面向遥感图像的倒易晶胞复原方法研究
|
摘要
倒易晶胞的复原方法是一种面向遥感图像的单帧图像复原方法。该方法通过在频域网格内去除或减少相邻频谱网格的频谱交叠,以达到去除混迭的目的。再结合传统的图像复原方法,进行去噪声和去模糊,最后恢复一幅较为清晰的图像。本文对倒易晶胞的复原算法进行深入的研究,主要有以下几方面的工作:
研究了遥感图像中混迭现象产生的原因,进行混迭量对图像影响的定量化测试。通过混迭进行量化,测试混迭量对Wiener结合倒易晶胞复原和TV(Total Variation)结合倒易晶胞方法的影响。并针对实验中的具体图像,限定倒易晶胞复原方法能够处理的混迭程度。
从对MTF(Modulation Transfer Function)补偿的角度分析,倒易晶胞的物理意义就是一个低通滤波器。它在滤波中的作用就是既尽量趋向理想的Shannon滤波器,又要使得倒易晶胞形状保持光滑。
研究倒易晶胞中去卷积的方法,通过实验发现倒易晶胞复原工作中可能存在的问题,即彩色混迭和彩色噪声现象。首次提出彩色混迭的概念,并给出彩色混迭的公式。从实验结果中,给出了彩色混迭和彩色噪声在倒易晶胞中的表现。
利用频域结合时频域,提出一种基于小波理论结合倒易晶胞的复原方法,把混迭考虑到数学模型中。既达到了去混迭的目的,又可得到比直接频域复原方法更好的复原效果。
研究了亚像元技术及其插值方法,提出一种基于两帧亚像元图像并结合中值滤波的小波复原方法,达到较好的复原效果。在此基础上进一步研究,又提出一种基于复小波的亚像元复原方法。该方法利用复小波进行插值和双变量层间去噪,与基于两帧亚像元图像的小波复原方法相比得到更好的复原效果。
Reciprocal cell restoration was based on single frame of satellite image. The restoration was transformed image into frequency domain. The superposition part of the frequency spectrum was removed between adjacent grids by proposed method. The conventional restorations were combined with the reciprocal cell to denoise and deblur. Finally, the clear image was obtained. This dissertation carried out a further study on the reciprocal cell theory and its restorations of remote image. Study has been done in the following aspects:
Firstly, the cause of the aliasing on remote sensing image was analyzed. In addition, the distortion of aliasing was tested quantificationally on images. The distortion of aliasing was special for the Wiener and TV(Total Variation) combined with reciprocal cell. The extent for the range of aliasing was defined through specific example images.
From the viewpoint of MTF(Modulation Transfer Function) Compensation, the physical meaning of reciprocal cell was a low-passed filter. It trends to Shannon filter and retained figure smooth at the same time.
Besides, the deconvolution of reciprocal cell was studied. There exsited phenomena in the proceeding of deconvolution, such as colour noise and colour aliasing. And the concept of colour aliasing was raised creatively here in the first time. The formula of colour aliasing was derived unprecedentedly. Whereafter, the manifestation of colour noise and colour aliasing were brought forth on frequency domain.
Moreover, the restoration of wavelet combined with reciprocal cell was proposed. The mathematic model was formulated with aliasing. The hybrid of Wavelet- Reciprocal cell could dealias, denoise and deblur, which was better than restorations on frequency domain.
Finally, the subpixel technique and its interpolations were studied. The wavelet interpolation of subpixel images and median filter was brought forward. After further study, the complex wavelet of subpixel technic was raised. The method was the hybrid between complex wavelet interpolation and denoising of dual-trees complex wavelet. Thereafter, test showed this algorithm could receive better results than the wavelet interpolation.
研究了遥感图像中混迭现象产生的原因,进行混迭量对图像影响的定量化测试。通过混迭进行量化,测试混迭量对Wiener结合倒易晶胞复原和TV(Total Variation)结合倒易晶胞方法的影响。并针对实验中的具体图像,限定倒易晶胞复原方法能够处理的混迭程度。
从对MTF(Modulation Transfer Function)补偿的角度分析,倒易晶胞的物理意义就是一个低通滤波器。它在滤波中的作用就是既尽量趋向理想的Shannon滤波器,又要使得倒易晶胞形状保持光滑。
研究倒易晶胞中去卷积的方法,通过实验发现倒易晶胞复原工作中可能存在的问题,即彩色混迭和彩色噪声现象。首次提出彩色混迭的概念,并给出彩色混迭的公式。从实验结果中,给出了彩色混迭和彩色噪声在倒易晶胞中的表现。
利用频域结合时频域,提出一种基于小波理论结合倒易晶胞的复原方法,把混迭考虑到数学模型中。既达到了去混迭的目的,又可得到比直接频域复原方法更好的复原效果。
研究了亚像元技术及其插值方法,提出一种基于两帧亚像元图像并结合中值滤波的小波复原方法,达到较好的复原效果。在此基础上进一步研究,又提出一种基于复小波的亚像元复原方法。该方法利用复小波进行插值和双变量层间去噪,与基于两帧亚像元图像的小波复原方法相比得到更好的复原效果。
Reciprocal cell restoration was based on single frame of satellite image. The restoration was transformed image into frequency domain. The superposition part of the frequency spectrum was removed between adjacent grids by proposed method. The conventional restorations were combined with the reciprocal cell to denoise and deblur. Finally, the clear image was obtained. This dissertation carried out a further study on the reciprocal cell theory and its restorations of remote image. Study has been done in the following aspects:
Firstly, the cause of the aliasing on remote sensing image was analyzed. In addition, the distortion of aliasing was tested quantificationally on images. The distortion of aliasing was special for the Wiener and TV(Total Variation) combined with reciprocal cell. The extent for the range of aliasing was defined through specific example images.
