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基于改进维纳逆滤波的衍射成像光谱仪数据误差分析与重构

李娜 贾迪 赵慧洁 苏云 李妥妥

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基于改进维纳逆滤波的衍射成像光谱仪数据误差分析与重构

李娜, 贾迪, 赵慧洁, 苏云, 李妥妥

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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  • 衍射成像光谱仪探测到的高光谱数据需要进行计算与反演才可以得到成像光谱数据,本文对衍射成像光谱仪的成像过程及数据误差产生的原理从空间维和光谱维两方面进行了分析,并针对其光谱重构过程中系统点扩散函数标准差较大时重构结果清晰度较低、存在振铃等问题,提出了基于改进维纳逆滤波的光谱数据重构算法,该方法在分析衍射成像光谱仪数据特点与误差的基础上,将每一次维纳逆滤波的重构结果视为新的模糊图像,利用成像过程及维纳逆滤波的基本原理确定新的模糊图像对应的点扩散函数,反复进行维纳逆滤波达到提高图像清晰度的效果,再根据图像自身的空间和光谱特征分布,进行自适应性的噪声去除. 利用模拟的衍射成像光谱数据进行验证,在系统点扩散函数的标准差为2.5的情况下,能得到无振铃的重构结果,且与传统维纳逆滤波法的重构结果进行比较,清晰度、细节能力等指标均有所提高,满足了衍射成像光谱数据应用需求.
    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.
    • 基金项目: 国家自然科学基金(批准号:61008047)、国家高技术研究发展计划(批准号:2012AA12A30801,2012YQ05250)、中国地质调查局项目(批准号:1212011120227)、公益性行业科研专项基金(批准号:201311036)和教育部长江学者和创新团队发展计划(批准号:IRT0705)资助的课题.
    • 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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  • [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 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 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 59 2471]

    [39]
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出版历程
  • 收稿日期:  2014-02-23
  • 修回日期:  2014-05-18
  • 刊出日期:  2014-09-05

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