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研究生: 莊子弘
論文名稱: 利用調變轉換函數探討數位影像相關法之誤差
USING MODULATION TRANSFER FUNCTION TO INVESTIGATE THE ERROR OF THE DIGITAL IMAGE CORRELATION METHOD
指導教授: 王偉中
口試委員: 羅鵬飛
蔣長榮
學位類別: 碩士
Master
系所名稱: 工學院 - 動力機械工程學系
Department of Power Mechanical Engineering
論文出版年: 2012
畢業學年度: 100
語文別: 中文
論文頁數: 147
中文關鍵詞: 數位影像相關法、調變轉換函數、景深誤差、校正試片、特徵斑點、空間濾波器
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  • 本研究應用數位影像相關(Digital Image Correlation, DIC)法,透過以調變轉換函數(Modulation Transfer Function, MTF)量測之校正板為基礎的測試程序,量測物體在不同景深移動下相機鏡頭的MTF曲線;並探討當物體變形過程中,因超出景深使得拍攝過程中取像逐漸模糊,而無法維持DIC法原有之精確度。研究中藉由剛體平移實驗,以鏡頭MTF曲線建立一標準,針對鏡頭的解像力和DIC法分析之結果做連結,由MTF曲線以得知DIC法在不同景深下所對應位置之位移誤差,以及特徵斑點影像比對上之可行分析範圍。
    本研究亦探討DIC法實驗中影響影像品質的兩大要素,即光源和特徵斑點大小分佈;利用控制電荷耦合元件(Charge-Coupled Device,CCD)相機之快門速度和光圈大小以探討進光量對DIC系統之誤差影響範圍,並製造不同種特徵斑點大小與分佈,以探討對位移誤差之影響。最後針對上述進光量與特徵斑點選取之兩條件調整後,建立一套創新的影像校正流程,藉由試片表面的特徵斑點所產生的 MTF曲線,來評估物體在不同景深位置下DIC法之位移誤差。


    目錄 一、簡介 1 二、文獻回顧............................................................................................4 2.1 數位影像相關法.........................................................................4 2.2 調變轉換函數...........................................................................10 三、實驗原理..........................................................................................14 3.1 數位影像相關法.......................................................................14 3.2 變形與位移...............................................................................15 3.3 相關函數...................................................................................17 3.4 數值方法...................................................................................19 3.4.1 粗-細法 20 3.4.2 牛頓-拉福森法...............................................................23 3.5 影像重建...................................................................................27 3.5.1雙線性內插法.................................................................28 3.5.2 雙立方內插法................................................................29 3.5.3 雙立方樣條內插法........................................................30 3.6 3D-DIC法相機模型..........................................................31 3.7 理想相機參數計算流程...........................................................36 3.8 相機參數最佳化計算...............................................................42 3.9 影像校正討論...........................................................................43 3.10 調變轉換函數基本定義.........................................................45 3.11 MTF測試圖介紹與量測方式.................................................48 四、實驗裝置與試片 51 4.1實驗裝置 51 4.2實驗試片 55 4.3 MTF測試板...............................................................................55 五、實驗程序 56 5.1 試片製作 56 5.2 相機校正程序 57 5.3 DIC法分析變形程序 58 5.4 相機MTF曲線量測流程 59 5.5 試片取像 62 5.5.1 DIC系統靜態誤差之量測.............................................62 5.5.2剛體平移實驗.................................................................62 5.6 光強分佈實驗流程 64 5.7 特徵斑點實驗流程 65 5.8 以特徵斑點分析MTF曲線之DIC法位移評估 66 六、結果與討論........................................................................................69 6.1 DIC系統靜態誤差分析............................................................69 6.2 剛體平移實驗結果...................................................................70 6.3 鏡頭MTF曲線量測結果.........................................................71 6.4 光強分佈實驗分析結果...........................................................73 6.5 特徵斑點實驗分析結果...........................................................75 6.6 以特徵斑點分析MTF曲線之DIC法位移評估結果............77 6.6.1 DIC法位移誤差分析結果.............................................77 6.6.2 以特徵斑點分析MTF曲線分析結果..........................81 七、結論與未來展望 85 7.1 結論 85 7.2 未來展望 88 八、參考文獻...........................................................................................91

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