The least square polynomial Q n ( x) is introduced, and an interpolation polynomial for function is made with its zeros as nodes, and a kind of quadrature formula for singular integrals is obtained. The Gauss type quadrature formula is its special form. 引进最小二乘多项式簇{Qn(x)},由Qn(x)的零点出发作插值多项式,得到了奇异积分的一类求积公式,它的特殊形式为Gauss型求积公式。
The ( m, n)-threshold scheme, which is constructed on polynomial equation over finite field ( based on LaGrange interpolation formula), is secure as one-time pad's. 加密方案利用有限域中的多项式方程(基于LaGrange插值公式)来构造(m,n)-门限方案,该门限方案和一次一密乱码本一样安全。
A improved subpixel edge detecting algorithm based on polynomial interpolation, masks and calculating formulae is introduced, the error cause of the operator is analyzed, and the error formula is derived. 介绍了一种基于多项式插值法的改进的亚像素细分算法及相应计算模板和公式,并对算法的误差进行了分析。
In this paper, we give the cube iterative interpolation formula that can be applied to the multi-variate polynomial interpolation in R3. This formula can be considered one of the generalizations of the Aitken interpolation formula that has been applied to the one-dimension interpolation. 给出了可被应用于R3中多元多项式插值的立方体迭代插值公式,此公式可看作是应用于一元插值的Aitken插值公式的一种推广。
Based on the fuzzy Lagrange polynomial interpolation, we introduce the fuzzy New-ton interpolation formula and it's suitability theorem, Also, we give a method for com-puting the Newton interpolation polynomial. 本文在模糊Lagrange插值的基础上,引进了模糊牛顿插值公式及其适定性定理和求法。
Key generation method based on Lagrange polynomial interpolation formula 基于拉格朗日多项式插值法的密钥产生方案
Barycentric interpolation formula has excellent numerical stability, and barycentric interpolation polynomial can be machine-precision approximation of an arbitrary smooth function. Barycentric Lagrange interpolation can be obtained by rewriting Lagrange interpolation formula into barycentric formula. 重心插值公式具有极好的数值稳定性,重心插值多项式可以以机器精度逼近任意光滑函数,将Lagrange插值公式改写成重心型公式,得到重心Lagrange插值。