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Besides, as to inpainting problem in wavelet domain, we introduce a new iterative model. In this model low frequency and high frequency will carry on processing separately, enormous speed up the image repair convergence rate, and even if as high as 90% wavelet coefficient have been lost, this model will also be able to have the very good repair effect. In the old model, to compute the curvature we have to transform the coefficients to the pixel domain, and then transform back to the coefficient domain for several times and this method can solve this problem and speed up the iterative convergence.

其次针对小波域中图像修复的问题，本文提出了一种新的小波域图像修复模型，该模型根据小波变换后系数相关性的特点，将低频和高频分别进行处理，极大的加快了图像修复的收敛速度，并且即使丢失高达90%的小波系数，该模型也会有很好的修复效果，有效的解决了传统的TV- Wavelet模型在计算图像的平均曲率WCURV时，需要反复进行小波分解与重构的计算，迭代速度慢的问题。

The conventional Hough transform can only count the number of feature points which are collinear, and can't record the end points of a line segment and its length. Thereby, this paper present an improved Hough transform to overcome these two shortcomings. The algorithm is parallelized and implemented in MCC. What's more, we give a parallel algorithm to identify and eliminate overlapping line segments. These advantages are very useful in the real applications.

本文针对传统Hough变换只能统计直线上黑色象素个数，不能记录线段的两端点坐标及长度的缺点，介绍了一种改进Hough变换算法，并在网孔处理机阵列中实现，还给出了能够识别并消除重复线段的并行算法，这些在实际问题中是很有用的。

Results showed the wavelet transform is a more efficient method in comparison with Fourier transform.

结果表明，小波变换的分析方法较传统的傅立叶变换更为有效。

It is found and emphasized in the paper that the complete form of differential and integral characteristic theorem automatically incorporates the shift properties in both the frequency and time domains, as well as other important properties of Fourier transform, and so it plays an important role in Fourier transform.

并强调了完整形式的微积特性定理自动地包括了Fourier变换的"频移特性"、"时延特性"等其它的重要特性，因此它在Fourier变换中具有基本的重要意义。关键词：Fourier变换微积特性，Fourier变换的极限定义式，冲激型广义函数，频移特性等

Length of Fourier transform is connected with curve resolution. Curve resolution is lower, window length of Fourier transform is narrower.

为截取最强地层响应信号，选取Fourier变换窗函数，窗长与曲线原始分辨率有关，分辨率越低的曲线窗长越大。

Time domain signal is continuous signal, with continuous time Fourier transform as discrete signals, discrete-time Fourier transform.

当时域信号为连续信号时，用连续时间傅里叶变换；为离散信号时，用离散时间傅里叶变换。

Convex body; star body; cross i-section; Firey projection; Radon transform; Fourier transform of distribution; generalized intersection body; dual mixed volume; embedding in L_p

基础科学，数学，几何、拓扑凸体；星体； i-维中心截面； Radon变换；分布的Fourier变换；广义截面体；对偶混合体积；等距嵌入L_p

According to induced response method, the expression in frequency domain of pressure response at the end of pipeline is derived using impulse response method and convolution theorem. The expression indicates that that transfer function is only related to the characteristics of pipeline system and the Fourier transform of flow variable only depends on the operating characteristics, and the pressure response in frequency domain is linear with the Fourier transform of flow variable.

基于激励响应法，应用脉冲响应方法和卷积定理得出了管道末端压力响应在频域中的表达式，此式表明：传递函数只与系统的特性相关，流量变量的傅立叶变换只与操作特性相关，且压力频域响应与流量变量的傅立叶变换为线形关系，根据此式在理论上能够得到管道泄漏点的重要信息。

In this paper a method based on discrete wavelet transform and discrete cosine transform is presented to compress color image.

中文摘要：本文给出了一种基于离散小波变换和离散余弦变换的彩色图像压缩方法。

Prepared by the images of discrete cosine transform and wavelet transform the source code can run.

Visual C++编写的图像的离散余弦变换和小波变换的源代码，可直接运行。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。