Journal of Applied Mathematics

Surfaces Modelling Using Isotropic Fractional-Rational Curves

Igor V. Andrianov, Nataliia M. Ausheva, Yuliia B. Olevska, and Viktor I. Olevskyi

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The problem of building a smooth surface containing given points or curves is actual due to development of industry and computer technology. Previously used for those purposes, shells of zero Gaussian curvature and minimal surfaces based on isotropic analytic curves are restricted in their consumer properties. To expand the possibilities regarding the shaping of surfaces we propose the method of constructing surfaces based on isotropic fractional-rational curves. The surfaces are built using flat isothermal and orthogonal grids and on the basis of the Weierstrass method. In the latter case, the surfaces are minimal. Examples of surfaces that were built according to the proposed method are given.

Article information

J. Appl. Math., Volume 2019 (2019), Article ID 5072676, 13 pages.

Received: 30 April 2019
Accepted: 11 July 2019
First available in Project Euclid: 19 September 2019

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Andrianov, Igor V.; Ausheva, Nataliia M.; Olevska, Yuliia B.; Olevskyi, Viktor I. Surfaces Modelling Using Isotropic Fractional-Rational Curves. J. Appl. Math. 2019 (2019), Article ID 5072676, 13 pages. doi:10.1155/2019/5072676.

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