From the viewpoint of MTF(Modulation Transfer Function) Compensation, the physical meaning of reciprocal cell was a low-passed filter. It trends to Shannon filter and retained figure smooth at the same time.
Besides, the deconvolution of reciprocal cell was studied. There exsited phenomena in the proceeding of deconvolution, such as colour noise and colour aliasing. And the concept of colour aliasing was raised creatively here in the first time. The formula of colour aliasing was derived unprecedentedly. Whereafter, the manifestation of colour noise and colour aliasing were brought forth on frequency domain.
Moreover, the restoration of wavelet combined with reciprocal cell was proposed. The mathematic model was formulated with aliasing. The hybrid of Wavelet- Reciprocal cell could dealias, denoise and deblur, which was better than restorations on frequency domain.
Finally, the subpixel technique and its interpolations were studied. The wavelet interpolation of subpixel images and median filter was brought forward. After further study, the complex wavelet of subpixel technic was raised. The method was the hybrid between complex wavelet interpolation and denoising of dual-trees complex wavelet. Thereafter, test showed this algorithm could receive better results than the wavelet interpolation.
引文
[1]金君.遥感成像观测技术综述[J].东北测绘.2000,23(4):7-8.
[2]刘勇卫,贺雪鸿译.遥感精解[M].北京:测绘出版社,1993.
[3]Hoist G C.CCD Arrays[M].Cameras and DisPlays.SPIE Optical Engineering Press.Bellingham,WA,1996
[4]李德熊.遥感技术[M].北京:北京工业学院出版社,1987.
[5]宫鹏等.对地观测技术与地球系统科学[M].北京:科学出版社,1996.
[6]申家双,陈波,翟京生等.现代小卫星技术在对地观测中的应用[J].海洋测绘.2008,28(1):75-79.
[7]李树楷.全球资源环境遥感分析[M].北京:测绘出版社,1992.
[8]郭华东,徐冠华.星载雷达应用研究[M].北京:中国科学技术出版社,1996.
[9]陈述彭,童庆喜,郭华东.遥感信息机理研究[M].北京:科学出版社,1998.
[10]潘析哲.星载SAR图像处理[M].北京:科学出版社,1996.
[11]马蔼乃.遥感信息模型[M].北京:北京大学出版社,1997.
[12]邵茜.线阵CCD卫星遥感影像成像处理模型研究[D].解放军信息工程大学.2006.
[13]满益云,陈世平,刘兆军等.MTFC在光学遥感成像系统优化设计中的应用研究[J].航天返回与遥感.2007,28(4):39-47.
[14]Spot5 SuperMode.(www.spotimage.com).2003.
[15]Kubik P,Pascal V,Lussy F D.Pleiades-HR image quality design[A].ACSM-ASPRS Annual Conference Proceedings.2002。
[16]满益云,胡永力,王小勇.从图像处理的观点出发来看光学遥感器的成像质量[J].航天返回与遥感.2006,27(1):18-22.
[17]Lamard J L,Delrieu C G,Valentini D,et al.Design of the high resolution optical instrument for the Pleiades HR Earth Observation Satellites[A].Proceedings of 5th International Conference on Space Optics.Toulouse,France,2004.
[18]Damilano P.Pléiades High Resolution Satellite:a solution for military and civilian needs in Metric-Class Optical Observation[A].AIAA/USU Conference on Small Satellites.2001.
[19]Perret L,Boussarie E,Lachiver J M,Damilano P.The Pléiades system high resolution optical satellite and its performances[A].Proceedings of the 53rd IAC/World Space Congress,Houston,2002.
[20]邹谋炎.反卷积和信号复原[M].北京:国防工业出版社,2001.
