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

Year 2018, , 206 - 210, 30.12.2018

Hatice Kuşak Samancı

https://doi.org/10.33187/jmsm.425068

Cited By: 3

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] 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] C. D. Boor, On calculating with B-splines, J. Approx. Theory, 6(1) (1972), 50–62.
• [3] G. Farin, Curves and Surfaces for Computer-Aided Geometric Design: A Practical Guide, Elsevier, 2014.
• [4] F. Yamaguchi, Curves and Surfaces in Computer Aided Geometric Design, Springer-Verlag, Berlin, 1988.
• [5] W. J. Gordon, B-spline curves and surfaces, Comput. Aided Geom. Design, (1974), 95–126.
• [6] M. Incesu, O. Gursoy The similarity invariants of integral B-splines, Int. Sci. Conf. Algebr. Geom. Methods Anal., (2017).
• [7] R. Barnhill, R. F. Riesenfeld, Computer aided geometric design, Academic Press.
• [8] P. D. Casteljau, Shape Mathematics and CAD, Kogan Page, London, 1986.
• [9] D. Marsh, Applied Geometry for Computer Graphics and CAD, Springer-Verlag, Berlin, 2005.