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In this paper, we have analyzed the image processing of fingerprint images which are based on wavelets transforms.

本论文对指纹图像基于小波变换的各种处理进行了分析、总结。

This paper proposes s new method to construct wavelets decomposing and reconstructing matrices of wavelet coefficients without iterative calculation in symmetrical extension for finite length signal ,and correspondingly gives the base vectors and basis images of 9/7 wavelet. The matrices can be used for image-partition processing based on wavelet method.

给出了对称延拓方式下有限长信号不需逐级计算而直接得到小波系数的分解矩阵和由这些小波系数重构原信号的重构矩阵的构造方法,并给出了常用的相应于9/7小波的分解矩阵和重构矩阵及其基向量,它们可广泛用于基于小波的图像分块处理中。

Any function on an interval will be expanded as the sum of finite items of the scaling functions and wavelets. It plays an important role for numerical analysis of partial differential equations, signal processes, and other similar problems.

于是,任何有限区间上的函数皆可表示为该区间上的尺度函数和小波函数的有限和,即小波级数,这克服了用无穷区间上的小波进行有限信号处理时,在边界上误差较大的不足,同时将该小波用于偏微分方程具有同样重要的意义。

For the solar radiation model, the error of Wu-model during the expansion of Fourier series is modified. Based on Mallat algorithm and Daubechies-type wavelets, a new wavelet transform model is presented for continuous solar radiation.

在太阳能辐射模型研究方面,对吴赣昌模型进行了修正,并基于Mallat算法和Daubechies系列小波,建立了连续太阳能辐射的小波变换模型。

This paper is composed of the algorithm design of dual-tree binary coefficients complex wavelets,MGM algorithm for linear systems that can be diagonalized by generalized discrete Fourier transform and type-II discrete sine transform matrices, wavelet and MGM algorithms for Toeplitz systems and their applications in signal and image processing.

本文以多进制小波与对偶树二进制系数复数小波算法设计、三角变换对角化系统MGM算法、Topelitz系统的小波与MGM结合算法作为理论主线,以对偶树复数小波与扩散方程方法结合的图像去噪,信号与恢复作为应用背景展开讨论。

Three sets of continuous wavelets are constructed for the filtering processing of airborne gravimetry data.

构造三类连续小波函数对航空重力测量数据进行小波滤波处理。

This code compress the image using wavelets. Both gray scale and RGB images can be applied and some

这个代码使用小波变换压缩图像,灰色的和RGB色的图像都可以被压缩。

Because both harmonic wavelets and scaling function have the simple structure, and the simple and fast algorithm, it has great capacity of extracting characteristic signals.

谐波小波函数和尺度函数具有清晰明确的解析表达形式及简单快速的算法,在信号提纯与特征提取中具有极大的应用价值及广阔的应用前景。

Under this situation, the wavelets application in reverse engineering was studied in this thesis.

在此背景下本文对小波技术在反求工程中的应用进行了研究。

Then we have compared the directional characteristic of the basic wavelets; according to the property of impulse function, we have simplified the formula of inverse transformation.

针对二维信号处理中的波场分离,引入了方向性小波的概念,将其用于信号波场分离,对比了三种基本小波的方向特性;根据函数的性质,提出更为简单的二维连续小波反变换公式。

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