机构:
Jiangxi Univ Sci & Technol, Coll Sci, Ganzhou 341000, Peoples R ChinaJiangxi Univ Sci & Technol, Coll Sci, Ganzhou 341000, Peoples R China
Ma, Leting
[1
]
Sun, Yuan
论文数: 0引用数: 0
h-index: 0
机构:
Jiangxi Univ Sci & Technol, Coll Sci, Ganzhou 341000, Peoples R ChinaJiangxi Univ Sci & Technol, Coll Sci, Ganzhou 341000, Peoples R China
Sun, Yuan
[1
]
Yang, Huogen
论文数: 0引用数: 0
h-index: 0
机构:
Jiangxi Univ Sci & Technol, Coll Sci, Ganzhou 341000, Peoples R ChinaJiangxi Univ Sci & Technol, Coll Sci, Ganzhou 341000, Peoples R China
Yang, Huogen
[1
]
机构:
[1] Jiangxi Univ Sci & Technol, Coll Sci, Ganzhou 341000, Peoples R China
来源:
2024 5TH INTERNATIONAL CONFERENCE ON COMPUTER ENGINEERING AND APPLICATION, ICCEA 2024
|
2024年
基金:
中国国家自然科学基金;
关键词:
shape parameters;
De Casteljau algorithms;
subdivision algorithm;
D O I:
10.1109/ICCEA62105.2024.10604147
中图分类号:
TP39 [计算机的应用];
学科分类号:
081203 ;
0835 ;
摘要:
Splines with shape parameters have stronger expression ability than the traditional splines. In this paper, a alpha ss-Bezier curve with shape parameters are studied. A necessary condition for obtaining subdivision algorithms based on De Casteljau algorithm for general parameter curves is given. Under this condition, it was verified that the alpha ss-Bezier curve cannot calculate the control points of the subdivided sub-curves through De Casteljau algorithm. The alpha ss-Bezier curve subdivision algorithm was provided by the mutual transformation relationship between the alpha ss-Bezier curve and the classical Bezier curve. The two sub-curves are defined by the two sets of control points obtained through the subdivision algorithm and alpha ss-Bezier basis functions. The algorithm is simple, intuitive, and easy to operate. Calculation examples also demonstrate the feasibility and effectiveness of the algorithm.