A new model for quantifying anisotropic scale invariance and for decomposition of mixing patterns

Mathematical Geology

Volumn 36, Issue 3, 2004, Pages 345-360

  Cheng, Qiuming ^a,b  

^a YORK UNIVERSITY   (Canada)

^b CHINA UNIVERSITY OF GEOSCIENCES   (China)

Author keywords

Anisotropic scaling; Geophysical and geochemical data processing; Landsat TM image; Multifractal; Self similarity

Indexed keywords

DATA PROCESSING; FRACTAL ANALYSIS; GEOCHEMISTRY; GEOPHYSICS; MATHEMATICAL ANALYSIS; POWER LAW;

EID: 3042841955     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:MATG.0000028441.62108.8a     Document Type: Article

References (14)

1. Agterberg, F. P., Cheng, Q., and Wright, D., 1993, Fractal modeling of mineral deposits, in Proceedings XXIV APCOM, October 31-November 3, 1993, Montreal, Quebec, v. 1 p. 43-53.
2. Cheng, Q., 1999, Multifractality and spatial statistics: Comp. Geosci., v. 25, no. 10, p. 8-25.
3. Cheng, Q., 2000, GeoData Analysis System (GeoDAS) for Mineral Exploration: User's Guide and Exercise Manual, in Unpublished notes for the training workshop on GeoDAS held at York University, November 1-3, 2000, 204 p. (www.gisworld.org/geodas).
4. Cheng, Q., 2001a, Spatial self-similarity and geophysical and geochemical anomaly decomposition: J. Geophys. Prog. J. Chin. Acad. Sci., v. 16, no. 2, p. 8-17. (in Chinese with English Abstract).
5. Cheng, Q., 2001b, Self-similarity/self-affinity and pattern recognition techniques for GIS analysis and image processing, in IAMG2001 Meeting, Cancún, Mexico, September 6-12, 2001 (6 pages on CD).
6. Cheng, Q., Agterberg, F. P., and Ballantyne, S. B., 1994, The separation of geochemical anomalies from background by fractal methods: J. Geochem. Explor. v. 51, no. 2, p. 109-130.
7. Cheng, Q., Xu, Y., and Grunsky, E., 1999, Integrated spatial and spectrum analysis for geochemical anomaly separation, in Lippard, J. L., Naess, A., and Sinding-Larsen, R., eds., Proceedings of the International Association of Mathematical Geology Meeting, Trondheim, Norway I, p. 87-92.
8. Cheng, Q., Xu, Y., and Grunsky, E., 2001, Multifractal power spectrum-area method for geochemical anomaly separation: Nat. Resour. Res., v. 9, no. 1, p. 43-51.
9. Fox, C. G., and Hayes, D., 1985, Quantitative methods for analyzing the roughness of the sea floor: Rev. Geophys., v. 23, p. 1-48.
10. Ge, Y., Cheng, Q., and Zhang, S., in press, Edge effect correction in S-A method for geochemical anomaly separation: J. Earth Sci.
11. Lewis, G. M., Lovejoy, S., Schertzer, D., and Pecknold, S., 1999, The scale invariant generator technique for quantifying anisotropic scale invariance: Comp. Geosci., v. 25, no. 9, p. 963-978.
12. Lovejoy, S., and Schertzer, D., 1985, Generalized scale invariance and fractal models of rain: Water Resour. Res., v. 21, no. 8, p. 1233-1250.
13. Rencz, A., Harris, J., and Ballantyne, B. B., 1994, Landsat TM imagery for alteration identification, in Current research 1994E, Geological Survey of Canada, Ottawa, p. 277-282.
14. Schertzer, D., and Lovejoy, S. (Eds.), 1991, Nonlinear Variability in Geophysics: Kluwer Academic, Dordrecht, The Netherlands, 318 pp.