A fractal interpolatory approach to geochemical exploration data processing

Mathematical Geology

Volumn 36, Issue 5, 2004, Pages 593-606

  Li, Changjiang ^a,b   Ma, Tuhua ^a   Cheng, Jianjie ^b  

^a Zhejiang Information Center of Land and Resources   (China)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

Fractal interpolation procedure superlarge mineral deposits; Geochemical mapping; Spatial point data processing

Indexed keywords

DATA PROCESSING; FRACTAL ANALYSIS; GEOCHEMICAL SURVEY; MINERAL EXPLORATION;

EID: 5144224610     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:MATG.0000037738.34898.5e     Document Type: Article

References (20)

1. Barnsley, M. F., 1986, Fractal functions and interpolation: Constructive approximation, v. 2, p. 303-329.
2. Bölviken, B., Stokke, P. R., Feder, J., and Jössang, T., 1992, The fractal nature of geochemical landscapes: J. Geochem. Explor., v. 43, p. 91-109.
3. Cheng, H. X., Shen, X. C., Yan, G. S., Gu, T. X., Lai, Z. M., and Xie, X. J., 1997, Wide-spaced floodplain sediment sampling covering the whole of China: Pilot survey for International Geochemical Mapping: Proc. 30th Int. Geol. Congr., v. 19, p. 89-109.
4. 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, p. 109-130.
5. Darnley, A. G., Bjorklund, A., Bölviken, B., Gustavsson, N., Koval, P. V., Plant, J. A., Steenfelt, A., Tauchid, M., and Xie, X. J., 1995, A global geochemical database for environmental and resource management. Recommendations for International Geochemical Mapping: Final report of IGCP Project 259, Earth Sciences 19: UNESCO Publishing, Paris, 80 p.
6. Fournier, A., Fussel, D., and Carpenter, L., 1982, Computer rendering of stochastic models: Commun. ACM, v. 25, no. 6, p. 371-384.
7. Kolionen, T., 1992, Geochemical Atlas of Finland, Part 2, Till: Geological Survey of Finland, Espoo, 27 p.
8. Li, C. J., Ma, T. H., Zhu, X. S., and Hu, Y. H., 1999a, Fractal Brownian motion and geochemical survey: A fractal approach to the spatial distribution of element contents in the crust: Geol. Rev., v. 45, no. 1, p. 76-84 (in Chinese with English abstract).
9. Li, C. J., Ma, T. H., Zhu, X. S., Hu, Y. H., and Zhao, N. L., 1999b, Fractal, chaos and ANN in mineral exploration: Geological Publishing House, Beijing (in Chinese with English abstract).
10. Li, C. J., Zhao, N. L., and Ma, T. H., 2002, Fractal reconstruction with unorganized geochemical data: Math. Geol., v. 34, no. 7, p. 809-829.
11. Mandelbrot, B. B., 1983, The fractal geometry of nature: W. H. Freeman, San Francisco, 468 p.
12. Mandelbrot, B. B., and Van Ness, J. W., 1968, Fractional Brownian motions, fractional noises and applications: SIAM Rev., v. 10, p. 422.
13. Saupe, D., 1988, Algorithms for random fractals, in Peitgen, H.-O., and Saup, D., eds., The science of fractal images: Springer-Verlag, New York, p. 71-136.
14. Shurtz, R. F., 1992, Pseudo-fractal interpolation for risk analysis: Math. Geol., v. 12, no. 3, p. 132-146.
15. Turcotte, D. L., 1989, Fractals in geology and geophysics: Pure Appl. Geophys., v. 131, no. 1/2, p. 171-196.
16. Voss, R. F., 1985, Random fractals: Characterization and measurement, in Pynn, R., and Skejeltorp, A., eds., Scaling phenomena in disordered systems: Plenum, New York, p. 1-11.
17. Walduck, G. P., 1992, Qualitative modeling: Fractal geometry in mineral deposit evaluation, in Annels, A. E., ed., Case histories and methods in mineral resource evaluation: Geological Society, Special Publication, Vol. 63, p. 299-305.
18. Xie, X. J., 1996, Exploration geochemistry: Present status and prospects: Geol. Rev., v. 42, p. 346-356 (in Chinese with English abstract).
19. Xie, X. J., and Cheng, H. X., 1997, The suitability of floodplain sediment as global sampling medium: Evidence from China: J. Geochem. Explor. v. 58, no. 1, p. 51-62.
20. Zhao, N. L., 1996, Construction and application of fractal interpolation surfaces: Vis. Comput., v. 12, no.3, p. 132-146.