Why Flc-Frame is Better than Frenet Frame on Polynomial Space Curves?

Mustafa Dede

EN

Why Flc-Frame is Better than Frenet Frame on Polynomial Space Curves?

Abstract

It is well known that the binormal and normal vectors of Frenet frame rotate around the tangent vector. That is why the Frenet frame is not suitable for some applications such as tube surfaces. However, there is not enough information about why the vectors of the Frenet frame rotate around the tangent vector. In this paper we will deal with this problem. Moreover we show the advantages of Flc-frame over the Frenet frame.

Keywords

Frenet frame, space curve, adapted frame

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Mustafa Dede ^*
0000-0003-2652-637X
Türkiye

Publication Date

December 22, 2022

Submission Date

November 1, 2019

Acceptance Date

December 22, 2022

Published in Issue

Year 2022 Volume: 10 Number: 4

IZ

https://izlik.org/JA46MZ65EC

APA

Dede, M. (2022). Why Flc-Frame is Better than Frenet Frame on Polynomial Space Curves? Mathematical Sciences and Applications E-Notes, 10(4), 190-198. https://izlik.org/JA46MZ65EC

AMA

1.Dede M. Why Flc-Frame is Better than Frenet Frame on Polynomial Space Curves? Math. Sci. Appl. E-Notes. 2022;10(4):190-198. https://izlik.org/JA46MZ65EC

Chicago

Dede, Mustafa. 2022. “Why Flc-Frame Is Better Than Frenet Frame on Polynomial Space Curves?”. Mathematical Sciences and Applications E-Notes 10 (4): 190-98. https://izlik.org/JA46MZ65EC.

EndNote

Dede M (December 1, 2022) Why Flc-Frame is Better than Frenet Frame on Polynomial Space Curves? Mathematical Sciences and Applications E-Notes 10 4 190–198.

IEEE

[1]M. Dede, “Why Flc-Frame is Better than Frenet Frame on Polynomial Space Curves?”, Math. Sci. Appl. E-Notes, vol. 10, no. 4, pp. 190–198, Dec. 2022, [Online]. Available: https://izlik.org/JA46MZ65EC

ISNAD

Dede, Mustafa. “Why Flc-Frame Is Better Than Frenet Frame on Polynomial Space Curves?”. Mathematical Sciences and Applications E-Notes 10/4 (December 1, 2022): 190-198. https://izlik.org/JA46MZ65EC.

JAMA

1.Dede M. Why Flc-Frame is Better than Frenet Frame on Polynomial Space Curves? Math. Sci. Appl. E-Notes. 2022;10:190–198.

MLA

Dede, Mustafa. “Why Flc-Frame Is Better Than Frenet Frame on Polynomial Space Curves?”. Mathematical Sciences and Applications E-Notes, vol. 10, no. 4, Dec. 2022, pp. 190-8, https://izlik.org/JA46MZ65EC.

Vancouver

1.Mustafa Dede. Why Flc-Frame is Better than Frenet Frame on Polynomial Space Curves? Math. Sci. Appl. E-Notes [Internet]. 2022 Dec. 1;10(4):190-8. Available from: https://izlik.org/JA46MZ65EC