A linear combination of lagrange interpolation polynomial 插值多项式的线性组合
The convergence of interpolation polynomials based on unit roots 基于单位根上插值多项式的收敛性
Estimation of approximation order of lagrange interpolation polynomial after revised 插值多项式的收敛阶的估计
Confluent interpolation polynomial 汇合内插多项式
Research on emile borel ' s work on improving lagrange interpolation polynomial 对波莱尔改进拉格朗日插值公式思想方法的研究
Convergence order of double variate combination trigonometric interpolation polynomials 二元组合型三角插值多项式的收敛阶
The trigonometric interpolation polynomials ' simultaneous approximation of functions and their derivatives 三角插值多项式对函数及其导数的同时逼近
The errors in calculating derivatives for the gll collocation points are evaluated , which can be alleviated from o ( ( n4 ) to o ( ( n2 ) by the double - precision method proposed in the present paper , where ( denotes the machine precision and n the order of the interpolation polynomials in the elements 文中对gll配置点下的求导误差进行了分析,提出的双精度方法可以将求导误差从o ( ( n4 )减小到o ( ( n2 ) ,其中(为机器精度, n为单元内插值多项式阶数。
In the terms of interpolation , the image reconstructed from nearest interpolation or linear interpolation has good edge but serious noise ; reconstruction from 4 * 4cubic interpolation or three b - spline or three - order lagrange interpolations has better local character . 2 x 2cubic interpolations which has both better edge and local character is the ideal interpolation , the following is the basic principle during reconstruction : ( 1 ) the more width of interpolation , the more number of summation and the more order of interpolation polynomial , the higher of density resolution ; ( 2 ) the more of interpolation polynomial and width of interpolation , the more of reconstruction time simultaneously , aimed at eliminating the effects of noise contained in projection data , in this paper , author analysis cause and effects of common artifacts . importantly , discusses convolution back - projection reconstruction algorithm with a shift axis of rotation has been derived for correcting images that acquired with a divergence axis of rotation using the fan beam geometry with an angle - equaled detector 在ct图像重建时,选择有限带宽窗有较好的空间分辨率,三角形窗有较好的密度分辨率,选择余弦窗则使得空间分辨率与密度分辨率的折衷;从窗函数的频谱角度来讲,可以用于图像重建的一个良好的卷积窗函数应该具备以下条件: ( ? )小的3db带宽b ,即最小的主瓣宽度; ( ? )最小的旁瓣最大峰值a ; ( ? )最大的旁瓣峰值衰减速度d ;就内插函数而言,临近点内插与线性内插重建图像噪声大,但有较好的边缘与细节; 4 4三次内插、三次b -样条与四次拉格朗日多项式内插图像平滑,局部特性较好。
A kind of operator of trigonometric interpolation polynomials with bivariate product was constructed based on an equidistant node set , so that the operator could be converged uniformly to bivariate continuous functions with periodicity of 27 on whole plane , and the convergence order of the approximation would be optimal for a body of functions with arbitrary - ordered continuous partial deritives 摘要构造了一类基于等距结点组上的二元三角插值多项式算子,使得该算子在全平面上一致收敛到每个以2为周期的二元连续函数,并且对具有任意阶连续偏导数的函数全体的逼近具有最佳收敛阶。