Research Article

Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames

Volume: 12 Number: 2 December 31, 2020
EN

Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames

Abstract

The purpose of our paper is to investigate N-Bishop frame of the quadratic Bezier curve which is one of the effective methods for computer-aided geometric design (CAGD). Then the N-Bishop curvatures and derivative formulas for quadratics Bezier curve are calculated and give some numeric examples.

Keywords

References

  1. Bishop, R. L. {\em There is more than one way to frame a curve}, The American Mathematical Monthly, \textbf{82}(3)(1975), 246--251.
  2. Farin, G., A history of curves and surfaces, Handbook of Computer Aided Geometric Design, 2002.
  3. Floater, M.S., {\em Derivatives of rational B\'{e}zier curves}, Computer Aided Geometric Design, \textbf{9}(3)(1991), 161--174.
  4. \.{I}ncesu, M., G\"{u}rsoy, O., {\em The principal forms and curvatures on Bezier curves}, XVII National Mathematics Symposium, Abant \.{I}zzet Baysal University, (2004), 146--157.
  5. Keskin, O., Yayli, Y., {\em An application of N-Bishop frame to spherical im-ages for direction curves}, International Journal of Geometric Methods in Modern Physics, \textbf{14}(11)(2017).
  6. Marsh, D., Applied geometry for computer graphics and CAD, Springer-Verlag, Berlin, 2005.
  7. Samanci, H. K., Celik, S., \.{I}ncesu, M. , {\em The Bishop Frame of Bezier Curves}, Life Science Journal, \textbf{12}(6)(2015).
  8. Sapidis, N.S., Frey, W.H., {\em Controlling the curvature of a quadratic Bezier curve}, Computer Aided Geometric Design, \textbf{9}(1992), 85--91.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2020

Submission Date

March 16, 2020

Acceptance Date

October 29, 2020

Published in Issue

Year 2020 Volume: 12 Number: 2

APA
Kusak Samancı, H., & İncesu, M. (2020). Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames. Turkish Journal of Mathematics and Computer Science, 12(2), 120-127. https://doi.org/10.47000/tjmcs.704794
AMA
1.Kusak Samancı H, İncesu M. Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames. TJMCS. 2020;12(2):120-127. doi:10.47000/tjmcs.704794
Chicago
Kusak Samancı, Hatice, and Muhsin İncesu. 2020. “Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames”. Turkish Journal of Mathematics and Computer Science 12 (2): 120-27. https://doi.org/10.47000/tjmcs.704794.
EndNote
Kusak Samancı H, İncesu M (December 1, 2020) Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames. Turkish Journal of Mathematics and Computer Science 12 2 120–127.
IEEE
[1]H. Kusak Samancı and M. İncesu, “Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames”, TJMCS, vol. 12, no. 2, pp. 120–127, Dec. 2020, doi: 10.47000/tjmcs.704794.
ISNAD
Kusak Samancı, Hatice - İncesu, Muhsin. “Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames”. Turkish Journal of Mathematics and Computer Science 12/2 (December 1, 2020): 120-127. https://doi.org/10.47000/tjmcs.704794.
JAMA
1.Kusak Samancı H, İncesu M. Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames. TJMCS. 2020;12:120–127.
MLA
Kusak Samancı, Hatice, and Muhsin İncesu. “Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames”. Turkish Journal of Mathematics and Computer Science, vol. 12, no. 2, Dec. 2020, pp. 120-7, doi:10.47000/tjmcs.704794.
Vancouver
1.Hatice Kusak Samancı, Muhsin İncesu. Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames. TJMCS. 2020 Dec. 1;12(2):120-7. doi:10.47000/tjmcs.704794

Cited By