Interpolation of Geofield Parameters

Various methods of geofield parameters restoration (by algebraic polynoms; filters; rational fractions; interpolation splines; geostatistical methods – kriging; search methods of nearest points – inverse distance, minimum curvature, local – polynomial interpolation; neural networks) have been analyzed and some possible mistakes arising during geofield surface modeling have been presented.

• A. Pashayev
• C. Ardil
• R. Sadiqov

• interpolation methods
• geofield parameters
• neural networks.

[1] M. Yanalak, Height interpolation in digital terran models. Ankara, Harita
dergisi, Temmuz 2002. Sayi: 128. p. 44 - 58.
[2] Banks of gwographic data for thematic magging.(Garfography) K. A.
Salishev, S.N. Serbenyuk M.: MSU. 1987.
[3] A. Berlyant, L. Ushakova, Cartographic animations. Moscow: Scientific
World, 2000.
[4] O. Akima, P. Hiroshi, Bivariate interpolation and smooth surface fitting
for irregulary distributed date points. ACM Transactions for
Mathematical Software. June 1978. p. 148 - 159.
[5] L.Buryakovskii, I. Dzhafarov and Dzhefanshir, Modeling systems.
Moscow: Nedra, 1990.
[6] R. Sadigov, Mathematic models and automation of oil extracting task
solving`s. Baku, 1994. 71p.
[7] A. Volkov, V. Pyatkov, and S. Toropov, Spline approcsimation in
cartography tasks. Problems of oil and gas in Tyumen. 1978. Ôäû 39. p. 74
- 78.
[8] R. Olea, Optimum mapping techniques using redionalized variable
theory. Kanzas Geological Survey Series on Spatial Analisis, 1975. Ôäû 2.
137p.
[9] M. David, Geostatistical ore reserve estimation. Elseevier Publ. Co.
Amsterdam, 1977.
[10] J. Davids, Statistics and data analysis in geology. Published
semultaneously in Canada, 1986 by John Wiley and Sond, Inc.All rights
reserved.
[11] V. Lomtadze, Software ð¥ð▒ÐÇð░ð▒ð¥Ðéð║ð© ð│ðÁð¥Ðäð©ðÀð©ÐçðÁÐüð║ð©Ðà ð┤ð░ð¢ð¢ÐïÐà. Leningrad:
Nedra, 1982.
[12] L.Liung, System Identification: Theory for the User. University of
Linkoping Sweden, 1987 by Prentice - Hall, Inc.
[13] R. Yager, L. Zadeh. (Eds.) Fuzzy sets, Neural Networks and Soft
Computing. Van Nostrand Reinhold - New York, 1994.
[14] H. Mohamad. Fundamentals of Artificial Neural Networks, MIT Press,
Cambridge, Mass., and London, 1995.