Research Article

Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space

Volume: 1 Number: 3 December 30, 2018
EN

Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space

Abstract

The intention of this article is to study on timelike uniform B-spline curves in Minkowski-3 space. In our paper, we take the control points of uniform B-spline curves as a timelike point in Minkowski-3 space. Then we calculate some geometric elements for this new curve in Minkowski-3 space.

Keywords

Minkowski 3-space,Timelike curve,B-spline curve,Timelike curve

References

  1. [1] I. J. Schoenbergc, Contributions to the problem of approximation of equidistant data by analytic functions, Quart. Appl. Math., 4(1-2) (1946), 45-99, 112-141.
  2. [2] C. D. Boor, On calculating with B-splines, J. Approx. Theory, 6(1) (1972), 50–62.
  3. [3] G. Farin, Curves and Surfaces for Computer-Aided Geometric Design: A Practical Guide, Elsevier, 2014.
  4. [4] F. Yamaguchi, Curves and Surfaces in Computer Aided Geometric Design, Springer-Verlag, Berlin, 1988.
  5. [5] W. J. Gordon, B-spline curves and surfaces, Comput. Aided Geom. Design, (1974), 95–126.
  6. [6] M. Incesu, O. Gursoy The similarity invariants of integral B-splines, Int. Sci. Conf. Algebr. Geom. Methods Anal., (2017).
  7. [7] R. Barnhill, R. F. Riesenfeld, Computer aided geometric design, Academic Press.
  8. [8] P. D. Casteljau, Shape Mathematics and CAD, Kogan Page, London, 1986.
  9. [9] D. Marsh, Applied Geometry for Computer Graphics and CAD, Springer-Verlag, Berlin, 2005.
APA
Kuşak Samancı, H. (2018). Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space. Journal of Mathematical Sciences and Modelling, 1(3), 206-210. https://doi.org/10.33187/jmsm.425068
AMA
1.Kuşak Samancı H. Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space. Journal of Mathematical Sciences and Modelling. 2018;1(3):206-210. doi:10.33187/jmsm.425068
Chicago
Kuşak Samancı, Hatice. 2018. “Introduction to Timelike Uniform B-SplineCurves in Minkowski-3 Space”. Journal of Mathematical Sciences and Modelling 1 (3): 206-10. https://doi.org/10.33187/jmsm.425068.
EndNote
Kuşak Samancı H (December 1, 2018) Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space. Journal of Mathematical Sciences and Modelling 1 3 206–210.
IEEE
[1]H. Kuşak Samancı, “Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space”, Journal of Mathematical Sciences and Modelling, vol. 1, no. 3, pp. 206–210, Dec. 2018, doi: 10.33187/jmsm.425068.
ISNAD
Kuşak Samancı, Hatice. “Introduction to Timelike Uniform B-SplineCurves in Minkowski-3 Space”. Journal of Mathematical Sciences and Modelling 1/3 (December 1, 2018): 206-210. https://doi.org/10.33187/jmsm.425068.
JAMA
1.Kuşak Samancı H. Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space. Journal of Mathematical Sciences and Modelling. 2018;1:206–210.
MLA
Kuşak Samancı, Hatice. “Introduction to Timelike Uniform B-SplineCurves in Minkowski-3 Space”. Journal of Mathematical Sciences and Modelling, vol. 1, no. 3, Dec. 2018, pp. 206-10, doi:10.33187/jmsm.425068.
Vancouver
1.Hatice Kuşak Samancı. Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space. Journal of Mathematical Sciences and Modelling. 2018 Dec. 1;1(3):206-10. doi:10.33187/jmsm.425068