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研究生:陳奕倫
研究生(外文):Yi-luan Chan
論文名稱:微掃描於遠心式鏡頭和非遠心式鏡頭之應用
論文名稱(外文):The application of microscanning on telecentric camera lens and non-telecentric camera lens
指導教授:方怡欽
學位類別:碩士
校院名稱:國立高雄第一科技大學
系所名稱:光電工程研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:中文
論文頁數:98
中文關鍵詞:混疊效應遠心式微掃描技術離散調變轉換函數
外文關鍵詞:MicroscanningDiscrete Modulation Transfer Function (DMTF)telecentricAliasing Effect
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隨著數位影像系統的快速發展,光學設計及測量在理論和優化方面因為數位
化,輕量化,小型化和整合化而有許多需要強化之處,公元2000 年之後更多的
光學系統走向小型、輕量化;產品材質的選擇,設計,公差的分析,和後續的測
量及整合變得更加複雜;這些問題成為光學產品成敗的關鍵。
論文著重在數位小型、輕量化光學影像系統的光學性能測量。調變轉換函數
(Modulation Transfer Function;MTF)的測量是基於線性反應之基礎上,但;數位系統是離散的,即不連續。例如:Focal-Plane-Arrays (FPA) 元件;它是不連續的,因此必須提出離散調變轉換函數(Discrete Modulation Transfer Function;DMTF)的修正,離散調變轉換函數是調變轉換函數對不連續系統的解決方法。
再者會考慮光的相位問題,以及取樣不足(Under-Sampling)的問題,如果取樣不
足會造成混疊效應(Aliasing Effect),會使得系統的影像失真。數位系統的調變轉換函數測量在高空間頻率變得十分不穩定,論文將提出一套改良式的數位系統調變轉換函數測量方法,理論與實驗並行,應用微掃描(Micro Scanning)的技術和減
少高頻雜訊的技術得到穩定的數位系統調變轉換函數測量。
本論文在理論上會對調變轉換函數應用在數位系統上做出適當的修正;即離
散調變轉換函數,實驗方面,在遠心式和非遠心式鏡頭上驗證應用微掃描的技術;和減低高頻雜訊的技術,可以讓因為取樣不足造成混疊效應降低;甚至消除。
Due to the fast development in digital image system, there are plenty of improvingspaces in optimazing, light quantization, miniaturization for optics design, opticsmeasure. Since 2000, optical systems tend to evolve toward to small-scale, light
quantization choices. Choices in picking product materials, designs, tolerance,
follow-up measure and integration complicate the situation. They are the keys to the
success for the optics products.

The thesis emphasizes in optics performance measurement of the digital small-scale, light quantization optics image system. Measurement of modulation transfer function is built on the linear responses. However the digital systems are discrete and discontinuous, Focal-Plane-Array component-for example. Due to its discontinuous property, one must propose a discrete modulation transfer function revision . Discrete modulation transfer function is modulation transfer function used to solve discontinuous problem. Later in the thesis, we consider the problem of light phase and under-sampling. Under-sampling will cause aliasing effect and distorts
the system image. The digital system modulation transfer function measurement
become very unstable in high space frequency . The thesis proposes a set of improvement digital system modulation transfer function measuring methods, the
theory and experiment parallel. The result also applies to micro scanning technology
and reduces high frequency noise technology . Finally it obtains the stable
digital system measurement of modulation transfer function.
This thesis makes proper revision on modulation transfer function in the digital
systems theoretically, also known as discrete modulation transfer function. In
experiment aspect, it provides means in applying micro scanning technology and
successfully reducing high frequency noise on telecentric and non-telecentric camera lens. It lowers, and sometimes excludes, theeffects caused by under-sampling. As long as it is achieved, the essential systemmodulation transfer function is approached and claimed.
Keywords: Discrete Modulation Transfer Function (DMTF); Aliasing Effect; Microscanning,telecentric
摘要…………………………………………………………………………….i
英文摘要……………………………………………………………………….ii
誌謝…………………………………………………………………………….iii
目錄…………………………………………………………………………….iv
圖目錄………………………………………………………………………….vi
表目錄………………………………………………………………………….ix
第一章緒……………………………………………………………………….1
1-1 研究背景………………………………………………………………2
1-2研究目的-………………………………………………………………3
1-3論文架構…………………………………………………………….….4
第二章有關光學性質的傅立葉相關定理………………………………….….4
2-1Delta 函數………………………………………………………………4
2-2相關的傅立葉轉換定理…………………………………………….….7
2-2-1 Rayleigh’s 定理……………………………………………..……..7 2-2-2 Convolution 定理………………………………………………….7
2-2-3Autocorrelation 定理……………………………………………….7
2-2-4Fresnel 繞射方程式………………………………………………..8
2-2-5Fraunhofer 繞射圖形..…………………………………………….10
第三章 MTF相關理論……………………………..………………………………13
3-1線性系統理論…………………………………………….……………13
3-2調變轉換函數……………………………………………………….…15
3-3系統轉換函數……………………………………………………….…18
3-4感測器的轉換函數………………………………………………….…19
3-5動態的轉換函數…………………………………………………….…20
3-6內部電子雜訊的轉換函數……………………………………………..20
第四章 混疊效應之介紹……………………………………………………………21
4-1離散調變轉換函數(DMTF)的定義及性質……………………………21
4-2奈奎斯特取樣定理……………………………………………..24
4-3混疊效應空間頻率說明………………………………………………. 27
4-4離散傅立葉轉換………………………………………………………..29
4-5以數學推導方式說明混疊效應………………………………………..30
第五章微掃描技術及其介紹…………………………………………………..33
5-1點擴散函數的物理性質………………………………………………..33
5-2點擴散函數的數學意義………………………………………………..35
5-3線擴散函數的物理性質………………………………………………..36
5-4線擴散函數的數學意義………………………………………………..37
5-5微掃描(Micro-Scanning)技術介紹…………………………………….39
5-6微掃描(Micro-Scanning)技術相關應用……………………………….40
第六章 實驗架構…………………………………………………………..…..47
6-1實驗設備…………………………………………………………..…....47
6-2實驗鏡頭…………………………………………………………..…....51
6-3實驗步驟…………………………………………………………..……52
6-4 有關telecentric和non-telecentric之簡介………………………..…..53
第七章.實驗結果………………………………………………………….……55
7-1 每個鏡頭各個steps之實驗結果……………………………….……55
7-2 將各鏡頭之各steps曲線畫在一起之結果…………………….……84
第八章 實驗分析與結論………………………………………………………90
8-1感測器奈奎斯特頻率限制之討論…………………………….…….…90
8-2實驗結論……………………………………………………………………91
8-3未來展望……………………………………………………………..…95
參考文獻………………………………………………………………..…96
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