本文对已有的“协因子”算法进行了改进，并构造了二阶有限元双正交多尺度函数。
So, this method is modified in the article, and the finite element biorthogonal multiwavelets are constructed.
基于多尺度函数面具的一种特定形式，提出构造一类具有正交、对称、紧支撑的多尺度函数的方法。
Based on a special form of matrix mask, a method of constructing symmetric orthogonal compactly support is presented.
通过研究MST的性质及与M带多尺度函数的逼近阶的关系，利用MST可以对M带多尺度函数的逼近阶进行提升。
MST has relation to approximation order. One can increase approximation of M-band multiscaling functions with help of MST.
它是运用多尺度分析方法，构造出格点模型的演化方程的局部平衡分布函数。
The local equilibrium distribution function of lattice model evolution equation is constructed by use of multi scale analysis.
论文基于这一思想，从二维平滑函数出发，并根据尺度呈级数变化的特点，导出了一组多尺度小波滤波器。
According to the peculiarity that the scale exhibit progressional variety, this paper deduces a group of multiscale wavelet filter from two dimensions smooth function.
首先，用多尺度法导出弱非线性强迫激励系统的频率响应函数。
Firstly, by means of multiple scale method the frequency response function of weakly nonlinear vibration system is derived.
小波是表示具有点奇异性函数的最优基，它由于具有时-频局部化特点和多尺度特性，在图像处理领域得到了广泛应用。
Wavelet is the best base of functions, with point singularity, and it has wide application in image processing because of its time-frequency localization and multiscale features.
在此基础上研究了利用等式约束与不等式约束的惩罚函数法对平面多杆机构进行尺度最优综合的有关问题。
Some problems of optimum synthesis of planar multi-bar linkages are studied by the penalty function method with equality and inequality constraints.
多尺度几何分析旨在构建最优逼近意义下的高维函数表示方法。
The aim of Multiscale Geometric Analysis is to find a kind of optimal representation of high dimension function in the sense of nonlinear approximation.
该算法充分的利用了B -样条函数在边缘拟合上的优势以及小波方法的多尺度优势，算法的处理结果令人满意。
This algorithm makes good use of the B-Spline functions well performance in edge estimation and wavelets multi-scales character. The experimental results are satisfactory.
结果表明，如果我们想从多尺度分析出发构造正交小波，那么该多尺度分析必须有正交尺度函数。
This result shows that if we want to construct orthonormal wavelets from a multireso- lotion, then that multiresolution must have an orthonormal scaling function.
使用高斯函数的一阶导数作为基本小波，对曲线的方向角函数进行多尺度小波分析得到候选点集，提出了四个筛选规则对候选点集进行逐步筛选得到正确角点集。
Firstly, using the first order derivative of Gaussian function as the base wavelet, the direction Angle function of a planar curve was analyzed on multiple scales to obtain the candidates of corners.
小波理论为有限元方法提供了许多不同的基函数和多尺度分析方法，需要根据具体分析问题进行选择。
Wavelet theory provides various basis functions and multi-resolution methods for finite element method, which will be selected in solving different problems.
曲波变换是一种新的多尺度变换理论，具有各向异性的特征，可以很好地逼近含线奇异的高维函数。
Curvelet is a new multiscale transform theory, which has the characteristics of anisotropy. It can approach a high dimensional function containing line singularity better.
该算法充分的利用了B -样条函数在边缘拟合上的优势以及小波方法的多尺度优势，算法的处理结果令人满意。
This algorithm makes good use of the B-Spline function's well performance in edge estimation and wavelet 's multi-scales character. The experiment results are satisfactory.
该算法充分的利用了B -样条函数在边缘拟合上的优势以及小波方法的多尺度优势，算法的处理结果令人满意。
This algorithm makes good use of the B-Spline function's well performance in edge estimation and wavelet 's multi-scales character. The experiment results are satisfactory.
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