臺灣博碩士論文加值系統

本研究應用數位影像相關(Digital Image Correlation, DIC)法系統拍攝靜止之待測試片，經由分析軟體計算後得知DIC系統量測精度資訊，並針對造成系統量測誤差之因素進行探討。
本研究中同時使用二維數位影像相關(Two-Dimensional Digital Image Correlation, 2D-DIC)法及三維數位影像相關(Three-Dimensional Digital Image Correlation, 3D-DIC)法進行位移量測，並使用步進馬達及定位板裝置兩種方式使試片進行剛體平移，擷取試片在不同位置之影像進行分析，將定位板實驗結果與步進馬達實驗結果進行比對及驗證，並探討位移誤差值及造成位移量測誤差之因素。
本研究最後針對DIC分析結果中的位移分布與像差關係做連結，並透過像差模型解釋擷取影像因受到像差的影響，進而造成的量測誤差，及在位移輪廓圖中出現位移分布不均勻之現象。

目錄 I
圖目錄 IV
表目錄 IX
一、簡介 1
二、文獻回顧 4
2.1 數位影像相關法 4
2.2應用Zernike 多項式[16，17] 8
三、實驗原理 9
3.1 數位影像相關法[5，20-22] 9
3.2 變形與位移[4，9，5，21] 10
3.3 相關函數[6，9，5，21] 12
3.4 數值方法 15
3.4.1 粗-細法[3，5，21] 15
3.4.2 牛頓-拉福森法[6] 19
3.5 影像重建[5，7，21] 25
3.5.1雙線性內插法 25
3.5.2 雙立方內插法 26
3.6三維影像相關法[5，9，12] 29
3.7 影像校正討論 33
3.8 Zernike多項式[17，19] 35
四、實驗裝置與試片 39
4.1 實驗裝置 39
4.2實驗試片 42
4.3定位板實驗裝置 43
五、實驗程序 44
5.1試片製作 44
5.2相機校正程序 45
5.3 DIC法實驗程序 46
5.4 剛體平移實驗 47
5.5最大視角位置影像擷取與分析 48
5.6定位板位移實驗 50
六、結果與討論 51
6.1 X方向剛體平移實驗結果 51
6.2方格紙試片實驗結果 54
6.3位移分布不連續的現象 55
6.4 DIC系統誤差實驗結果 58
6.5最大視角實驗結果(2D-DIC法) 61
6.6最大視角實驗結果(3D-DIC法) 65
6.7定位板位移實驗結果 71
6.8 Z方向剛體平移實驗結果 72
七、結論與未來展望 76
7.1 結論 76
7.2 未來展望 80
八、參考文獻 83

