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1)  bicubic polynomial
双三次多项式
1.
The solution is constructed as the sum of a bilinear polynomial and piecewise bicubic polynomials by Hilbert space spline function methods.
考虑对空间散乱点的一种双三次多项式样条插值,使得插值函数对x与对y的二阶偏导数平方积分极小(带自然边界条件)。
2)  double three multinomial curved surface interpolation
双三次多项式曲面插值
1.
This article simply introduced the spatial interpolation method commonly used at present and detailedly introduced double three multinomial curved surface interpolation and trend surface interpolation in hydrology application.
简单介绍了现在常用的空间插值方法,详细介绍曲面插值中的双三次多项式曲面插值和趋势面插值在水文学上的应用;在解高阶矩阵时,用VB调用MatrixVB,利用MatrixVB强大的数学功能,省时省力地计算出矩阵的系数,完成插值的计算。
3)  cubic polynomial
三次多项式
1.
A human walking pattern was analyzed and researched in detail and the mechanical prototype was known as humanoid special for the leg,thereby a humanoid stable walking pattern during one walking cycle was planned for the bipedal robot based on cubic polynomial algorithm.
根据双足步行机器人具有拟人腿的特点,通过对人体步行样式的分析,采用三次多项式计算方法规划步行机器人在一个完整行走周期里拟人稳态步行模式,分别建立hip、knee和ankle关节在前向模型中的轨迹曲线方程。
2.
To remedy drawbacks identified in the traditional soft and hard threshold for image denoising,this paper presents a new threshold quantization method,which applies cubic polynomial interpolation to a hard threshold to achieve the continuity and differentiability for the new threshold function.
鉴于传统软硬阈值的缺陷,采用一种新型阈值量化方法,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。
3.
The continuity and differentia-bility 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。
4)  Cubic polynomials in several elements
多元三次多项式
5)  biquadratic [英][,baikwɔ'drætik]  [美][,baɪkwɑd'rætɪk]
双二次多项式
1.
Aiming at solving all these issues,this paper suggests the biquadratic interpolation method,which depends on the point\'s location relating to corners and edges of the grid network,only the nearest nine points are needed for each point\'s interpolation.
分析似大地水准面格网插值目前常用的方法,指出基于距离的加权内插方法是存在问题的,它会使曲面畸形、错开、不光滑、不连续,而双线性内插方法会使曲面存在明显的"尖点"和"折痕",这不符合似大地水准面的连续光滑性质,双二次多项式插值方法在拐点插值的情况下,也会出现曲面错开的现象。
6)  cubic polynomial interpolation
三次多项式插值
1.
A cross equivalent curve board model is expounded, and with the help of cubic polynomial interpolation theory, the computer simulation model is developed which reflects the constitutive relation of 3 D woven composite.
提出纱态概念 ,解决了任意结构三维机织预制件的结构表征问题 ,提出了交叉等效曲面板模型 ,借助三次多项式插值原理 ,建立了反映三维机织复合材料本构关系的计算机模拟模型 ,并以试验进行了验证。
补充资料:多项式乘多项式法则
Image:1173836820929048.jpg
多项式乘多项式法则

先用一个多项式的每一项乘以另一个多项式的每一项,再把所得的积相加。

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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