摘要
分别运用拉格朗日插值法、最小二乘的三次多项式拟合法和经典三次样条插值法建立了玉米叶片的数学模型,并从收敛性、稳定性、光滑性等方面对三种方法进行了对比分析,通过对所给实例的绘图效果进行比较,指出了拉格朗日插值法、最小二乘的三次多项式拟合法和经典三次样条插值法在描述玉米叶片形态特征的效能上的利弊.
The mathematical model of maize leaves were established by applying Lagrange＇s interpolation, The cubic polynomial quasi-coincidence of Method of least squares and The classic piecewise cubic spine interpolation method. The convergence,smoothness and stability of those models were comparatively analyzed with the drawing effects of some practical examples. The advantage and disadvantage of the efficacy describing the shape of maize leaves were pointed out.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第9期82-91,共10页
Mathematics in Practice and Theory
关键词
数学建模
玉米叶片
插值
静态虚拟
mathematical modeling
maize blades
interpolation
static simulating
