Fractal reconstruction with unorganized geochemical data

Mathematical Geology

Volumn 34, Issue 7, 2002, Pages 809-829

  Li, Changjiang ^a   Zhao, Nailiang ^b   Ma, Tuhua ^a  

^a Zhejiang Institute of Geology and Mineral Resources   (China)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

Fractal reconstruction; Geochemical landscapes; Irregularly scattered geochemical data; Visualization of geochemical concentration values

Indexed keywords

FRACTAL ANALYSIS; GEOCHEMISTRY;

EID: 0013351830     PISSN: 08828121     EISSN: 15738868     Source Type: Journal    
DOI: 10.1023/A:1020924626958     Document Type: Article

References (27)

1. Arakawa, K., and Krotkov, E., 1996, Fractal modeling of natural terrain: Analysis and surface reconstruction with range data: Graph. Models Image Process, v. 58(5), p. 413-436.
2. Barnsley, M. F., 1986, Fractal functions and interpolation: Constructive Approximation, v. 2, p. 303-329.
3. Barnsley, M. F., 1988, Fractals everywhere: Academic Press, New York, p. 394.
4. 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.
5. Chaudhuri, B. B., and Sarkar, N., 1992, Texture segmentation using fractal dimension: IEEE Trans. Pattern Anal. Mach. Intell., v. 17(1), p. 358-361.
6. Chen, 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.
7. Choi, B. K., 1991, Surface modeling for CAD/CAM: Elsevier, Amsterdam.
8. Darnley, A.G., Björklund, A., Bölviken, B., Gustavsson, N., Koval, P. V., and Plant, P. A., 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, 80.
9. Dyn, N., Levin, D., and Gregory, J. A., 1987, 4-point interpolatory subdivision scheme for curve design: Comput. Aided Geom. Design, v. 4, p. 257-268.
10. Fournier, A., Fussel, D., and Carpenter, L., 1982, Computer rendering of stochastic models: Commun. ACM, v. 25(6), p. 371-384.
11. Keller, J., Chen, S., and Crownover, R., 1989, Texture description and segmentation through fractal geometry: Comput. Vision Graph. Image Process, v. 45, p. 150-166.
12. Keller, J., Crownover, R., and Chen, R., 1987, Characteristics of natural scenes related to the fractal dimension: IEEE Trans. Pattern Anal. Mach. Intell., v. 9(5), p. 621-627.
13. Kolionen, T. (ed.), 1992, Geochemical atlas of Finland, part 2,Till: Geological Survey of Finland, Finland, 27 p.
14. Li, C. J., Jiang, X. L., Xu, Y. L., and Ma, T. H., 1996, Fractal analysis of Mesozoic hydrothermal ore deposits in Zhejiang: Sci. Geolog. Sin., v. 31(3), p. 264-273 (in Chinese with abstract in English).
15. 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 element contents in the crust: Geolog. Rev., v. 45(1), p. 76-84 (in Chinese with abstract in English).
16. 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 abstract in English).
17. Ma, W., and Kruth, J. P., 1995, Parametrization of randomly measured points for the least squares fitting of B-spline curves and surfaces: Comput. Aided Design, v. 27(9), p. 663-675.
18. Mandelbrot, B. B., 1982, The fractal geometry of nature: Freeman, San Francisco.
19. Musgrave, F., Kolb, C., and Mace, R., 1989, The synthesis and rendering of eroded fractal terrains: ACM SIGGRAPH Comput. Graph., v. 23(3), p. 41-50.
20. Peitgen, H., Jurgens, H., and Saupe, D., 1992, Chaos and fractals: New frontiers of science: Springer-Verlag, New York.
21. Pentland, A., 1984, Fractal-based description of natural scenes: IEEE Trans. Pattern Anal. Mach. Intell., v. 6(6), p. 661-674.
22. 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.
23. Schröder, P., and Zorin D. (Organizers), 1998, Subdivision for modeling and animation: SIGGRAPH 98 Course Notes.
24. Vemuri, B., Mandal, C., and Lai, S., 1997, A fast gibbs sampler for synthesizing constrained fractals: IEEE Trans. Vis. Comput. Graph., v. 3(4), p. 337-351.
25. Voss, R., 1986, Random fractals: Characterization and measurement, in Pynn, R., and Skjeltorp, A., eds., Scaling phenomena in disordered systems: Plenum, New York.
26. Yokoya, N., Yamamo, K., and Funakubo, N., 1989, Fractal-based analysis and interpolation of 3D natural surface shapes and their application to terrain modeling: Comput. Vision Graph. Image Process, v. 46, p. 284-302.
27. Zhao, N. L., 1996, Construction and application of fractal interpolation surfaces: Vis. Comput., v. 12(3), p. 132-146.