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

Year 2018, Volume: 1 Issue: 3, 206 - 210, 30.12.2018
https://doi.org/10.33187/jmsm.425068

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.

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.
Year 2018, Volume: 1 Issue: 3, 206 - 210, 30.12.2018
https://doi.org/10.33187/jmsm.425068

Abstract

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.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Hatice Kuşak Samancı

Publication Date December 30, 2018
Submission Date May 18, 2018
Acceptance Date July 18, 2018
Published in Issue Year 2018 Volume: 1 Issue: 3

Cite

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 Kuşak Samancı H. Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space. Journal of Mathematical Sciences and Modelling. December 2018;1(3):206-210. doi:10.33187/jmsm.425068
Chicago Kuşak Samancı, Hatice. “Introduction to Timelike Uniform B-SplineCurves in Minkowski-3 Space”. Journal of Mathematical Sciences and Modelling 1, no. 3 (December 2018): 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 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, 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 2018), 206-210. https://doi.org/10.33187/jmsm.425068.
JAMA 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, 2018, pp. 206-10, doi:10.33187/jmsm.425068.
Vancouver Kuşak Samancı H. Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space. Journal of Mathematical Sciences and Modelling. 2018;1(3):206-10.

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