查询词典 spline

The constructed algebraic spline curve not only possesses unwanted components and unexpected singular points but also satisfies C^2 continuity.

该算法得到的通近曲线二次代数样条曲线既不会产生多余的分支和不希望的奇异点，又达到整体C^2连续。

Applying multivariate spline theory which was established by Wang RenHong in ( [1] , [2] ), the Nother theorem of algebraic curve [71] is generalized to the piecewise algebraic curve.

1：利用王仁宏在文献（[1]，[2]）中关于多元样条函数的基本理论，本文将代数曲线的Nother定理（[71]）推广到分片代数曲线上，给出了剖分为〓，和星形剖分上的C〓分片Nother型定理。

For a general parametric curve/surface, we usually cannot compute its exact implicit form. Even though its exact implicit form can be computed, the curve/surface implicitization involves relatively complicated computation and the degree is higher. Moreover, it may have unexpected components and self-intersections. All these unsatisfied properties limit the applications of the exact implicitization. So finding curve/surface approximate implicitization has become a practical problem. In this paper, we present an algorithm to solve the approximate implicitization of a given parametric curve by using a quadratic algebraic spline curve.

由于精确隐式化过程不一定可以实现，即使可以实现隐式曲线曲面的阶数高计算复杂，并且具有不希望的自交点和奇异分支，从而限制了隐式化的运用，所以寻求参数曲线曲面的近似隐式化问题成为很实际又重要的问题，提出利用二次代数样条曲线来实现一般平面参数曲线近似隐式化的一种算法。

Given a planar point set,the moving least squaremethod is adopted to denoise and resample it so that the resulting point set is with low noise and uniform sampling density.Then the reliable signed distance field of the preprocessed point set is constructed by using the Level Set method.Finally,an algebraic B-spline function is adopted to fit the signed distance field by solving a linear equation system.

首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云，采用移动最小平方(moving least square，简称MLS)方法对点云去噪、重采样，得到一个低噪音、分布均匀的"线状"点云，再通过Level Set方法建立该"线状"点云的离散几何距离场，最后用一个代数B-样条函数光顺拟合该离散距离场，代数函数的零点集即为重建曲线。

Furthermore, people found that the relationship between intrinsic properties of planar algebraic curves and the singularity ofbivariate spline spaces is m-ore and more important.

尤其是经过近年来的研究，人们发现多元样条空间的奇异性问题与代数曲线的内在性质有着越来越重要的关系。

Applying the techniques of real radical ideal, P-radical ideal , decomposition of semi-algebraic set in ( [72] ), affine Hilbert polynomial and B-net form of polynomials on simplex, this paper obtains two theorems of real C〓 piecewise algebraic variety dimensions and the real Nullstellensatz in C〓 spline ring.

4：应用多项式在单纯形上的B-网形式以及文献（[72]）中的实根理想，锥根理想，半代数簇分解定理，本文得出了实C〓分片代数簇的二个维数定理和C〓样条空间的实零点定理。

First, a program which can be used to obtain the encoder values of each joint D. C. servomotor and then change them into angular position is developed. By means of cubic spline, the angular velocity and angular acceleration are calculated.

本文开发了实时采集和转换机器人各关节的码盘值为角位移的程序，并提出了以三次样条函数求各关节角速度和角加速度的方法，提高了计算精度。

The mesh generation is automatic, and we use the method to generate 10-node or 20-node elements. Because it is hard to mesh for small angularity in the body, especially spline, so we have to simplify these parts.

针对实体结构存在小角度问题给网格划分带来的困难，本文对结构进行了必要的简化，并通过两种简化方式的计算对比，从中选择了较为合理的一种，使计算结果更为准确。

Combining the definition of CWT and the derivative property of convolution, we constructed a general method to calculate the approximate derivative of signal through CWT by using the first and second derivative of Gaussian function, Haar, and the first derivative of three-order-Spline function as wavelets. As compared with the other approaches of calculating derivative, which include the numerical differentiation, polynomial filters, Fourier transform, and the recently proposed DWT method, fast calculation and simple mathematical operation were remarkable advantages of CWT method. For the signal corrupted by severe noise (Signal-toNoise Ratio=5), the satisfactory results could also obtained via CWT method through appropriately adiusting the dilations.

在此基础上，(1)结合连续小波变换的特点和卷积的微分性质，提出了使用Gaussian函数的一阶和二阶导数，Haar和三次样条函数的一阶导数作为小波函数的连续小波变换计算信号近似导数的一般性方法，与其他导数计算方法(包括数字微分法，多项式滤波法，Fourier变换法和离散小波变换法)相比，本法简单便捷，计算速度快，对于噪声含量较高的信号(S/N为5)，只要适当调节尺度即可获得比较满意的结果。

The random spline plays very important role in the approximation and fitting of random function.

随机样条在对随机函数的逼近与拟合中都有重要作用。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。