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Optimizing a mathematical model of a 3D body surface

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Cybernetics and Systems Analysis Aims and scope

Abstract

A general method is proposed to select the number and arrangement of horizontal and vertical sections of a surface sufficient to describe this surface by splines of two variables with an accuracy sufficient from the technological point of view. An analytical review is given to methods that can be used to solve the problem posed (spline-interpolation, spline-interlineation of functions, R-functions, the theory of polynomial operator interpolation). The results of a computation experiment are presented.

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References

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Authors and Affiliations

  1. Ukrainian Engineering and Pedagogical Academy, Kharkov, Ukraine

    O. N. Litvin & V. A. Pasechnik

Authors
  1. O. N. Litvin
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  2. V. A. Pasechnik
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Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 103–112, January–February 2006.

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Litvin, O.N., Pasechnik, V.A. Optimizing a mathematical model of a 3D body surface. Cybern Syst Anal 42, 90–97 (2006). https://doi.org/10.1007/s10559-006-0041-3

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  • DOI: https://doi.org/10.1007/s10559-006-0041-3

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