Rotational Surfaces Generated by Cubic Hermitian and Cubic Bezier Curves

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Politeknik Dergisi
Volume:22 Issue:4
Rotational Surfaces Generated by Cubic Hermitian and Cubic Bezier Curves

Rotational Surfaces Generated by Cubic Hermitian and Cubic Bezier Curves

Authors : Hakan GÜNDÜZ, Ahmet KAZAN, HBayram Karadağ

Pages : 1075-1082

Doi:10.2339/politeknik.542825

View : 40 | Download : 12

Publication Date : 2019-12-01

Article Type : Research Paper

Abstract :To tackle the geometric design in adjusting shapes of rotation surfaces, firstly the rotation surfaces have been constructed by using cubic Hermitian and cubic Bezier curves with two local shape parameters. It has been seen that, the new rotational surfaces which have been constructed have a good performance on adjusting their shapes by changing the local shape parameters. Also, the rotational surfaces generated by cubic Hermitian and cubic Bezier curves have provided a valuable way for the design of interesting surfaces. In this context, some characterizations have been given for these rotational surfaces obtaining the mean and Gaussian curvatures of them.
Keywords : Hermitian curves, Bezier curves, rotational surfaces, shape parameter

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