![](/images/graphics-bg.png)
Surfaces Modelling Using Isotropic Fractional-Rational Curves
Joint Authors
Andrianov, I. V.
Ausheva, Nataliia M.
Olevska, Yuliia B.
Olevskyi, Viktor I.
Source
Journal of Applied Mathematics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-08-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Andrianov, I. V.& Ausheva, Nataliia M.& Olevska, Yuliia B.& Olevskyi, Viktor I.. 2019. Surfaces Modelling Using Isotropic Fractional-Rational Curves. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1168891
Modern Language Association (MLA)
Andrianov, I. V.…[et al.]. Surfaces Modelling Using Isotropic Fractional-Rational Curves. Journal of Applied Mathematics No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1168891
American Medical Association (AMA)
Andrianov, I. V.& Ausheva, Nataliia M.& Olevska, Yuliia B.& Olevskyi, Viktor I.. Surfaces Modelling Using Isotropic Fractional-Rational Curves. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1168891
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168891