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Rotational Surfaces Generated by Cubic Hermitian and Cubic Bezier Curves
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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.
Title: Rotational Surfaces Generated by Cubic Hermitian and Cubic Bezier Curves
Description:
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.
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