Quartic Trigonometric Bézier Curves and Surfaces with Shape Parameter
Quartic Trigonometric Bézier Curves and Surfaces with Shape Parameter
复制标题
DOI：
--
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Reenu Sharma
中科院分区：
文献类型：
--
作者：
Reenu Sharma
本文提出了一种新的形状参数为λ的四次三角Bézier曲线，并定义了相应的三角Bézier曲面。这些曲线不仅继承了多项式空间中常用的具有Bernstein基的四次Bézier曲线的大部分性质，而且还具有其他一些用于形状建模的有利性质。形状参数在曲线的设计和形状控制方面提供了自由度。因此，我们可以构造几乎任何形状的光滑曲线。在保持控制多边形不变的情况下，通过改变形状参数的值来调整曲线的形状。这些曲线可以作为CAGD领域中几何设计的一种有效模型。
In this paper a new kind of quartic trigonometric Bézier curve with a shape parameter λ is presented and the corresponding trigonometric Bézier surfaces are defined. These curves not only inherit most properties of the usual quartic Bézier curves with the Bernstein basis in the polynomial space, but also enjoy some other advantageous properties for shape modelling. The shape parameter provides freedom in terms of design and shape control of the curve. Thus we can construct smooth curves of almost any shape. The shape of the curve can be adjusted by altering the values of shape parameter while the control polygon is kept unchanged. These curves can be used as an efficient model for geometric design in the fields of CAGD.