摘要
基于最小二乘法 ,采用非均匀单参三次 B样条函数 ,实现了自由曲线离散数据最小逼近误差数学模型的建立 .针对建立的自由曲线拟合数学模型 ,提出了基于等弦高法的非等距拟合节点选择方法 ,大大降低了逼近误差 .
WT5”BZ]Based on the least approximate method,a new mathematical modeling method is established for free form curves from the discrete sampling data,using one parameter cubic non uniform B splines.The approximate error of this method is the least.A new selection method of non uniform fitting points,based on the method of the equal chordal height between two fitting points of curves,is developed.It is proved that the approximate error of the mathematical fitting model of free form curves,based on the new selection method of non uniform fitting points,is greatly reduced.
出处
《天津大学学报（自然科学与工程技术版）》
EI
CAS
CSCD
北大核心
2001年第3期285-288,共4页
Journal of Tianjin University：Science and Technology
基金
国家 8 63高科技计划资助项目!(863- 51 1 - 942 - 0 2 4 )
