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

Yıl 2018, Cilt: 1 Sayı: 3, 206 - 210, 30.12.2018
https://doi.org/10.33187/jmsm.425068

Öz

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.

Kaynakça

  • [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.
Yıl 2018, Cilt: 1 Sayı: 3, 206 - 210, 30.12.2018
https://doi.org/10.33187/jmsm.425068

Öz

Kaynakça

  • [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.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Hatice Kuşak Samancı

Yayımlanma Tarihi 30 Aralık 2018
Gönderilme Tarihi 18 Mayıs 2018
Kabul Tarihi 18 Temmuz 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 3

Kaynak Göster

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. Aralık 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, sy. 3 (Aralık 2018): 206-10. https://doi.org/10.33187/jmsm.425068.
EndNote Kuşak Samancı H (01 Aralık 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, c. 1, sy. 3, ss. 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 (Aralık 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, c. 1, sy. 3, 2018, ss. 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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