摘要
利用函数值及其一阶导数来构造带形状控制的二次有理三角样条曲线.从理论上详细讨论了该插值曲线格式的值控制及拐点控制,并从最优化角度结合设计目标,给出了拐点位置计算的最优纪方法.实例表明,该曲线格式及优化方法可用于造型设计.
A new quadratic rational trigonometric spline curve with a shape parameter was proposed. The value control and the inflection-point control of the interpolation scheme were discussed in theory. And the optimal methods for calculating the desired inflection-points was proposed, by using optimization theory. Numerical experiments show the interpolation spline and the optimization method can be used in modeling design.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2016年第10期2400-2406,共7页
Journal of System Simulation
基金
国家自然科学基金(61572527
11271376)
中南大学创新驱动计划(2015CXS037)
关键词
有理三角样条
值控制
拐点控制
最优化
rational trigonometric spline
value control
inflection-point control
optimization
