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Error analysis and reconstruction for diffractive optic imaging spectrometer using the multiple iterations

Li Na Jia Di Zhao Hui-Jie Su Yun Li Tuo-Tuo

Error analysis and reconstruction for diffractive optic imaging spectrometer using the multiple iterations

Li Na, Jia Di, Zhao Hui-Jie, Su Yun, Li Tuo-Tuo
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  • Diffraction imaging spectrometer cannot acquire imaging spectral data without calculation and inversion. In this paper, the imaging process of the diffraction imaging spectrometer and the principle of the data error from both space and spectra are analyzed. To solve the problems of low definition of the reconstruction and the ringing in it occurring under the condition that the point spread function (PSF) is larger, a new algorithm is proposed based on improved inverse Wiener filtering. The improved method regards the reconstruction result of Wiener filtering as a new fuzzy image, and recalculates the PSF of the new fuzzy image based on the analysis of the diffraction characteristics and error. Inverse iterative Wiener filtering is used to improve the definition of the reconstruction, and then the noise needs to be removed according to the distribution of the spatial and spectral features. Simulated diffraction imaging spectral data are used to verify the correctness of the algorithm proposed in this paper. A reconstruction without ringing can be obtained when the standard deviation of PSF is 2.5, and both of the definition and detail ability are higher than those of the traditional reconstruction. The reconstruction using the improved algorithm proposed in this paper can satisfy the applications of the diffraction imaging spectral data.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61008047), the National High Technology Research and Development Program of China (Grant Nos. 2012AA12A30801, 2012YQ05250), the China Geological Survey Project (Grant No. 1212011120227), the Special Scientific Research Fund of Meteorological Public Welfare Profession of China (Grant No.201311036), and the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China (Grant No.IRT0705).
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    Du H D, Huang S X, Shi H Q 2008 Acta Phys. Sin. 57 7685 (in Chinese)[杜华栋, 黄思训, 石汉青 2008 物理学报 57 7685]

    [2]

    Chen S, Ong Y H, Liu Q 2012 Proc. SPIE 8553 85531R

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    Valdivieso L G, Osorio C A, Guerrero J E 2011 22nd Congress of the International Commission for Optics 80119P

    [6]
    [7]

    Tong Q X, Zhang B, Zheng L F 2006 Hyperspectral Remote Sensing (Beijing: Higher Education Press) p38-59 (in Chinese)[童庆禧, 张兵, 郑兰芬2006高光谱遥感(北京: 高等教育出版社)第38-59页]

    [8]
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    Li R F, Shi F G, Qu L A 2001 Optoelectronic Technology Information 14 35 (in Chinese)[李睿凡, 师发刚, 瞿安连2001 光电子技术与信息14 35]

    [10]

    Li S P, Wang L Y, Yan B, Li L, Liu Y J 2012 Chin. Phys. B 21 108703

    [11]
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    [13]

    Zhang H M, Wang L Y, Yan B, Li L, Xi X Q, Lu L Z 2013 Chin. Phys. B 22 078701

    [14]

    Murayama Y, Ektessabi A I 2012 SPIE-IST 8296 829614

    [15]
    [16]

    Yu B 2003 Ph. D. Dissertation (Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy OF Sciences) (in Chinese)[于斌 2003 博士学位论文 (长春: 中国科学院长春光学精密机械与物理研究所)]

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    Tao Q C 2005 Ph. D. Dissertation (Chengdu: Sichuan University) (in Chinese)[陶青川2005博士学位论文 (成都: 四川大学)]

    [20]
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    Kong X L, Li Y T, Yuan X H, Yu Q Z, Zheng Z Y, Liang W X, Wang Z H, Wei Z Y, Zhang J 2006 Acta Phys. Sin. 55 2364 (in Chinese)[孔祥龙, 李玉同, 远晓辉, 于全芝, 郑志远, 梁文锡, 王兆华, 魏志义, 张杰 2006 物理学报 55 2364]

    [22]

    Zhao J 2006 M. S. Dissertation (Chengdu: Sichuan University) (in Chinese)[赵佳 2006 硕士学位论文 (成都: 四川大学)]

