目录摘要...............................................................................................................................................IABSTRACT.................................................................................................................................II第一章前言.................................................................................................................................11.1小波分析概述.................................................................................................................11.2小波分析产生的背景.....................................................................................................2第二章小波分析简介.................................................................................................................42.1小波变换的定义.............................................................................................................42.2小波变换的性质.............................................................................................................42.3小波多分辨分析.............................................................................................................62.4小波分析的算法.............................................................................................................82.4.1由尺度函数生成小波函数..................................................................................82.4.2小波的分解和重构算法......................................................................................92.4.3小波变换的边界延拓方法................................................................................102.5小波分析在图像编码中的应用...................................................................................102.5.1图像的二维小波变换........................................................................................102.5.2小波的图像编码算法........................................................................................12第三章小波分析的多尺度边缘检测.......................................................................................143.1小波分析的多尺度边缘检测.......................................................................................143.2经典边缘检测方法.......................................................................................................153.3小波分析与多尺度边缘检测.......................................................................................153.3.1局部频率刻画功能............................................................................................153.3.2小波多分辨分析................................................................................................163.3.3边缘的多尺度特性刻画....................................................................................163.4边缘检测准则与多尺度边缘检测...............................................................................173.4.1边缘检测准则与多尺度边缘检测....................................................................173.4.2问题分析............................................................................................................173.5边缘模型和最小位移的小波基的选择.......................................................................183.6位置不变的多尺度边缘检测模型............................................
