| 1. | A linear combination of lagrange interpolation polynomial
插值多项式的线性组合 |
| 2. | The convergence of interpolation polynomials based on unit roots
基于单位根上插值多项式的收敛性 |
| 3. | Estimation of approximation order of lagrange interpolation polynomial after revised
插值多项式的收敛阶的估计 |
| 4. | Confluent interpolation polynomial
汇合内插多项式 |
| 5. | 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 |
| 6. | 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 |
| 7. | 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 |
| 8. | 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。 |
| 9. | 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。 |
| 10. | 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。 |
