【正文】 is that it’s difficult to locate edge precisely, which will make mistakes in pattern recognition based on edge features. With mufti scale characterization, wavelet analysis was widely used to muftiscale edge detection. In this paper, it was proved that, waveletbased muftiscale edge detection would keep edge positions very well, if symmetric bases were used in wavelet transform. Furthermore, an algorithm of muftiscale edge detection based on biorthogonal symmetric wavelet was put forward。這種方法按照以下步驟和流程 :原始含噪模糊圖像→小波圖像去噪→直方圖調(diào)整→小波圖像增強(qiáng)→中值 濾波圖像平滑→清晰化綜合處理圖像。該算法在獲得良好邊緣的情況下，邊緣定位準(zhǔn)確度高。 本課題 證明了，基于對(duì)稱(chēng)小波基的小波變換，在用于多尺度邊緣檢測(cè)時(shí)，可以很好地保持邊緣位置 。這對(duì)于基于邊緣特征的模式識(shí)別而言會(huì)造成誤識(shí)別。這種定義對(duì)噪聲非常敏感，因此邊緣檢測(cè)需要通過(guò)圖像平滑在大尺度下進(jìn)行。 本課題 對(duì)小波分析在多尺度邊緣檢測(cè)、靜止圖像壓縮和數(shù)字 圖像 清晰化 三個(gè)方面應(yīng)用的方法進(jìn)行了研究。濰坊學(xué)院本科畢業(yè)設(shè)計(jì)（論文） I 目錄 摘要 ............................................................................................................................................... I ABSTRACT ................................................................................................................................II 第一章 前言 .............................................................................................................................. 1 小波分析概述 ............................................................................................................. 1 小波分析產(chǎn)生的背景 ................................................................................................ 2 第二章 小波分析簡(jiǎn)介 ............................................................................................................. 4 小波變換的定義 ......................................................................................................... 4 小波變換的性質(zhì) ......................................................................................................... 4 小波多分辨分析 ......................................................................................................... 6 小波分析的算法 ......................................................................................................... 8 由尺度函數(shù)生成小波函數(shù) ............................................................................ 8 小波的分解和重構(gòu)算法 ................................................................................. 9 小波變換的邊界延拓方法 .......................................................................... 10 小波分析在圖像編碼中的應(yīng)用 ............................................................................. 10 圖像的二維小波變換 ................................................................................... 10 小波的圖像編碼算法 ................................................................................... 12 第三章 小波分析的多尺度邊緣檢測(cè) ................................................................................. 14 小波分析的多尺度邊緣檢測(cè) ................................................................................. 14 經(jīng)典邊緣檢測(cè)方法 .................................................................................................. 15 小波分析與多尺度邊緣檢測(cè) ................................................................................. 15 局部頻率刻畫(huà)功能 ....................................................................................... 15 小波多分辨分析 ............................................................................................ 16 邊緣的多尺度特性刻畫(huà) ............................................................................... 16 邊緣檢測(cè)準(zhǔn)則與多尺度邊緣檢測(cè) ........................................................................ 17 邊緣檢測(cè)準(zhǔn)則與多尺度邊緣檢測(cè) ............................................................. 17 問(wèn)題分析 ......................................................................................................... 17 邊緣模型和最小位移的小波基的選擇 ................................................................ 18 位置不變的多尺度邊緣檢測(cè)模型 ........................................................................ 19 濰坊學(xué)院本科畢業(yè)設(shè)計(jì)（論文） II 實(shí)驗(yàn)結(jié)果和分析 ....................................................................................................... 20 第 四 章 小波分析的數(shù)字圖像清晰化方法 ......................................................................... 22 數(shù)字圖像處理概述 .................................................................................................. 22 數(shù)字圖像格式 ........................................................................................................... 22 計(jì)算機(jī)數(shù)字圖像格式 ................................................................................... 22 MATLAB 支持的基本圖像類(lèi)型 .................................................................. 23 圖像類(lèi)型轉(zhuǎn)換 ................................................................................................ 24 小波圖像分解與重構(gòu) .............................................................................................. 24 小波圖像去噪 ........................................................................................................... 26 小 波圖像增強(qiáng) ........................................................................................................... 28 圖像直方圖分析 ....................................................................................................... 29 圖像平滑處理 ........................................................................................................... 30 小波圖像清晰化綜合處理 ..................................................................................... 31 第五章 小波圖像壓縮 ........................................................................................................... 33 小波圖像壓縮問(wèn)題 ................................................................................................... 33 變換編碼 .................................................................................................................... 33 小波用于圖像壓縮 .................................................................................................. 33 概述 ................................................................................................................. 33 量化和編碼算法 ....................