[21]何静,程新文,姚远。CBERS-1卫星02号星图像MTF复原及其结果分析评价[J].测绘科学.2007,32(2):108-110.
[22]耿则勋,钱曾波。小波变换的边界处理[J].测绘学报.1996,(3):165-172.
[23]Schowengerdt R A,Archwamety C,Wrigley R C.Landsat Thematic Mapper image-derived MTF[J].Photogrammetric Engineering and Remote Sensing,1985,51(9):1395-1406.
[24]Wrigley R C,Card D H,Hlavka C A,et al.Thematic mapper image quality:registration,noise,and resolution[J].IEEE Transaction Geoscience and Remote Sensing,1984,22(3):263-271.
[25]Rauchmiller R F,Schowengerdt R A.Measurement of the Landsat Thematic Mapper MTF using an array of point soutces[J].Optical Engineering,1988,27(4):334-343.
[26]Park S C,Park M K,and Kang M G.Super-Resolution Image Reconstruction:A Technical Overview.IEEE Signal Processing Magazine.2003,20(3):21-36.
[27]Huang T S and Tsay R Y.Multiple frame image restoration and registration.IN Advances in computer vision and Image Processing,1984,1:317-339.
[28]Elad M and Feuer A.Restoration of a single super-resolution image from several blurred,noisy,and undersampled measured images[J].IEEE Transactions on Image Processing,1997,6(12):1646-1658.
[29]Farsiu S,Robinson D,Elad M and Milanfar P.Fast and Robust Multi-Frame Super-Resolution[A].IEEE Trans.IP,2004,13(10):1327-1344.
[30]Kim S P,Bose N K and Valenzuela H M.Recursive reconstraction of high-resolution image from noisy undersampled frames[A].IEEE Trans.Acoust.,Speech and Sign.Proc.1990,38:1013-1027.
[31]仲伟波,宁书年,金声震,林捷.遥感成像噪声分析及基于PCNN的滤除方法[J].煤炭学报.2004,29(4):418-421.
[32]杨小雷.基于小波变换的遥感红外图像处理[J].红外.2005(3):11-14.
[33]路鹏,刘财,刘万松等.中值滤波技术在遥感图像处理中的应用[J]。吉林大学学报.2005,35:151-154.
[34]李盛阳,朱重光.DMC卫星图像MTF分析及其复原方法研究[J].遥感学报.2005,9(4):475-479.
[35]周峰.提高采样式光学遥感器图像空间分辨率的方法研究[D].中国空间技术研究院.2005.
[36]吴昀昭,宫鹏.北京一号小卫星MTF在轨测量与图像复原[J].遥感应用.2007(3):49-53.
[37]陈世平,姜伟.航天光学采样成像系统MTF的优化设计与MTFC[J].航天返回与遥感.2007,28(4):17-22.
[38]张坤,洪汉玉,孙协昌,张天序.基于波前测量的图像复原技术综述[J].红外与激光工程.2007,36(1):131-134.
[39]蔡新明.基于卫星遥感图像的MTF计算和分析[D].南京理工大学。2007.
[40]Kang M G,Katsagglos A K.Frequency domain adaptive iterative image restoration and evaluation of the regularization parameter[A].Proceedings of SPIE-The International Society for Optical Engineering.1992,1818(3):1414-1424.
[41]Bilcu R C,Trimeche M,Alenius S,Vehvilainen M.Regularized iterative image restoration in the blur space[J].WSEAS Transactions and Communications.2005,4(7):407-416.
[42]Maeda J,Murata K.Image restoration by an iterative regularized pseudoinverse method[J].Applied Optics.1984,23(6):857-861.
[43]Kang M G,Katsaggelos A K.Frequency-domain adaptive iterative image restoration and evaluation of the regularization parameter[J].Optical Engineering.1994,33(10):3222-3232.
[44]Denny T S,Reeves S J.Bayesian image reconstruction from Fourier-domain samples using prior edge information[J].Journal of Electronic Imaging.2005,14(4).
[45]Sebastiani G,Godtilebsen F.On the use of Gibbs priors for Bayesian image restoration [J].Signal processing.1997,56(1):111-118.
[46]Galatsanos N P,Mesarvic V Z,Molina Rand,et al.Hierarchical Bayesian image restoration from partially known blurs[J].IEEE Transactions on Image Processing.2000(9):1784-1797.
[47]Molina R,Nunez J,Cortijo F J,Mateos J.Image restoration in astronomy:A bayesian perspective[J].IEEE Signal Processing Magazine.2001,18(2):11-29.
[48]Zhang L,Kondo H.Image restoration using spatially variant innovative inverse filter with edge sharpening[J].Journal of the Institute of Image Information and Television Engineers.2002,56(5):815-825.
