Modeling, Reproduction, and Mapping of Geofields with and Without Measurement Noise. Part 5. Spline Smoothing, Controlled Filtering, and Multicriterial Optimization Methods


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Abstract

Various approaches to the recovery of geofield surfaces (spline smoothing, controlled filtering) which are limited by linear regularizing and filtering algorithms are analyzed. It is shown that the problem of recovering surfaces (images) is multicriterial. A new method for constructing a set of nondominant solutions is proposed: the Pareto set.

About the authors

A. M. Pashayev

National Academy of Aviation of Azerbaijan

Author for correspondence.
Email: sadixov@mail.ru
Azerbaijan, Baku

R. A. Sadykhov

National Academy of Aviation of Azerbaijan

Email: sadixov@mail.ru
Azerbaijan, Baku

S. B. Habibullayev

National Academy of Aviation of Azerbaijan

Email: sadixov@mail.ru
Azerbaijan, Baku


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