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基于Pythagorean Hodograph T-曲线的过渡曲线的构造
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Abstract:
本文基于平面三次T-Bézier曲线，定义了三次T-PH曲线，研究了T-PH曲线的代数和几何特征，进而利用三次T-PH曲线构造了两圆互不包含的情况下的C型过渡曲线，给出圆心距的取值范围，并证明了过渡曲线的唯一性。最后给出数值实例，验证了方法的可行性。
In this paper, we define the cubic T-PH curve and study the algebra and geometric characteristic of T-PH curve. In addition, a non-circle transition curve is constructed as a C-type transition curve us-ing cubic T-PH curve, giving the value range of the center distance, and proving the uniqueness of transition curve. Finally, numerical examples are given to verify the feasibility of the method.
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