[49]Ndjountche T,Unbehauen R.Image restoration:The wavelet-based approach[J].International Journal of Pattern Recognition and Artificial Intelligence.2003,17(1):151-162.
[50]Lu J Y,Yoshida Y.Region-adaptive image restoration using wavelet denoising technique[J].IEICE Transactions on Information and Systems.2002(1):286-290.
[51]Premaratne P,Burnett I.Role of wavelet transforms in image restoration[A].IEEE Region 10 Annual International Conference,Proceedings/TENCON.2004:243-246.
[52]Wan Y.Nowak R D.A wavelet-based statistical model for image restoration[A].IEEE International Conference on Image Processing.2001,1:598-601.
[53]Banham M R,Katsaggelos A K.Multiscale adaptive image restoration in the wavelet domain[A].IEEE International Conference on Image Processing.1994,3:187-191.
[54]Liu J,Moulin E Image restoration using statistical wavelet models[A].Proceedings of SPIE-The International Society for Optical Engineering.2001,4478:20-33.
[55]Jalobeanu A,Kingsbury N,Zerubia J.Image deconvolution using hidden Markov tree modeling of complexwavelet packets[A].Image Processing,Proceedings.2001,1:201-204.
[56]Wu J,Huang H,Tian J,Liu J.Remote sensing image data fusion based on local deviation of wavelet packet transform[A].Autonomous Decentralized Systems Proceedings.2005:372-377.
[57]Hai D,Hao L.Clutter reduction for synthetic aperture radar images adaptive wavelet packet transform[J].Antennas and Propagation Society International Symposium,IEEE.1999,3:1780-1783.
[58]Bin W,Liming Z.Automated removal of ghost noise from SAR images using wavelet package transform[J].Geoscience and Remote Sensing,IEEE Transactions.2003,41(10):2409-2414.
[59]Wen C,Bicheng L,Yong Z.A remote sensing image fusion based on PCA transform and wavelet packect transform[J].Neural Network and Signal Processing.2003,2:976-981.
[60]迟学芬,韩昌元,金辉。CCD推扫遥感成像中的欠采样噪声处理[J].电子学报.2003,31(9):1323-1326.
[61]杨宗侃.一维及二维光子晶体能带结构之研究[D].台湾逢甲大学.1993.
[62]Bovik A.图像与视频处理手册.电子工业出版社.2006.
[63]Rouge B.Space-scale-frequency representation and fixed chosen noise restoration[A].Time-Frequency and Time-Scale Analysis.Proceedings of the IEEE-SP International Symposium.1994:302-305.
[64]Malgouyres F,Guichard F.Edge Direction Preserving Image Zooming:A Mathematical and Numerical Analysis[J].SIAM Journal on Numerical Analysis.2001:1-33.
[65]Guichard F,Moisan L,Morel J.A review of p.d.e,models in image processing and image analysis[J].Journal de Physique Ⅳ.2002:1-18.
[66]Morel J M,Ladjal S.Analyse de fourier et theorie de shannon.Analyse de Fourier et traitement d' images[M].Centre de Mathematiques-Ecole Polytechnique.France,1998
[67]Bony J M.Cours d' analyse.Yheorie des distributions et analyse de Fourier[M].Les Editions delEcole Polytechnique,2001.
[68]Gasquet C,Witomski P.Analyse de Fourier et Applications[M].Masson,1995.
[69]Almansa A,Durand S,Rougé B.Measuring and improving image resolution by adaptation of the reciprocal cell[J].Journal of Mathematical Imaging and Vision.2004,21(3):235-279.
[70]Blanchet M G..Study of the blur,ringing and aliasing artifacts in numerical imaging.Application to restoration[D].CACHAN,France.2006.
[71]刘政凯,翟见熊.数字图像恢复与重建[M].合肥:中国科学技术大学出版社.1989.
[72]洪汉玉,张天序.基于多分辨率盲目去卷积的气动光学效应退化图像复原算法[J].计算机学报.2004,27(7):952-963.
[73]刘正军,王长耀,骆成凤.CBERS-1 PSF估计与图像复原[J].遥感学报,2004,8(3):234-238.
[74]Guan L,Ward R K.Restoration of randomly blurred images by the Wiener filter[J].IEEE Transactions on Acoustics,Speech& Signal Processing.1989,37(7):589-592.
[75]Zervakis M.E,Venetsanopoulos A N.Iterative least squares estimators in nonlinear image restoration[J].IEEE Transactions on Signal Processing,1992,40(4):927-945.
[76]Gopal A,Samant A A.Bar-Pattern technique for Modulation Transfer Function measurement in portal imaging[A].Proceedings of SPIE.2003,5030:433-444.
[77]Nichols C,Bryant P,and Alexay C.Advances in Infrared Lens characterization:measurement of MTF using common undersampled IR systems[A].Infrared Imaging Systems:Design,Analysis,Modeling,and Testing ⅩⅧ,Proc.of SPIE.2007.