[1] Website:http://highscope.ch.ntu.edu.tw/wordpress/?p=18833
[2] W. H. Peters and W. F. Ranson, “Digital Imaging Techniques in Experimental Stress Analysis,” Optical Engineering, Vol. 21, No. 3, pp. 427-431, 1982.
[3] M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson and S. R. McNeill, “Determination of Displacements Using an Improved Digital Image Correlation Method,” Image and Vision Computing, Vol. 1, No. 3, pp. 133-139, 1983.
[4] W. H. Peters, W. F. Ranson, T. C. Chu and J. Anderson, “Application of Digital Correlation Methods to Rigid Body Mechanics,” Optical Engineering, Vol. 22, No .6, pp. 738-742, 1983.
[5] 沈宏燦, 人工網膜於活體兔子之機械性質與變形之探討, 國立清華大學動力機械工程學系碩士論文, 2007.
[6] T. C. Chu, W. F. Ranson, M. A. Sutton and W. H. Peters, “Applications of Digital-Image-Correlation Techniques to Experimental Mechanics,” Experimental Mechanics, Vol. 25, No. 3, pp. 232-244, 1985.
[7] M. A. Sutton, M. Cheng, W. H. Peters, Y. J. Chao and S. R. McNeill, “Application of an Optimized Digital Correlation Method to Planar Deformation Analysis,” Image and Vision Computing, Vol. 4, No. 3, pp. 143-150, 1986.
[8] M. A. Sutton, S. R. McNeil, J. Jang and M. Babai, “Effect of Subpixel Image Restoration on Digital Image Correlation Estimates,” Optical Engineering, Vol. 27, No. 10, pp. 870-877, 1988.
[9] Website:http://www.correlatedsolutions.com.
[10] H. A. Bruck, S. R. McNeill, M. A. Sutton and W. H. Peters, “Digital Image Correlation Using Newton-Raphson Method of Partial Differential Correlation,” Experimental Mechanics, Vol. 29, No. 3, pp. 261-267, 1989.
[11] Z. L. Kahn-Jetter and T. C. Chu, “Three-dimensional Displacement Measurements Using Digital Image Correlation and Photogrammic Analysis,” Experimental Mechanics, Vol. 30, No. 1, pp. 10-16, 1990.
[12] P. F. Luo, Y. J. Chao, M. A. Sutton and W. H. Peters III, “Accurate Measurement of Three-dimensional Deformations in Deformable and Rigid Bodies Using Computer Vision,” Experimental Mechanics, Vol. 33, No. 2, pp. 123-132, 1993.
[13] H. Lu and P. D. Cary, “Deformation Measurements by Digital Image Correlation: Implementation of a Second-Order Displacement Gradient,” Experimental Mechanics, Vol. 40, No. 4, pp. 393-400, 2000.
[14] B. Pan, H. M. Xie, B. Q. Xu and F. L. Dai, “Performance of Sub-Pixel Registration Algorithms in Digital Image Correlation,” Measurement Science and Technology, Vol. 17, No. 6, pp. 1615-1621, 2006.
[15] M. Pankow, B. Justusson and A. M. Waas, “Three-Dimensional Digital Image Correlation Technique Using Single High-Speed Camera for Measuring Large Out-of-Plane Displacements at High Framing Rates,” Applied Optics, Vol. 49, Iss. 17, pp. 3418-3427, 2010.
[16] M. Born and E. Wolf, Principles of Optics, Cambridge, 7th ed., pp. 905.
[17] 鄭凱鴻, 光學薄膜之全域性應力分析, 國立清華大學動力機械工程學系碩士論文, 2007.
[18] F. Zernike, “Diffraction Theory of the Knife-Edge Test and Its Improved Form, The Phase-Contrast Method,” Physica, Vol. 1, Iss. 2, pp. 689, 1934.
[19] M. P. Rimmer and J. C. Wyant, “Evaluation of Large Aberration Using a Lateral-Shear Interferometer Having Variable Shear,” Applied Optics, Vol. 14, Iss. 1, pp. 142, 1975.
[20] 張廷宇, 應用影像相關法探討人工網膜與動物筋膜之變形與機械性質, 國立清華大學動力機械工程學系碩士論文, 2008.
[21] 陳柏甫, 三維數位影像相關法之新校正程序, 國立清華大學動力機械工程學系碩士論文, 2010.
[22] 莊子弘, 利用調變轉換函數探討數位影像相關法之誤差, 國立清華大學動力機械工程學系碩士論文, 2012.
[23] D. Malacara and S. L. DeVore, Optical Shop Testing, Wiley, New York, Chap. 13, pp. 465, 1992.
[24] Website:http://cellprofiler.org/forum/viewtopic.php?f=14&;t=1254
[25] Website:http://www.alliedvisiontec.com/
[26] Website:http://www.phase1tech.com/Cameras/CIS-VCC-G60FV11G
[27] Website:http://www.schneiderkreuznach.com/index_e.htm
[28] Website:http://www.surevision.com.tw/product.htm
[29] 林育生, 導光板於不同溫濕負載下翹曲量之實驗與數值探討, 國立清華大學動力機械工程學系碩士論文, 2011.
[30] Website:http://www.zaber.com/
[31] Website:http://www.zaber.com/wiki
[32] Website:http://www.newport.com/
[33] Website:http://www.onset-eo.com/
[34] Website:http://www.mathworks.com/help/vision/ug/find-camera-parameters-with-the-camera-calibrator.html?searchHighlight=camera-parameters-with-the-camera-calibrator#bt1xnt_
[35] Website:http://www.originlab.com/
[36] 陳永祥, 多視角數位影像相關量測系統之研究, 國立清華大學動力機械工程學系博士論文計畫書, 2014.