding-Larsen, R., Trondheim, Norway I, p. 87–92, 1999.; Cheng, Q., Xu, Y., and Grunsky, E.: Multifractal power spectrum-area method for geochemical anomaly separation, Nat. Resour. Res., 9(1), 43–51, 2001.; Chhabra, A. B. and Sreenivasan, K. R.: Negative dimensions: theory, computation and experiment, Phys. Rev. A, 43(2), 1114–1117, 1991.; Evertsz, C. J. G. and Mandelbrot, B. B.: Multifrtactal measures, in: Chaos and Fractals, edited by: Peitgen, H.-O., Jürgens, H., and Saupe, D., Springer-Verlag, New York, pp. 922–953, 1992.; Feder, J.: Fractals, Plenum Press, New York, 283 pp, 1988.; Frisch, U. and Parisi, G.: On the singularity structure of fully developed turbulence, in: Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, edited by: Ghil, M., Benzi, R., and Parisi, G., North-Holland, New York, pp. 84–88, 1985.; Grassberger, P.: Generalized dimensions of strange attractors, Phys. L


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