[78]Léger D,Viallefont F,Hillairet E,Meygret A.In-flight refocusing and MTF assessment of SPOT5 HRG and HRS cameras[A].Sensors,Systems,and Next-Generation Satellites Ⅵ,Proceedings of SPIE.2003,4881:224-231.
[79]Li G,Wang X,Zhou H,Hao Z.On orbit MTF measurement of remote sensing camera based on wavelet transform[A].ICO20:Remote Sensing and Infrared Devices and Systems.Proc.of SPIE.2006,6031.
[80]Kim K H,Kang D W,Kim d K,Kim Y K.Unified MTF for scintillator-coupled CMOS sensor[J].Nuclear Instruments and Methods in Physics Research.2007,579:235-238.
[81]Breluzeau C,Parrain Fand,et al.In-plane vibration measurement of microdevices by the knife-edge technique in reflection mode[A].Proceedings of SPIE-The International Society for Optical Engineering.2006,6345.
[82]Jun Z,Rong-zhu Z,Bang-wei C,Panlong L.Research on technology of digital knife-edge test[A].Proceedings of SPIE-The International Society for Optical Engineering.2006,6150.
[83]Hao Q,Sha D G,Zheng N M.Calculation and analysis of knife-edge and slit scanning in OTF measuring equipment[J].Optical Technique.2001,27(1):41-43.
[84]王鸿南 卫星在轨MTF测评研究及应用[D]。南京理工大学.2004.
[85]Shon C H,Chong W Y,Jeon S Gand,et al.High speed terahertz pulse imaging in the reflection geometry and image quality enhancement by digital image processing[J].International Journal of Infrared and Millimeter Waves.2008,29(1):79-88.
[86]Zhang J Y,Dong J Y,Shi M H.An adaptive method for image filtering with pulse-coupled neural networks[A].Proceedings-International Conference on Image Processing,ICIE 2005,2:133-136.
[87]Huang W,Jing Z L.Multi-focus image fusion using pulse coupled neural network[J].Pattern Recognition Letter.2007,28(9):1123-1132.
[88]Jensen J R.遥感数字影像处理导论[M].北京:机械工业出版社,2007.
[89]李晓晓.失真图像的复原理论及实验研究[D].河北工业大学.2004.
[90]Wenruo B,Baofeng Z,Qianqian B.Adaptive wiener filter based on wavelet transform[A].Proceedings of SPIE-The International Society for Optical Engineering.2007.
[91]Kazubek M.Improving local Wiener filtering using matched filter[A].IEE Proceedings:vision,Image and Signal Processing.2006:501-506.
[92]Xinzheng Z,Peikang H,Ping Z.Fearture enhancement of SAR imagery using filtering in multi-wavelet domain[A].Proceedings of SPIE-The international Society for Optical Engineering.2007.
[93]Hardie R.A fast image super-resolution algorithm using an adaptive Wierner filter[J].IEEE Transactions on Image Processing.2007,16(12):2953-2964.
[94]Ercelebi E,Koc S.Lifting-based wavelet domain adaptive Wiener filter for image enhancement[A].IEE Proceedings:Vision,Image and Signal Processing.2006,153(1):31-36.
[95]Tates M,Nasrabadi N,Kwon H,White C.Wiener filter-based change detection for SAR imagery[A].Proceedings of SPIE-The international Society for Optical Engineering.2006,6237.
[96]Arslan L.Modified Wiener filtering[J].Signal Processing.2006,86(2):267-272.
[97]Das M.An improved adaptive wiener filter for de-noising and signal detection[A].Proceeding of the Seventh IASTED International Conference on Signal and Image Processing.2005:226-230.
[98]吴显金.自适应正则化图像复原方法研究[D].国防科学技术大学.2006
[99]Gonzalez R C,Woods R E。数字图像处理[M].北京:电子工业出版社,2006.
[100]Bertero M,Boccacci P.A simple method for the reduction of boundary effects in the Richardson-Lucy approach to image deconvolution[J].Astronomy and Astrophysics.2005,444(3):983-993.
[101]Vio R,Bardsley J,Wamsteker W.Least-squares methods with Poissonian noise:Analysis and comparison with the Richardson-Lucy algorithm[J].Astronomy and Astrophysics.2005,436(2):741-755.
[102]Zongqing Z,Yongkun Dand,et al.Richardson-Lucy method for decoding x-ray ring code image[J].Plasma Physics and Controlled Fusion.2007,49(8):1145-1150.
[103]Costello T,Mikhael W.One-dimensional comparison of Wiener filtering and Richardson-Lucy methods for sectioned restoration of space-variant digital images[J].IEEE Transactions on Circuits and Systems Ⅰ:Fundamental Theory and Applications.2002,49(4):518-522.
