基于Pythagorean Hodograph T-曲线的过渡曲线的构造
Construction of Transition Curve Based on Pythagorean Hodograph T-Curve
DOI: 10.12677/AAM.2024.131026, PDF,   
作者: 杨 雪, 彭兴璇*：辽宁师范大学数学学院，辽宁 大连
关键词: 三次T-PH曲线；几何特征；过渡曲线；Cubic T-PH Curve； Geometric Characteristic； Transition Curve
摘要: 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。
Abstract: 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.
文章引用：杨雪, 彭兴璇. 基于Pythagorean Hodograph T-曲线的过渡曲线的构造[J]. 应用数学进展, 2024, 13(1): 234-243. https://doi.org/10.12677/AAM.2024.131026

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