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Modeling Function Domain for Curves Constructed Based on a Linear Combination of Basis Bernstein Polynomials

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Abstract

The paper is devoted to designing an automated algorithm for modeling the function domain of spline curves that is needed for developing tools for R-functional and voxel-functional construction of geometric models of complex shape. Mathematical approaches to solving this problem are discussed. The parametric dependence of a spline on the function domain is investigated. An automated algorithm for constructing the function domain of a spline curve based on a linear combination of the basis Bernstein polynomials is described.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 117997, Moscow, Russia

    A. V. Tolok & N. B. Tolok

  2. Moscow State Technology University “Stankin”, 127055, Moscow, Russia

    M. A. Loktev

Authors
  1. A. V. Tolok
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  2. N. B. Tolok
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  3. M. A. Loktev
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Corresponding authors

Correspondence to A. V. Tolok, N. B. Tolok or M. A. Loktev.

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Translated by A. Klimontovich

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Tolok, A.V., Tolok, N.B. & Loktev, M.A. Modeling Function Domain for Curves Constructed Based on a Linear Combination of Basis Bernstein Polynomials. Program Comput Soft 44, 526–532 (2018). https://doi.org/10.1134/S0361768819010079

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  • DOI: https://doi.org/10.1134/S0361768819010079

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