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2019 Modeling of Minimal Surface Based on an Isotropic Bezier Curve of Fifth Order
Nataliia Ausheva, Viktor Olevskyi, Yuliia Olevska
J. Geom. Symmetry Phys. 52(none): 1-15 (2019). DOI: 10.7546/jgsp-52-2019-1-15

Abstract

A method is proposed for constructing minimal surfaces based on fifth-order Bezier isotropic curves specified in a vector-parametric form, allowing control of the guide curve and the surface in user mode. The coefficients of the basic quadratic forms were calculated and it was shown that the surfaces would be minimal. An example of a surface constructed by the proposed method is given.

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Nataliia Ausheva. Viktor Olevskyi. Yuliia Olevska. "Modeling of Minimal Surface Based on an Isotropic Bezier Curve of Fifth Order." J. Geom. Symmetry Phys. 52 1 - 15, 2019. https://doi.org/10.7546/jgsp-52-2019-1-15

Information

Published: 2019
First available in Project Euclid: 26 July 2019

zbMATH: 1423.49041
MathSciNet: MR3931267
Digital Object Identifier: 10.7546/jgsp-52-2019-1-15

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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