[104]唐新建.图像复原正则化方法研究[D].华中科技大学.2006.
[105]Bouzerdoum A.Combined quadratic optimization/median filtering technique for image restoration[A].Proceedings of the IEEE International Conference on Systems.1998,5:4447-4452.
[106]Wang J H,Lin L Do Improved median filter using minmax algorithm for image processing[J].Electronics Letters.1997,33(16):1362-1364.
[107]Lee T S.Image representation using 2D Gabor wavelets[J].IEEE Transactions on Pattern Analysis and Machine Intelligence.1996,18(10):959-971.
[108]Elbakary M,Sundareshan M K.Accurate representation of local frequency using a computationally efficient Gabor filter fusion approach with application to image registration[J].Pattern Recognition Letters.2005,26(14):2164-2173.
[109]Panda R,Chatterji B N.Gabor function:an efficient tool for digital image processing[J].IETE Technical Review.1996,13(4-5):225-231.
[110]Gabor filte(http://www.bmva.ac.uk/bmvc/1997/papers/033/node2.html).1997.
[111]Fox M J.Undersampled focal plane detection of imagery from a sparse telescope array[D].The University of Arizona.1993.
[112]周峰.提高航天传输型CCD相机地面像元分辨率方法研究[J].航天返回与遥 感.2002,23(3):35-42.
[113]周峰.关于亚像元成像技术几个问题的探讨[J].航天返回与遥感.2002,23(4):26-33.
[114]Unser M.Sampling—50 Years after Shannon[A].Proc.IEEE.2000,88:569-587.
[115]Boggess A,Narcowich F J。小波与傅里叶级数分析基础[M].北京:电子工业出版社,2005.
[116]王莉.正点阵与倒易点阵中的对应关系[J].唐山师范学院学报.2004,26(5):15-16.
[117]张海涛,赵达尊.光电成像系统混淆效应的定量分析[J].光学学报.1999,19(12):1649-1654.
[118]马文坡.采样成像系统中的混叠问题研究[J].航天返回与遥感.2002,22(3):22-25.
[119]Driggers R G,et al.Sampled imaging sensor design using the MTF squeeze model to characterize spurious response[A].Proceedings of SPIE.1999,3701:61-73.
[120]应怀樵,沈松,刘进明.频率混叠在时域和频域现象中的研究[J].振动、测试与诊断.2006,26(1):1-4.
[121]汪安民,王殊,陈明欣。一种抗混叠的非均匀周期采样及其频谱分析方法[J].信号处理.2005,21(3):240-243。
[122]Seidner D,Feder M.Noise amplification of period nonuniform sampling[J].IEEE Transactions on Signal Processing,2000,48(1):275-277.
[123]张科科,乌崇德,傅丹鹰.采样式成像系统中混叠影响的初步研究[J].航天返回与遥感.2004,25(4):50-53。
[124]郝云彩,杨秉新,张国瑞等。提高线阵CCD相机MTF的细分采样理论与方法[J],航天返回与遥感.1999,20(2):27-31.
[125]迟学芬.基于信息理论的采样成像系统评价与系统技术研究[D].中国科学院长春光学精密机械与物理研究所。2003。
[126]Latry C,RougéB.In flight commissioning of SPOT5 THR quincunx sampling mode[A].Proceedings of SPIE,2003,4881:189-199.
[127]RougéB.Théorie de la chaine image et restauration d'image optique à bruit final fixé[J].Mémoire d'habilitation à diriger des recherches,France,1997.
[128]Rudin L,Osher S,and Fatemi E.Nonlinear total variation based noise removal algorithms[J].Physica D,1992,60:259-268.
[129]Malgouyres F,Guichard F.Edge direction preserving image zooming:a mathematical and numerical analysis[J].Journal on Numerical Analysis.2001, 39(1):1-37.
[130]Malgouyres F,Minimizing the total variation under a general convex constraint for image restoration[J].IEEE transactions on image processing.2002,11:1450-1456.
[131]Guichard F,Malgouyres F.Total variation based interpolation[A].The Proceedings of the European Signal Processing Conference.1998,3:1741-1744.
[132]Durand S,Malgouyres F,Rougé B.Image de-blurting,spectrum interpolation and application to satellite imaging[J].Control Optimisation and Calculus of Variation.2000,5:445-477.
[133]王元明,徐君祥.索伯列夫空间讲义[M].江苏南京:东南大学出版社.2003.
[134]Mallat S.A wavelet tour of signal processing[M].Academic Press.1997.
[135]Molina R,Mateos J.Multichannel image restoration in Astronomy[J].Vistas Astron.1997,41(3):373-379.
