UPD-L method to estimate values of geomining variables measured in a set of points of Rn

Authors

  • Arístides A. Legrá Lobaina Instituto Superior Minero Metalúrgico de Moa

Keywords:

Modeling, estimator, interpolation, extrapolation, euclidean distance.

Abstract

Is described the mathematical algorithm to estimate in the point P then value of a dependent variable U when punctual values are measured in m points of Rn. The estimation is based on a lineal combination of the products of each Ui by a power of the euclidian distance from P to Pi. The use of this estimator is illustrated in the modeling of geo-mining curves, surfaces and hiper-surfaces.

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References

XIA, P.; TAHARA, T.; KAKUE, T.; AWATSUJI, Y.; NISHIO, K.; URA, S.; KUBOTA, T. & MATOBA, O. 2013: Performance comparison of bilinear interpolation, bicubic interpolation, and B-spline interpolation in parallel phase-shifting digital holography. Optical Review 20(2): 193-197.

BABAK, O. & DEUTSCH, C. 2008: Statistical approach to inverse distance interpolation. Stochastic Environmental Research and Risk Assessment 23(5): 543-553

GEOVARIANCES. 2010: ISATIS Software. Beginner's Guide. Versión 9.0. Geovariances & Ecole des Minas de Paris, France

LEGRÁ-LOBAINA, A. A.; ATANES-BEATÓN, D. M. & GUILARTE-FUENTES, C. 2014: Contribución al método de interpolación lineal con triangulación de Delaunay. Minería y Geología 30(2): 58-72.

Published

2015-04-20

How to Cite

Legrá Lobaina, A. A. (2015). UPD-L method to estimate values of geomining variables measured in a set of points of Rn. Minería & Geología, 31(1), 1–12. Retrieved from https://revista.ismm.edu.cu/index.php/revistamg/article/view/1061

Issue

Vol. 31 No. 1 (2015): Enero-Marzo

Section

Articles
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