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

作　　者：杨雪 彭兴璇[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁 大连

出　　处：《应用数学进展》2024年第1期234-243,共10页Advances in Applied Mathematics

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。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.

关 键 词：三次T-PH曲线 几何特征 过渡曲线 

分 类 号：G63[文化科学—教育学]