[136]Banhan M B,Gonzalez H.Multichannel restoration of single channel images using a wavelet deconvolution[A].IEEE Proc.ICASSP.1993:281-284.
[137]Banham M R,Galatsanos N P.Multichannel restoration of single channel images using a wavelet based subband decomposition[J],IEEE Trans.on images processing.1994,3(6):821-833.
[138]Antonini M,Barlaud M.,Mathieu P,and Daubechies I.Image coding using wavelet transforms[J].IEEE Trans.Image Processing,1992,1:205-220.
[139]Chambolle A,DeVore R A,Lee N Y,and Lucier B J.Nonlinear wavelet image processing:Variational problems,compression,and noise removal through wavelet shrinkage[J].IEEE Trans.Image Processingo 1998,7:19-355.
[140]潘泉,张磊,孟晋丽.小波滤波方法及应用[M]。北京:清华大学出版社,2005.
[141]Donoho D.Nonlinear solution of linear invese problems by wavelet-vaguelette decompositions.J.of Appl.And Comput.Harmonic Analysis.1995,2(2):101-126.
[142]Kalifa J,Mallat S.Thresholding estimators for linear inverse problems.Ann.Statist.2003,31.
[143]Daubechies I,Ten lectures on wavelets.Philadelphia[M],PA:SIAM,1992.
[144]Donoho D L.Unconditional bases are optimal bases for data compression and for statistical estimation[M].Appl.Comput.Harmon.Anal.1993,1:100-115.
[145]Mix D F,Olejniczak K J.小波基础及应用教程[M].北京:机械工业出版社,2005.
[146]董湘君.基于小波域的数字图像复原研究[D].华南师范大学,2005.
[147]Donoho D L.De-noising by soft-thresholding[J].IEEE Trans.Inform.Theory. 1995,41(3):613-627.
[148]Donoho D L,Johnstone I M.Adapting to unknown smoothness via wavelet shrinkage[J].Journal of the American Statistical Association.1995,90:1200-1224.
[149]Donoho D L,Johnstone I M.Idial denoising in an orthanormal basis chosen from a library of bases[A].C.R.Acad.Sci.Paris,1994:1317-1322.
[150]Donoho D L,Johnstone I M.Ideal spatial adaptation via wavelet shrinkage[J].Biometrika,1994,81:425-455.
[151]Neelamani R,Choi H and Baraniuk R G.Wavelet-based deconvolution using optimally regularized inversion for ill-conditioned systems[A].Wavelet Applications in Signal and Image Processing Ⅶ,Proc.SPIE.1999,3813:58-72.
[152]Donoho D L.Nonlinear solution of linear inverse problems by Wavelet-Vaguelette Decomposition[J].Appl.Comput.Harmon.Anal.1995,2:101-126.
[153]Nowak R D,Thul M J.Wavelet-Vaguelette restoration in photon-limited imaging [A].Proc.IEEE ICASSP.Seattle,WA.1998:2869-2872.
[154]Daubechies I.Orthonormal basis of compactly supported wavelets[J].Comp.Pure Appl.Math.1988,46:909-996.
[155]Neelamani R,Choi H,Baraniuk R.ForWaRD:Fourier-Wavelet regularized deconvolution for Ill-Conditioned Systems[J].IEEE TRANSACTIONS ON SIGNAL PROCESSING.2004,2(52):418-433.
[156]Neelamani R,Choi H,Baraniuk R G.Wavelet-based deconvolution using optimally regularized inversion for ill-conditioned systems[A].Wavelet Applications in Signal and Image Processing Ⅶ,Proc.SPIE.1999,3813:58-72.
[157]DeVore R A,Jawerth B,Lucier B J.Image compression through wavelet transform coding[J].IEEE Trans.Inform.Theory.1992,38:719-746.
[158]DeVore R A,Lucier B J.Classifying the smoothness of images:Theory and applications to wavelet image processing[A],ICIP{94:Proceedings of the 1994 IEEE International Conference on Image Processing,Austin,IEEE Press,Los Alamitos,CA,1994.
[159]Berkner K,Gormish M J,Schwartz E L.Multiscale sharpening and smoothing in Besov spaces with applications to image enhancement[J].Appl.Comput.Harmon.Anal.2001,11:2-31.
[160]肖庭延,于慎根,王彦飞.反问题的数值解法[M].北京:科学出版社,2003.
[161]Wang G,Pan G W.Solution of inverse problems in image processing by wavelet expansion[J],IEEE Trans.on image proc.1995,4(5):579-593.
[162]Nguyen N.Numerical techniques for image super-resolution[D].Standford University,Standford,California,United States of America,2000.
[163]Zhong-ding J,Hai L,Hu-jun B and et al.A super-resolution method with EWA[J].Comput.Sci.& Technol.2003,18(6):822-832.
