The G2 and C2 rational quadratic trigonometric Bezier curve with two shape parameters with applications
The G2 and C2 rational quadratic trigonometric Bezier curve with two shape parameters with applications
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DOI：
10.1016/j.amc.2013.03.110
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发表时间：
2013-06-15
影响因子：
4
通讯作者：
Ali, Jamaludin Md
中科院分区：
文献类型：
--
作者：
Bashir, Uzma;Abbas, Muhammad;Ali, Jamaludin Md
本文提出了两个形状参数的有理二次三角Bezier曲线，这在文献中是新的。该曲线继承了传统有理二次Bezier曲线的所有几何性质。与传统的Bezier曲线相比，形状参数的存在提供了对曲线形状的更多控制。此外，权重还提供了对曲线的额外控制。形状参数的简单约束是使用端点曲率导出的，因此它们的值始终落在定义的范围内。给出了利用G(2)和C-2连续的两段曲线的合成。新曲线能够精确地表示一些二次曲线，并能最好地逼近传统的有理二次Bezier曲线。(C)2013 Elsevier Inc.保留所有权利。
The rational quadratic trigonometric Bezier curve with two shape parameters is presented in this paper, which is new in literature. The purposed curve inherits all the geometric properties of the traditional rational quadratic Bezier curve. The presence of shape parameters provides a control on the shape of the curve more than that of traditional Bezier curve. Moreover the weight offers an additional control on the curve. Simple constraints for shape parameters are derived using the end points curvature so that their values always fall within the defined range. The composition of two segments of curve using G(2) and C-2 continuity is given. The new curves can accurately represent some conics and best approximates the traditional rational quadratic Bezier curve. (C) 2013 Elsevier Inc. All rights reserved.