Rotational Surfaces Generated by Cubic Hermitian and Cubic Bezier Curves

Yıl 2019, Cilt: 22 Sayı: 4, 1075 - 1082, 01.12.2019

Hakan Gündüz Ahmet Kazan H.Bayram Karadağ

https://doi.org/10.2339/politeknik.542825

Cited By: 3

Öz

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.

Anahtar Kelimeler

Hermitian curves, Bezier curves, rotational surfaces, shape parameter

Rotational Surfaces Generated by Cubic Hermitian and Cubic Bezier Curves

Öz

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.

Anahtar Kelimeler

Hermitian curves, Bezier curves, rotational surfaces, shape parameter

Kaynakça

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