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研究生:潘世耀
研究生(外文):Shih-Yao Pan
論文名稱:取像透鏡裝置之調變轉移函數量測系統的研究:以使用不同擴散函數量測方法為例
論文名稱(外文):A review on the MTF measurement systems for imaging lens modules: taking the measurement methods using various spread function as an example
指導教授:張國維
指導教授(外文):Gao-Wei Chang
學位類別:碩士
校院名稱:國立臺灣師範大學
系所名稱:機電科技研究所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2007
畢業學年度:94
語文別:中文
論文頁數:49
中文關鍵詞:調變轉移函數點擴散函數線擴散函數邊緣擴散函數
外文關鍵詞:modulation transfer functionpoint-spread functionline-spread functionedge-spread function
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中文摘要
近年來廣泛使用的數位相機等取像裝置,在消費性電子產品市場中已經引起許多的重視。然而,與傳統的照相機相比,量測和提升數位相機的影像品質是很重要的;例如,數位取像光學模組的微小化所造成的繞射效應很容易地降低影像的解析度。調變轉移函數(modulation transfer function, MTF)已廣泛被使用來評估透鏡成像品質優劣的重要指標。因此,這篇論文的主要目的是以不同的擴散函數方法,進行MTF量測系統發展之優缺點分析。
在本論文中首先探討點、線、與邊緣擴散函數方法的學理以及其對應量測組態。這些組態所使用的準直光源,是利用準直透鏡與各別的圖樣(針孔、狹縫與刀邊)來產生。再分別利用這些準直光源來測試待測模組的成像品質,並使用影像感測器擷取相關資訊,根據個別的演算法,在電腦計算出待測成像模組的MTF值。針對這些組態的量測方法,我們經由學理分析與實驗來分別比較這些量測組的優劣點。

關鍵字:調變轉移函數、點擴散函數、線擴散函數、邊緣擴散函數
ABSTRACT
For many years, the widening use of digital imaging products, e.g., digital cameras, has given rise to much attention in the market of consumer electronics. However, it is important to measure and enhance the imaging performance of the digital ones, compared to that of conventional cameras. For example, the effect of diffraction arising from the miniaturization of the optical modules tends to decrease the resolution of the image. As a figure of merit, modulation transfer function (MTF) has been broadly employed to estimate the image quality. Therefore, the objective of this paper is to compare the advantage and disadvantages of the MTF measurement systems using different spread function methods.
In this paper, a theoretical framework is first briefly presented and then, a cost-effective approach is proposed. In this approach, we use pinhole, slit, knife-edge and collimating lens to produce the point, line and edge collimation light sources. Collimated light going through the lens module under test is consecutively detected by the imaging sensor of the proposed system. The images formed by the optical modules are acquired by a computer and then, they are processed by algorithms for computing the MTF. Finally, the advantages and disadvantages of the MTF measurement systems using different spread function methods are presented in this thesis.

Key words: modulation transfer function, point-spread function, line-spread function, edge-spread function
目錄
中文摘要…………………………………………………………………… I
英文摘要…………………………………………………………………… II
目錄………………………………………………………………………… III
圖號清單…………………………………………………………………… V
表號清單…………………………………………………………………… VII
第一章 緒論……………………………………………………………….. 1
1.1 研究背景與動機…………………………………………………… 1
1.2 論文架構…………………………………………………………… 2
第二章 理論基礎………………………………………………………….. 3
2.1 何謂MTF?………………………………………………………… 3
2.2 MTF的基本原理…………………………………………………… 7
2.2.1 同調光的成像系統(Coherence imaging system) …… 7
2.2.2非同調光的成像系統(Incoherence imaging system) …10
2.3 學理模擬…………………………………………………………… 12
第三章 MTF量測方法研究……………………………………………… 16
3.1 擴散函數方法(spread function method) ……………………16
3.1.1 點擴散函數方法(point-spread function method, PSF)17
3.1.2 線擴散函數方法(line-spread function, LSF) ………..18
3.1.3 邊緣擴散函數方法(edge-spread function, ESF) ………20
3.2 其他方法-Bar target方法………………………………………… 22
3.5 MTF量測的課題…………………………………………………… 25
3.5.1 MTF的串聯性………………………………………………… 25
3.5.2 輔助光學元件的品質………………………………………….. 27
3.5.3 有限尺寸的光源(針對點擴散函數方法及線擴散函數方法) 28
第四章 實驗設計………………………………………………………….. 31
4.1 PSF、LSF、ESF量測方法之實驗架構……………………………… 31
4.2 系統校正…………………………………………………………… 33
4.3實驗方法及實驗結果……………………………………………… 35
4.3.1 點擴散函數方法實驗及其結果……………………………… 35
4.3.2 線擴散函數方法實驗及其結果……………………………… 39
4.3.3邊緣擴散函數方法實驗及其結果……………………………... 42
第五章 討論與未來工作………………………………………………….. 47
參考文獻…………………………………………………………………… 48
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[5] http://www.trioptics.com/
[6] http://www.oeg-messtechnik.de/
[7] http://www.optikos.com/
[8] H. Fujita et al, “A simple method for determining the modulation transfer function in digital radiography, ” IEEE. Med. Img., vol. 11, no.1, 1992
[9] E. Samei et al, “Comparison of edge analysis techniques for determination of the MTF of digital radiographic systems, “ IOP., 2005
[10] W. Hon-Sum, “Effect of knife-edge skew on MTF measurements of CCD imagers employing a knife-edge,” Opt. Eng., 30, pp. 1394–1398, 1991.
[11] H. J. Pahk *, Suk Won Lee, Dong Sung Lee, “Computer aided measurement and compensation system for focal length of lenses in camera manufacture based on the MTF performance using the line CCD sensor” International Journal of Machine Tools & Manufacture 40, pp.1493–1511, 2001.
[12] A. Daniels, G. D. Boreman, A. D. Ducharme, and E. Sapir, “Random transparency targets for modulation transfer function measurement in the visible and infrared region,” Opt. Eng., 34, pp. 860-868, 1995.
[13] Sampo M. Backman and Anssi J. Makynen, “Random target method for fast MTF inspection,” JOSA, 2004
[14] E. Levy, D. Peles, M. O. Lipson, and S. G. Lipson, “Modulation transfer function of a lens measured with a random target method,” Appl. Opt., 38, pp. 679-683, 1999.
[15] J. C. GRISOLIA, “A Device for the optical transfer function measurement,” J. Optics (Paris), 1985, vol. 16, no 2, pp. 77-81.
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