CAJ | 학술논문

　　为了精确表示一类超越曲线以及拓展曲线曲面，通过引入形状参数，在双曲函数空间中构造了一类广义Bézier曲线，称其为HC-Bézier曲线，在对三次HC-Bézier基函数及曲线端点特性分析的基础上，提出了三次HC-Bézier曲线的任意分割算法，同时提出了三次HC-Bézier曲线的拼接条件，有效地增强了曲线表达复杂曲线的能力。
　　위료정학표시일류초월곡선이급탁전곡선곡면，통과인입형상삼수，재쌍곡함수공간중구조료일류엄의Bézier곡선，칭기위HC-Bézier곡선，재대삼차HC-Bézier기함수급곡선단점특성분석적기출상，제출료삼차HC-Bézier곡선적임의분할산법，동시제출료삼차HC-Bézier곡선적병접조건，유효지증강료곡선표체복잡곡선적능력。
To accurately represent some transcendental curves ,aiming at extending the representation of curves and surfaces.A family of generalized Bézier curves in the space of hyperbolic functions with a shape parameter was presented ,these curves are called as HC-Bézier curves .This paper presents the subdivision algorithm and connection condition of cubic HC-Bézier curves based on the analysis of HC-Bézier basis functions and terminal properties.The results are useful for the shape modification and representation of HC-Bézier curves.