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

A. M. Pashayev; R. A. Sadykhov; S. B. Habibullayev

doi:10.1007/s11018-017-1252-x

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

作者: Pashayev A.M.¹, Sadykhov R.A.¹, Habibullayev S.B.¹
隶属关系:
1. National Academy of Aviation of Azerbaijan
期: 卷 60, 编号 7 (2017)
页面: 666-675
栏目: General Problems of Metrology and Measurement Technique
URL: https://journals.rcsi.science/0543-1972/article/view/246217
DOI: https://doi.org/10.1007/s11018-017-1252-x
ID: 246217

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详细

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.