A new planar bezier-like spiral defined by exponential functions and transition curves

Articles > Article · 2021

Authors: Asli Ayar, Bayram ŞAHİN

Proceedings of the institute of Mathematics and Mechanics, Journal Indexed in AHCI, International, Scopus, 2021, vol 47, pp 78-98

Summary

Abstract. In this paper, we first obtain a new spiral curve by using the curve introduced by Zhu-Han [14] under certain restrictions. Then by using this spiral curve, we construct five transition curves which are from a circle to a line, from a circle to a circle with the C-shaped curves, from a circle to a circle with the S-shaped curves, from a line to a line and from a circle to a circle, one circle inside the other.

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