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Journals / Turkish Journal of Mathematics and Computer Science / 2020 / Cilt: 12 - Sayı: 2

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

Muhsin İNCESU
Hatice KUSAK SAMANCI
Pages
120–127
Publication Date
2022-11-06
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then the N-Bishop curvatures and derivative formulas for quadratics Bezier curve are calculated and give some numeric examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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).
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Key Findings & Data: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).
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Conclusion & Impact:Then the N-Bishop curvatures and derivative formulas for quadratics Bezier curve are calculated and give some numeric examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

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Cite This Article

İNCESU, M., SAMANCI, H. K. (2022). Investigating a Quadratic Bezier Curve Due to N-C-W and N-Bishop Frames. Turkish Journal of Mathematics and Computer Science, Cilt: 12 - Sayı: 2, 120–127. https://ajindex.com/articles/609102

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References (5)

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  2. Floater, M.S., {em Derivatives of rational B'{e}zier curves}, Computer Aided Geometric Design, textbf{9}(3)(1991), 161--174. İncesu, 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. 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).
  3. Marsh, D., Applied geometry for computer graphics and CAD, Springer-Verlag, Berlin, 2005.
  4. Samanci, H. K., Celik, S.,.{I}ncesu, M., {em The Bishop Frame of Bezier Curves}, Life Science Journal, textbf{12}(6)(2015).
  5. Sapidis, N.S., Frey, W.H., {em Controlling the curvature of a quadratic Bezier curve}, Computer Aided Geometric Design, textbf{9}(1992), 85--91. Scofield, P.D., {em Curves of constant precession}, The American mathematical monthly, textbf{102}(6)(1995), 531--537. Uzunou{g}lu, B., G"{o}k,.{I}., Yayli, Y., {em A new approach to curves of constant precession}, Applied Mathematics and Computation, textbf{275}(2016), 317--323. Yi lmaz, S., Turgut, M., {em A new version of Bishop frame and an application to spherical images}, Journal of Mathematical Analysis and Applications, textbf{371}(2)(2010), 764--776. Yi lmaz, S., "{O}zyi lmaz, E., Turgut, M., {em New spherical indicatrices and their characterizations}, An. St. Univ. Ovidius Constanta, textbf{18}(2)(2010), 337--354.