基于函数插值空间场中扰动曲线拟合及其估计  

A Computing and Estimation of a 3D Disturbed Curve in a Field by Function Interpolating

作　　者：吴一刚[1] 

机构地区：[1]北京农学院基础教学部,北京102206

出　　处：《北京农学院学报》2009年第3期73-76,共4页Journal of Beijing University of Agriculture

摘　　要：基于在矢量函数插值,给出了矢量场中三维空间扰动曲线的近似计算公式及其误差估计,同时证明了其收敛性,其结果可用于比如分形、可视化组件、计算机断层扫描图像的着色处理和3D计算机地形地貌插值与显示等方面。An interpolating formula and estimation for approaching calculation of a 3D disturbed curve in a vector field on basis of a vector function interpolating was presented,and its convergence was proven,some of which can be also applied in such fields as coloring algorithm of fractal,visual components and computer tomography graphics,3D computer terrain interpolating and rendering.

关 键 词：数学模型 矢量函数 函数插值 误差估计 

分 类 号：O242.2[理学—计算数学]