ON RULED SURFACES CONSTRUCTED BY THE EVOLUTION OF A POLYNOMIAL SPACE CURVE
-
Published:2023-03-30
Issue:1
Volume:23
Page:77-90
-
ISSN:2068-3049
-
Container-title:Journal of Science and Arts
-
language:en
-
Short-container-title:J. Sci. Arts
Author:
EREN KEMAL1, AYVACI KEBIRE HILAL2, ŞENYURT SÜLEYMAN2
Affiliation:
1. Sakarya University, Department of Mathematics, 54100 Sakarya, Turkey. 2. Ordu University, Department of Mathematics, 52200 Ordu, Turkey.
Abstract
In this paper, we present the evolutions of the ruled surfaces constructed by the tangent, normal-like, and binormal-like vector fields of a polynomial space curve. These evolutions of the ruled surfaces depend on the evolutions of their directrices using the Flc (Frenet like curve) frame along a polynomial space curve. Therefore, the evolutions of a polynomial curve are expressed in the first step of this study. Then, some geometric properties of the special ruled surfaces are investigated and examples of these surfaces are given and their graphics are drawn using the Mathematica 9 program.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
Subject
General Earth and Planetary Sciences,General Environmental Science
Reference23 articles.
1. Kwon, D.Y., Park, F.C., Chi, D.P., Appl. Math. Lett., 18, 1156, 2005. 2. Kwon, D.Y., Park, F.C., Appl. Math. Lett., 12, 115, 1999. 3. Kass, M., Witkin, A., Terzopoulos, D., Proceeding of 1st Int. Conference on Computer Vision, 1987. 4. Lu, H.Q., Todhunter, J.S., Sze, T.W., CVGIP, Image Underst, 56, 265, 1993. 5. Desbrun, M., Cani-Gascuel, M.P., Proceeding of Graphics Interface-Canadian Information Processing Society,1998.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Translation surfaces generating with some partner curve;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2023-10-23
|
|