    [23]
    [24]
    [25]

    Liu Y 2006 M. S. Dissertation (Chengdu: Sichuan University) (in Chinese)[刘莹 2006 硕士学位论文(成都: 四川大学)]

    [26]

    Ly N H, Du Q, James E 2012 IEEE J. STARS 1939-1404

    [27]
    [28]

    Lyons D M 1997 A Diffractive Optic Image Spectrometer (DOIS) Rome: Rome Laboratory 59-70

    [29]
    [30]

    Wang W Y 2010 Comput. Eng. 36 227-228, 235 (in Chinese)[王文远2010 计算机工程 36 227-228, 235]

    [31]
    [32]
    [33]

    Jiang Q S, Wang J Y 2003 Acta Opt. Sin. 23 1335 (in Chinese)[蒋青松, 王建宇 2003 光学学报 23 1335]

    [34]
    [35]

    Gao J, Zhang F Y, Xie W, Qin Q Q 2012 Geomatics and Information Science of Wuhan University 37 322 (in Chinese)[高建, 张飞艳, 谢伟, 秦前清 2012 武汉大学学报信息科学版 37 322]

    [36]
    [37]

    Gonzalez R C, Woods R E (translated by Ruan Q Q, Ruan Y Z) 2009 Digital Image Processing (Beijing: Publishing House of Electronics Industry) pp134-136 (in Chinese)[拉斐尔L冈萨雷斯, 理查德E伍兹著(阮秋琦, 阮宇智译) 2009数字图像处理 (北京: 电子工业出版社) 第134-136页]

    [38]

    Wang K, Zeng Y, Ding Z H, Meng J, Shi G H, Zhang Y D 2010 Acta Phys. Sin. 59 2471 (in Chinese)[王凯, 曾焱, 丁志华, 孟婕, 史国华, 张雨东 2010 物理学报 59 2471]

    [39]
  • [1]

    Du H D, Huang S X, Shi H Q 2008 Acta Phys. Sin. 57 7685 (in Chinese)[杜华栋, 黄思训, 石汉青 2008 物理学报 57 7685]

    [2]

    Chen S, Ong Y H, Liu Q 2012 Proc. SPIE 8553 85531R

    [3]
    [4]
    [5]

    Valdivieso L G, Osorio C A, Guerrero J E 2011 22nd Congress of the International Commission for Optics 80119P

    [6]
    [7]

    Tong Q X, Zhang B, Zheng L F 2006 Hyperspectral Remote Sensing (Beijing: Higher Education Press) p38-59 (in Chinese)[童庆禧, 张兵, 郑兰芬2006高光谱遥感(北京: 高等教育出版社)第38-59页]

    [8]
    [9]

    Li R F, Shi F G, Qu L A 2001 Optoelectronic Technology Information 14 35 (in Chinese)[李睿凡, 师发刚, 瞿安连2001 光电子技术与信息14 35]

    [10]

    Li S P, Wang L Y, Yan B, Li L, Liu Y J 2012 Chin. Phys. B 21 108703

    [11]
    [12]
    [13]

    Zhang H M, Wang L Y, Yan B, Li L, Xi X Q, Lu L Z 2013 Chin. Phys. B 22 078701

    [14]

    Murayama Y, Ektessabi A I 2012 SPIE-IST 8296 829614

    [15]
    [16]

    Yu B 2003 Ph. D. Dissertation (Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy OF Sciences) (in Chinese)[于斌 2003 博士学位论文 (长春: 中国科学院长春光学精密机械与物理研究所)]

    [17]
    [18]
    [19]

    Tao Q C 2005 Ph. D. Dissertation (Chengdu: Sichuan University) (in Chinese)[陶青川2005博士学位论文 (成都: 四川大学)]

    [20]
    [21]

    Kong X L, Li Y T, Yuan X H, Yu Q Z, Zheng Z Y, Liang W X, Wang Z H, Wei Z Y, Zhang J 2006 Acta Phys. Sin. 55 2364 (in Chinese)[孔祥龙, 李玉同, 远晓辉, 于全芝, 郑志远, 梁文锡, 王兆华, 魏志义, 张杰 2006 物理学报 55 2364]

