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.
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Translated from Izmeritel’naya Tekhnika, No. 7, pp. 14–20, July, 2017.
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Pashayev, A.M., Sadykhov, R.A. & Habibullayev, S.B. Modeling, Reproduction, and Mapping of Geofields with and Without Measurement Noise. Part 5. Spline Smoothing, Controlled Filtering, and Multicriterial Optimization Methods. Meas Tech 60, 666–675 (2017). https://doi.org/10.1007/s11018-017-1252-x
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DOI: https://doi.org/10.1007/s11018-017-1252-x