计算机工程与应用Issue(18)：161-164,4.DOI:10.3778/j.issn.1002-8331.1310-0013
五次Hermite曲线在电缆路径设计中的应用研究
Research and application of quintic Hermite curves on design of cable paths
摘要
Abstract
The mathematical model satisfying the boundary conditions of the cable path curve segment is established by the quintic Hermite curve. By minimizing the approximate strain energy of Hermite curves, the resulting path curves own better fairness which eliminate the unwanted loops and sharp points as far as possible. Meanwhile the analytical formulas to compute the optimal parameters of path curves are deduced. To provide the theoretical foundation for the maximal cable radius evaluation, the minimal curvature radii of path curves are analyzed and computed further.关键词
Hermite曲线/计算机辅助几何设计/光顺性/优化Key words
Hermite curve/computer aided geometric design/fairness/optimization分类
信息技术与安全科学引用本文复制引用
周培,郭广鑫,李莉,聂蓉梅..五次Hermite曲线在电缆路径设计中的应用研究[J].计算机工程与应用,2015,(18):161-164,4.基金项目
国家部委基础科研项目。 （）
