利用主成份分析法設計與製作色度儀所需之濾光片

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研究生：	陳巧瑄 Chiao-hsuan Chen
論文名稱：	利用主成份分析法設計與製作色度儀所需之濾光片 Design and Fabricate the Filters of Colorimeter by Using Principal Component Analysis Method
指導教授：	楊宗勳 Tsung-Hsung Yang 李正中 Cheng-Chung Lee
口試委員:
學位類別：	碩士 Master
系所名稱：	理學院 - 光電科學與工程學系 Department of Optics and Photonics
畢業學年度：	97
語文別：	中文
論文頁數：	86
中文關鍵詞：	主成份分析法、濾光片、色彩
外文關鍵詞：	PCA, filter, color
相關次數：	點閱：19 下載：0
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色彩影像的擷取技術在近年來發展迅速，而多光譜影像的擷取技術提供了便利且不受環境影響的優勢，在現今的色彩科技上被廣泛地使用。在本研究中使用多光譜影像擷取的方法：主成分分析法，分析孟塞爾色彩系統之1269個反射光譜，並且將分析的結果製鍍成干涉式濾光片。本研究製鍍之六片濾光片可用來作為任意的光譜重建之基底，利用此六片濾光片即可重建出任意的反射光譜，對於孟塞爾色彩系統之1269個反射光譜的重建，其整體的平均適配係數（GFC）達到0.965，呈現很好的光譜重建效果。

The technique on color image acquisition has been developed rapidly lately. The multispectral image acquisition system is no longer restricted to environmental issue. Due to several advantages the color image acquisition technique has to offer, it is therefore used widely in the color technology. In this research, Principal Component Analysis is used in the multispectral image acquisition system to analyze 1,269 reflectance spectra of the Munsell color system. The analysis is then realized by the interference color filters fabrication. There are six color filters used to be the basis of an arbitrary spectrum in the research. The reconstructed spectra of the 1,269 reflectance spectra in the Munsell color system is evaluated by the goodness-of-fitting coefficient (GFC), and the average value of GFC for the 1,269 spectra is reached to 0.965. Therefore, the six color filters are presented with a good ability for spectra reconstruction.

摘要	I
Abstract	II
致謝	III
目錄	IV
圖目錄	VI
表目錄	VIII
第一章	前言	1
1-1	緒論	1
1-2	研究動機	4
1-3	論文架構	5
第二章	基本理論	7
2-1	多光譜影像	7
2-1-1  主成份分析法(Principal Component Analysis)	10
2-1-2  色彩系統介紹	15
2-2  CIE 色彩空間	24
2-2-1  CIE1931 RGB色彩空間	24
2-1-2  CIE1931 x-y色度圖	26
第三章	研究方法	30
3-1	研究工具	30
3-2  光譜分析	33
3-3	濾光片應用之理想架構	38
3-3-1  主成分光譜之修正	39
3-3-2  反射光譜之修正	42
第四章	干涉式光學濾光片之設計與製作	45
4-1	電子槍蒸鍍法	45
4-2	干涉式光學濾光片之設計	47
4-2-1  膜層設計	47
4-2-2  膜層誤差容忍度	49
4-3	干涉式光學濾光片之製作	51
4-3-1  製鍍方法與結果	51
4-3-2  製鍍結果之誤差討論	53
第五章	結果與討論	56
5-1  濾光片之理論、設計及實驗結果之重建光譜比較	56
5-2  各片濾光片對於重建光譜所造成的影響	59
5-3  濾光片製鍍結果與討論	62
第六章	結論與未來工作	69
Conclusion	71
參考文獻	72

                                

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