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Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, Issue 3, Pages 59–66 (Mi vtpmk21)  

Engineering Geometry and Computer Graphics

On symmetry of projective curves

A. V. Seliverstov

Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute)

Abstract: The known methods to find symmetry for convex ovals have been extended for a new class of plane projective curves, including real cubic curves. The proposed method uses only the description of tangent lines, but does not require the calculation of the curvature. This approach increases the accuracy of the calculations and allows you to use graphical methods. The recognition of symmetrically arranged points allows to coordinate pictures taken from different angles, as we study the symmetry of projective curves. The results can be used to illustrate the methods of descriptive geometry.

Keywords: symmetry, projective curve, descriptive geometry, graphics, pattern recognition.

DOI: https://doi.org/10.26456/vtpmk21

Full text: PDF file (276 kB)
References: PDF file   HTML file

Document Type: Article
UDC: 514.14
Received: 26.04.2016
Revised: 10.08.2016

Citation: A. V. Seliverstov, “On symmetry of projective curves”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, no. 3, 59–66

Citation in format AMSBIB
\Bibitem{Sel16}
\by A.~V.~Seliverstov
\paper On symmetry of projective curves
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2016
\issue 3
\pages 59--66
\mathnet{http://mi.mathnet.ru/vtpmk21}
\crossref{https://doi.org/10.26456/vtpmk21}
\elib{http://elibrary.ru/item.asp?id=27310776}


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