插值多项式

This paper discussed some unsolved problems of traditional multivariate polynomial interpolation problems with constructive algebraic geometry methods.

本文利用构造性代数几何方法研究传统多元多项式插值问题中的一些遗留问题。

We researched the problem of Lagrange interpolation of polynomial space on the algebraic manifold.

研究高维空间中代数流形上多项式空间的Lagrange插值问题。

These curves contain a shape parameter which can adjust the softness of curve and have the same continuity with the original B-spline. In succession, using the positive conditions of Bernstein polynomial to find a range in which the shape parameter takes its value so as to make the corresponding interpolating curves monotonicity-preserving and C~2 continuous.

利用奇异混合的思想构造出一类带有形状参数的多项式样条曲线，即均匀α-B样条曲线，在无需反求方程组、迭代过程和最值求解的情况下就能轻松做到插值给定的点列；它含有形状参数α，这就增加了曲线的柔性，同时又和原B样条曲线具有相同的参数连续性。

The present paper applies the quadratic splines to the Chemical Engigeering calculations for integration, interpolation and differentiation with good precision.

在样条函数的研究和应用日益广泛的今天，作者将人们所忽视的二次多项式样条函数引用到化工计算中的插值，求积和求导等方面，取得良好的结果。

This is an untouched measuring way. The cameras are calibrated in the way of RAC two steps, first. With the polynomial interpolation, the pictures catched from the steel plate are treated to detect the edge in subpixel with a cross window arithmetic operators, which can fit non uniform illumination, keep the edge character and do filter in a better way. Three-dimensional scenery could be rebuilt from the two-dimensional pictures with the methods of least square fitting and contradictorily clairvoyance. Thus, the distance and its variance of two points in the given position of the plate can be achieved. It is expected that this study can provide a new and useful tool to the research on the theory of distortion of line heating.

这种非接触的测量方式，采用RAC两步法对摄像机进行标定，然后对采集到的钢板图像进行分析处理，通过多项式插值的方法，采用具有保持边缘特征和滤波功能，且能适应非均匀照明的十字窗图像边缘检测算子进行象素级边缘检测，再用最小二乘拟合法和逆透视法对二维图像进行三维重建，便可测出钢板上给定点的距离及其变化值，以期为水火弯板的变形机理研究提供一种新的检测手段。

The continuity and differentiability are achieved by using cubic polynomial interpolation based on hard thresholding.

用三次多项式在硬阈值的基础上插值，使新的阈值函数保持了连续性和可导性。

The main purpose of this work is to develop the spectral methods associated with some orthogonal systems of polynomials in unbounded domains.

本文正是在这样的背景下提出了无界区域中的谱方法。这种解法是与无界区域中的正交多项式密切相关的。我们的研究由以下几部分组成：第二章，建立了Hermite多项式插值逼近。

Two methods are given for generating three-dimensional boundary-conforming grids perpendicular to the boundary. The one is the polynomial interpolation method. Some coefficients of the polynomial are determined by the perpendicularity of the grids to the boundary.

提出了两种生成三维贴体与边界正交网格的方法，第一种方法是多项式插值方法，多项式中的某些待定参数由网格与边界正交来确定。

Highly precise quadra order non-linear formula is set up, which gives the satisfactory density value of highly pure aluminum (99.999~99.99999 %) at 20 oC.Linear approximate formula for the density calculation of 99.75% primary aluminum (molten point in the range of 658.7℃～1100℃) derived f...

以Jagrangian插值的二次多项式和一次多项式导出的 99.75 %原铝(熔点 6 5 8.7℃～ 1 1 0 0℃)的密度计算的线性近似式、该式子较文献〔1〕所述的还要简单，而数值计算结果却高度吻合。

In this paper, a simple interpolation method using quartic polynomials to fill in the missing projections is presented. The clipping on the pixel values of the reconstructed image is also proposed.

为了消除这种金属伪影，提出了一种用四次多项式来对缺失的投影值进行插值，并对重构的图象进行值裁剪的方法。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。