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Measurement Techniques
Published in: Measurement Techniques 2/2018

26-06-2018

Modeling, Reproduction, and Mapping of Geofields With and Without Measurement Noise. Part 6. Piecewise Polynomial Approximations, Statistical Design of Experiments, and the Construction of Contour Maps

Authors: A. M. Pashayev, R. A. Sadykhov, S. B. Habibullayev

Published in: Measurement Techniques | Issue 2/2018

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Abstract

Spline, finite element, and piecewise polynomial fits of the boundaries of geofields with automatic matching are examined. The unknown coefficients of the approximating polynomials are estimated using measurements of their input and output coordinates in the presence of measurement noise. A new method for constructing contour maps is developed on the basis of the fundamental “recurrence” theorem of Poincare. The capabilities of this method for constructing contours are examined.
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Literature
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Metadata
Title
Modeling, Reproduction, and Mapping of Geofields With and Without Measurement Noise. Part 6. Piecewise Polynomial Approximations, Statistical Design of Experiments, and the Construction of Contour Maps
Authors
A. M. Pashayev
R. A. Sadykhov
S. B. Habibullayev
Publication date
26-06-2018
Publisher
Springer US
Published in
Measurement Techniques / Issue 2/2018
Print ISSN: 0543-1972
Electronic ISSN: 1573-8906
DOI
https://doi.org/10.1007/s11018-018-1395-4

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