渭南师范学院学报2017，Vol.32Issue(8)：16-20,5.
应变能最小的保形有理四次样条插值曲线
Shape Preserving Rational Quartic Spline Interpolation Curve of Minimum Strain Energy
摘要
Abstract
In order to obtain the most fairing shape preserving rational quartic spline interpolation curve,an optimization model is established,with the shape control parameters and the derivative of the interpolation function at the nodes being decision variables,the minimum strain energy of the interpolation curve being the objective function,and the interpolation function for monotony as well as the shape control parameters and the derivative of the node greater than zero being the constraint conditions.The shape preserving rational quartic spline interpolation curve with minimum strain energy is obtained based on the optimization model.The numerical examples are given to show that the new method can obtain fairing interpolation curve.关键词
有理四次样条插值/保形/应变能/最优化Key words
rational quartic spline interpolation/shape preserving/strain energy/optimization分类
数理科学引用本文复制引用
张澜,赵前进..应变能最小的保形有理四次样条插值曲线[J].渭南师范学院学报,2017,32(8):16-20,5.基金项目
国家自然科学基金项目:有理插值新方法及其在三维数字模型信息保护中的应用研究(60973050) （60973050）
安徽省教育厅自然科学基金项目:有理插值新方法及其应用研究(KJ2009A50) （KJ2009A50）