    [22]

    Zhao J 2006 M. S. Dissertation (Chengdu: Sichuan University) (in Chinese)[赵佳 2006 硕士学位论文 (成都: 四川大学)]

    [23]
    [24]
    [25]

    Liu Y 2006 M. S. Dissertation (Chengdu: Sichuan University) (in Chinese)[刘莹 2006 硕士学位论文(成都: 四川大学)]

    [26]

    Ly N H, Du Q, James E 2012 IEEE J. STARS 1939-1404

    [27]
    [28]

    Lyons D M 1997 A Diffractive Optic Image Spectrometer (DOIS) Rome: Rome Laboratory 59-70

    [29]
    [30]

    Wang W Y 2010 Comput. Eng. 36 227-228, 235 (in Chinese)[王文远2010 计算机工程 36 227-228, 235]

    [31]
    [32]
    [33]

    Jiang Q S, Wang J Y 2003 Acta Opt. Sin. 23 1335 (in Chinese)[蒋青松, 王建宇 2003 光学学报 23 1335]

    [34]
    [35]

    Gao J, Zhang F Y, Xie W, Qin Q Q 2012 Geomatics and Information Science of Wuhan University 37 322 (in Chinese)[高建, 张飞艳, 谢伟, 秦前清 2012 武汉大学学报信息科学版 37 322]

    [36]
    [37]

    Gonzalez R C, Woods R E (translated by Ruan Q Q, Ruan Y Z) 2009 Digital Image Processing (Beijing: Publishing House of Electronics Industry) pp134-136 (in Chinese)[拉斐尔L冈萨雷斯, 理查德E伍兹著(阮秋琦, 阮宇智译) 2009数字图像处理 (北京: 电子工业出版社) 第134-136页]

    [38]

    Wang K, Zeng Y, Ding Z H, Meng J, Shi G H, Zhang Y D 2010 Acta Phys. Sin. 59 2471 (in Chinese)[王凯, 曾焱, 丁志华, 孟婕, 史国华, 张雨东 2010 物理学报 59 2471]

    [39]
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Publishing process
  • Received Date:  23 February 2014
  • Accepted Date:  18 May 2014
  • Published Online:  05 September 2014

Error analysis and reconstruction for diffractive optic imaging spectrometer using the multiple iterations

  • 1. School of Instrumentation Science and Opto-electronics Engineering, Beihang University, Beijing 100191, China;
  • 2. Beijing Institute Of Space Mechanics & Electricity, Beijing 100094, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 61008047), the National High Technology Research and Development Program of China (Grant Nos. 2012AA12A30801, 2012YQ05250), the China Geological Survey Project (Grant No. 1212011120227), the Special Scientific Research Fund of Meteorological Public Welfare Profession of China (Grant No.201311036), and the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China (Grant No.IRT0705).

Abstract: Diffraction imaging spectrometer cannot acquire imaging spectral data without calculation and inversion. In this paper, the imaging process of the diffraction imaging spectrometer and the principle of the data error from both space and spectra are analyzed. To solve the problems of low definition of the reconstruction and the ringing in it occurring under the condition that the point spread function (PSF) is larger, a new algorithm is proposed based on improved inverse Wiener filtering. The improved method regards the reconstruction result of Wiener filtering as a new fuzzy image, and recalculates the PSF of the new fuzzy image based on the analysis of the diffraction characteristics and error. Inverse iterative Wiener filtering is used to improve the definition of the reconstruction, and then the noise needs to be removed according to the distribution of the spatial and spectral features. Simulated diffraction imaging spectral data are used to verify the correctness of the algorithm proposed in this paper. A reconstruction without ringing can be obtained when the standard deviation of PSF is 2.5, and both of the definition and detail ability are higher than those of the traditional reconstruction. The reconstruction using the improved algorithm proposed in this paper can satisfy the applications of the diffraction imaging spectral data.

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