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- W4385560200 abstract "Paper investigates methods for restoring discontinuous functions from different information about it using different information operators. The information operators used are the operators of interpolation and approximation, when information about an object is represented in the form of one-sided values in a given system of points, and interlination, when information is represented in the form of one-sided traces along a given system of lines. The article tests the hypothesis that discontinuous functions should also be approximated by discontinuous structures. Discontinuous interpolation, approximation, and interlinear splines are constructed to approximate the discontinuous function of two variables; theorems on the approximation errors of these splines and their estimation are given. The case when the domain of definition is triangulated by right triangles is considered. A comparative analysis of the developed approximation methods is carried out. The interlination of functions can be widely used in automating the design of aircraft and automobile bodies; in obtaining and processing the results of hydroacoustic and radar studies, in solving problems of computed tomography, in digital signal processing, and in many other fields." @default.
- W4385560200 created "2023-08-04" @default.
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- W4385560200 date "2023-01-01" @default.
- W4385560200 modified "2023-10-03" @default.
- W4385560200 title "Mathematical Modeling of 2D Discontinuous Objects by New Information Operators" @default.
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- W4385560200 doi "https://doi.org/10.1007/978-3-031-40628-7_33" @default.
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