淮南师范学院2012届本科毕业论文

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目 录

摘要 ................................................................................................................................. 1

ABSTRACT ................................................................................................................... 3

前言 ................................................................................................................................. 3

1概述 .............................................................................................................................. 3

1.1研究背景 .............................................................................................................. 3

1.2研究内容 .............................................................................................................. 4

1.3 MATLAB的概况 .................................................................................................. 4

1.4 MATLAB的语言特点 ........................................................................................... 5

2小波分析的基本理论 ...................................................................................................... 6

2.1傅里叶变换 .......................................................................................................... 6

2.2小波变换 .............................................................................................................. 7

2.2.1连续小波变换 ............................................................................................. 7

2.2.2离散小波变换 ............................................................................................. 8

2.2.3小波包分析................................................................................................. 9

3小波分析在图像处理中的应用 ........................................................................................ 9

3.1小波分析用于图像压缩 ......................................................................................... 9

3.2小波分析用于图像去噪 ....................................................................................... 13

3.3小波分析用于图像增强 ....................................................................................... 18

3.3.1图像钝化 .................................................................................................. 20

3.3.2图像锐化 .................................................................................................. 23

3.4小波分析用于图像融合 ....................................................................................... 25

4 总结............................................................................................................................ 29

致谢 ............................................................................................................................... 29

基于Matlab的小波分析与设计 2

基于Matlab的小波分析与设计

学生：王磊

指导老师：贾群

淮南师范学院电气信息工程学院

摘 要：小波分析是指用有限长或快速衰减的、称为母小波的振荡波形来表示信号。该波形被缩放和平移以匹配输入的信号。小波变换分成两个大类：离散小波变换和连续小波变换。两者的主要区别在于，连续变换在所有可能的缩放和平移上操作，而离散变换采用所有缩放和平移值的特定子集。小波分析理论作为新的时频分析工具，在信号分析和处理中得到了很好的应用。平面图像可以看成是二维信号，因此，小波分析很自然地应用到了图像处理领域。图像压缩、去噪、、增强、融合是图像预处理中应用非常广泛的技术，小波变换由于其自身的优良特性而在图像处理中得到了越来越多的应用。本文从基本理论出发，首先对小波变换进行了详尽而深刻的阐述。循序渐进地介绍了从概念到小波分析等一系列相关内容，包括连续小波变换、离散小波变换和小波包分析。最终引出小波分析在Matlab中的应用的方法。对小波变换在图像处理中的应用本文作了重点研究。

关键词:小波分析；图像压缩；图像去噪；图像增强；图像融合；matlab

Wavelet analysis and design based on MATLAB

Nane:wanglei

Tutor:jiaqun

Huainan Normal University School of electrical and Information Engineering

ABSTRACT:Wavelet analysis is the use of limited length or fast attenuation, known as mother wavelet representation of a signal waveform. The waveform is zooming and panning to match the input signal. Wavelet transform is divided into two categories: discrete wavelet transform and continuous wavelet

transform. The essential difference between both is, continuous transformation in all possible zooming and panning operation, and discrete transform using all values of a specific subset of zooming and panning. The theory of wavelet analysis as a new time-frequency analysis tool in signal analysis and processing, has a very good application. Planar image can be viewed as a two-dimensional signal, therefore, wavelet analysis naturally is applied to the image processing field. Image compression, denoising, enhancement, fusion, image pre-processing is very extensive application of the technology of wavelet transform, because of its

淮南师范学院2012届本科毕业论文

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excellent characteristics in image processing has been applied more and more. In this paper, starting from the basic theory of wavelet transform, the first detailed and profound developm …… 此处隐藏：12715字，全部文档内容请下载后查看。喜欢就下载吧 ……