Geophysical Application for Splines

Singh, Dhananjay; Singh, Madhusudan; Zaynidinov, Hakimjon

doi:10.1007/978-981-13-2239-6_7

Cited by 10 publications

(2 citation statements)

References 15 publications

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“…) and S3(xi+2, y) Based on the onevariable cubic spline functions built above, after a certain compression, the following view of the following two-variable interpolation bicubic spline function is formed [4][5][6][7][8]: , y) and S3(xi+2, y) are generated by putting the values of the bicubic spline functions of a variable built above (8) [9,10,11,12,13].…”

Section: Astesj Issn: 2415-6698mentioning

confidence: 99%

Lacol Interpolation Bicubic Spline Method in Digital Processing of Geophysical Signals

Zaynidinov¹,

Bahromov²,

Azimov³

et al. 2021

Adv. sci. technol. eng. syst. j.

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The paper a cubic spline built through a local base spline and the local interpolation bicubic spline models we offer have been selected. The construction details of the models are given, the two-dimensional local interpolation bicubic spline models considered in this study provide high accuracy in digital processing of signals, which helps experts to make the right decision as a result of digital processing of signals. As an example, the initial values of the geophysical signal were digitally processed and error results were obtained. The error results obtained by digital processing of the geophysical signal of the considered models were compared on the basis of numerical and graphical comparisons.

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Section: Astesj Issn: 2415-6698mentioning

confidence: 99%

Lacol Interpolation Bicubic Spline Method in Digital Processing of Geophysical Signals

Zaynidinov¹,

Bahromov²,

Azimov³

et al. 2021

Adv. sci. technol. eng. syst. j.

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“…And the algorithms derived from them require less computation [5]. Existing classical interpolation models, their application in signal recovery and digital processing algorithms are performed depending on the node points [6], [7]. The construction of classical interpolation polynomials is based on the idea of replacing functions with that are closer to it, in a sense, and simpler in structure [8], [9].…”

Section: Introductionmentioning

confidence: 99%

Comparative Analysis Spline Methods in Digital Processing of Signals

Zaynidinov¹,

Bakhromov²,

Bunyod³

et al. 2020

Adv. sci. technol. eng. syst. j.

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In this article, the Grebennikov cubic spline, the Ryabenky cubic spline, and we offer the local interpolation cubic spline models are selected. The construction details of the models were given and the processes of approximating the functions were performed using selected local cubic splines. We can also say that the local interpolation cubic spline models considered in this study provide high accuracy in digital processing of signals, which helps experts to make the right decision as a result of digital processing of signals. For instance, the initial values of the gastroentrological signal were calculated after that they digitally processed, and the error results were taken. Approximation of the considered models and digital processing of the gastroenterological signal by getting error results were specific analyzed comparatively based on numerical and graphical comparisons.

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