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Development of a Model Based on the Ordinary Kriging Method for Surface Modeling and Reconstruction from Data Given at Scattered Nodess

scattered nodal points, spatial interpolation, ordinary kriging, semivariogram, surface reconstruction, spatial modeling, interpolation accuracy, mathematical model, function of two variables.

Авторы

This paper studies mathematical equations that can be used to reconstruct and
analyze geological surfaces using the data provided at a point (scattered points). The work explains
the working capabilities of the kriging technique in the reconstruction of surfaces, what the term
signifies as a mathematical model, and how the technique is used in the computing process. The
implementation of kriging method in the circumstances of irregularly spaced points of the space is
discussed both mathematically and computationally and this example is compared to the case of grid
nodes. The findings have revealed that when the points are not distributed consistently, the kriging
technique has proven to be a natural and sound mathematical framework in the reconstruction of
geological surfaces. This paper is dedicated to the justification of the efficiency of the kriging model
in reconstruction and analysis of geological surfaces.