查询词典 polynomial approximation

The basis function of nth order trigonometric polynomial T-Bézier with shape parameter is constructed, so that the shape of the constructed curve can be adjusted by changing the parameter value.

给出了n阶带形状参数的三角多项式T-Bézier基函数。

Based on polynomial curve-fitting theory, a Laguerre orthogonal basis feed-forward neural network is constructed.

根据多项式理论，构造了一种以Laguerre正交多项式作为隐层神经元激励函数的前向神经网络模型。

First, orthogonal circle operator was modeled in terms of Zernike orthogonal complex moment; the one-to-one mapping between the edge point and the parameters of the circle was established by the algorithm. Then, quadratic polynomial interpolation was adopted to further locate the edge points in the gradient direction.

首先根据Zernike正交复数矩建立圆物体边缘点与边缘参数之间的映射关系，并提取边缘点；然后利用二次多项式插值在梯度方向上对提取出的边缘点进行进一步定位；最后利用最小二乘法拟合插值后的边缘点，得到亚像素精度的圆参数。

The errors and area limits caused by the lunar curvature were avoided in this model established under the Selenocentric Orthogonal Coordinate System, the accidental errors of exterior line elements were reduced by orbit fitting and interpolation, the polynomial orders of systematic errors in satellite orbits were decreased with their expression in the flying coordinate system moving and rotating with satellites, and the reliability of exterior orientation solution was enhanced under the condition of sparse and low accuracy control points by appending constraint of orbit and attitude parameters.

该模型通过在月心直角坐标系进行影像空中三角测量来消除月球曲率引起的误差和测图范围限制，通过轨道形状的拟合与插值来减小摄影时刻轨道位置的偶然误差，在飞行坐标系中建立轨道修正模型来减少定向参数的数目，对轨道和姿态增加约束条件来提高月面控制点数目稀少及精度低条件下外方位解算的精度与可靠性。

To compensate for nonlinear distortion of RF power amplifiers, a novel adaptive digital predistortion method based on piecewise polynomial was proposed, and multiple lower-odd-order-only polynomials in the form of orthogonal coordinates were used for predistorter design.

为补偿RF功率放大器的非线性失真，提出一种新的基于分段多项式的自适应数字预失真方法，使用多个直角坐标形式的低阶奇次多项式设计预失真器。

GPS ; broadcast ephemeris ; satellite coordinates ; orthogonal polynomial ; curve-fitting

GPS ；广播星历；卫星坐标；正交多项式；拟合

To avoid the present of pseudo-wave caused by the discretization of near-surface layer, an orthogonal polynomial expansion method has been developed to study the acoustic waves propagating in metals with continuous changes of near-surface elastic properties.

用一个适当阶数的多项式来表示表面层的弹性性质沿厚度方向的空间分布，这能够很好的反映其表面性质到未受影响下层性质的连续分布。

This algorithm is to use orthogonal polynomials to seek least-squares polynomial fitting.

详细说明：该算法是用正交多项式来求最小二乘拟合多项式。

Compare the complexity and precision of the polynomial method and orthogonal polynomials method used in geometrical adjustment, an experiment is made; some surface fitting method used in spatial co-registration of multiresolution image are studied and experiments are made to show their different in effects; in order to increase the spectral inherit, we make a histogram match in images to be fused.

比较了图像几何校正的多项式方法和正交多项式方法在复杂度与精度上的差异，进行了仿真实验；研究了不同插值技术在图像配准中的应用，对不同插值方法的效果进行了比较，给出了示意图；为消除图像灰度级不匹配对融合结果的影响，对待融合图像的灰度直方图进行了匹配处理。

As to nonparametric and semiparametric regression models, the most widely used regression methods include: local smoothness, including Nadaraya-Watson kernel estimate, Gasser-Muller estimate, local polynomial method; spline method(such as smoothing spline, spline penalies and so on); other is orthogonal series estimates, such as Fourier series and so on.

本文主要介绍Nadaraya-Watson核估计方法对非参数模型估计的思路和估计方法，变系数模型中函数系数的局部多项式估计，包括估计思路，估计计算。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！