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Using wavelet transformation technology, singular value decomposition technology and good characteristics of Morlet wavelet in time domain and frequency domain, a de-noising method based on optimal Morlet wavelet and singular value decomposition is put forward.

利用小波变换技术、奇异值分解技术和Morlet小波良好的时域和频域特性，提出了基于最优Morlet小波和SVD的滤波消噪方法。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesn't calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesnt calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

By selecting perceptible YUV colour space, the tensor product of multi-resolution-analysis was substituted for the tensor product of the wavelet function to build up the two dimensional Mallat algorithm to implement the fast wavelet transform, according to wavelet analytical theory.

选择了感知性强的YUV色彩空间，根据小波理论用多分辨分析的张量积代替小波函数的张量积，建立了二维的Mallat算法以实现快速小波变换。

A novel multidimensional radial wavelet is constructed based on the framework. It is inseparable, compactly supported and infinitely differentiable, which is different from tensor product wavelet and has been successfully applied to edge detection and adaptive filtering using wavelet networks.

Daubechies结论的一个崭新例子，也是前所未有的，而且这些具体的高维小波在快速边缘检测以及自适应小波网络滤噪方面的应用都获得了极大的成功，因此，在高维小波分析的应用方面可以填补空白。

Lifting wavelet transform algorithms, wavelet filter used to complete the image wavelet transform, examined a total image and video ...

提升小波变换算法，采用CDF97小波完成图像的小波变换，共研究图像和视频处理的朋友参考。

The optimal thresholds and neighboring window sizes are determined for every subband in the wavelet domain using Stein's unbiased risk estimate, and NeighShrink is also extended from orthogonal wavelet transforms to dual-tree complex wavelet transforms in this paper.

该文运用Stein的无偏风险估计，在小波域每一个子带为NeighShrink方法确定一个最优的阈值和邻域窗口，并将NeighShrink方法从正交的小波变换推广到对偶树复数小波变换。

The shift-variant property of the wavelet transform and three-dimension wavelet transform are also discussed in the thesis. And simulation experiment has been made exploringly for the motion estimation using Low-Band-Shift method aim at overcoming the temporal variance of the wavelet transform.

论文还对利用三维小波变换进行视频编码以及小波变换存在的移变性进行了分析讨论，并介绍了克服这种移变性的低子带位移运动估计的方法，探索性地进行了计算机仿真。

In this paper, we define quadratic spline as wavelet, do the two dimentional dyadic wavelet transform on near-infrared galactophore image, and get local modulus maxima from wavelet transforms results----rnodulus and angles, so we can find the blood vessel edge image in each scales, at last, we compute a good edge image which synthesize the characters in each scale.

本文中用二次样条小波作为小波基函数，对乳腺近红外图像进行二维二进小波变换，计算小波变换结果的局部模极大值点，得到各个尺度下的乳腺近红外图像血管的边缘，最后得到综合了各个尺度特征的较好的血管图像的边缘。

Wavelet transform is introduced into the study of scene matching. The first application is to reduce speckle noise in SAR images and the other one is using wavelet_based multiresolution analysis in hierarchical matching. A new nonlinear wavelet transform-morphologic Harr wavelet transform, which suit for hardware realization is presented for matching application.

3将小波变换引入到景象匹配研究之中，研究了两个方面的问题：一是SAR雷达图象的斑点噪声的抑制问题，二是将多分辨分析的思想引入到分层匹配之中，并提出了一种适合于硬件实现的非线性小波—形态学Harr小波变换。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。