[164]Ur H,Gross D.Improved resolution from subpixel shifted pictures[J].Graphical Models and Image Processing,1992,54(2):181-186.
[165]Nguyen N and Milanfar P.A Wavelet-Based interpolation-restoration method for superresolution[A],Invited Paper,Circuits,Systems,and Signal Processing,Special issue on advanced signal and image reconstruction,2000,19(4):321-338.
[166]李盛阳.图像盲复原与改善空间分辨率研究[D].中国科学院.2006。
[167]Chen Z K,Mohammad A K,Majeed M H.Elimination of higher aliasings by multiple interlaced sampling[J].Opt.Eng.1999,38(5):879-885.
[168]姚新程,李兆霖,郭红莲,等.一种实现CCD亚像元位移分辨率的新方法[J].仪器仪表学报,2002,23(1):60-63.
[169]周峰,王世涛,王怀义,关于亚像元成像技术几个问题的探讨[J],航天返回与遥感,2002,Vol.23,No.4,26-32.
[170]谭兵,刑帅,徐青,等.SPOT5超模式数据处理技术研究[J].遥感技术与应用,2004,19(4):249-252.
[171]刘新平,王虎,汶德胜。亚像元线阵CCD焦平面的光学拼接[J].光子学报,2002,31(6):781-784.
[172]刘新平,高瞻,邓年茂等.面阵CCD作探测器的“亚像元”成像方法及实验[J],科学通报.1999,44(15):1603-1605。
[173]钱霖.两帧图像的“亚象元”技术提高探测图像的空间分辨率[J].激光杂志。2004,25(6):54-57.
[174]Latry C,Rouge B.SPOT5 THR MODE[A].Proceeding of SPIE.San Diego,California.1998,3439.
[175]Castleman K R.Digital image processing[M].北京:清华大学出版社,1998:117-119.
[176]苏金明,王永利.MATLAB7.0实用指南[M].北京:电子工业出版社,2004:41-43.
[177]王广君,房建成.一种星图识别的星体图像高精度内插方法[J].北京航空航天大学学报,2005,31(5):566-569.
[178]张新明,沈兰荪.在小波变换域内实现图像的超分辨率复原[J].计算机学报,2003,26(9):1183-1189.
[179]Nguyen N,Milanfa P and Golub G H.A computationally efficient super-resolution image reconstruction algorithm[J].IEEE Transactions on Image Processing,2001,10(4):573-583.
[180]Ford C,Etter D.Wavelet basis reconstruction of nonuniformly sampled data[J].IEEE Trans on Circuits and Systems Ⅱ,1998,45(8):1165-1168.
[181]卢珏.基于小波的图像插值研究[J].武汉理工大学学报,2003,25(1):81-83.
[182]Kingsbury N G.Complex Wavelets for Shift Invariant Analysis and Filtering of Signals[J].Applied Computational and Harmonic Analysis,2000,10(3):234-253.
[183]Kingsbury N G,Image processing with complex wavelets[R],Phil.Trans.Royal.Society.London A,1999.
[184]Sendur L,Selesnick I W.Subband adaptive image denoising via bivariate shrinkage[A],IEEE ICIP,2002,Ⅲ:577-580.
[185]Chang S G,Yu B,Vetterli M.Spatially adaptive wavelet thresholding with context modeling for image denoising[J],IEEE Trans.Image Processing 2000,19:1522-1531.
[186]张智,夏德深,孙权森.一种亚像元遥感图像的小波插值及滤波方法[J].南京理工大学学报.2008,32(2):195-226.
[187]张智,韦志辉,夏德深。一种亚像元遥感图像的小波复原方法[J].计算机科学。2008,35(2):223-225.
[188]Zhang Zhi,De-shen X.A Filting Method of Multi-degree Shift Invariant Wavelet based on Satellite Image[A],The Fifth International Conference on Wavelet Analysis and Pattern Recognition(ICWAPR),Proc.IEEE.2007,4:1904-1909.
[189]张智,夏德深.倒易晶胞和小波相结合的图像复原方法[J].计算机辅助设计与图形学报.2008,20(4):512-519。
[2]刘勇卫,贺雪鸿译.遥感精解[M].北京:测绘出版社,1993.
[3]Hoist G C.CCD Arrays[M].Cameras and DisPlays.SPIE Optical Engineering Press.Bellingham,WA,1996
[4]李德熊.遥感技术[M].北京:北京工业学院出版社,1987.
[5]宫鹏等.对地观测技术与地球系统科学[M].北京:科学出版社,1996.
[6]申家双,陈波,翟京生等.现代小卫星技术在对地观测中的应用[J].海洋测绘.2008,28(1):75-79.
[7]李树楷.全球资源环境遥感分析[M].北京:测绘出版社,1992.
[8]郭华东,徐冠华.星载雷达应用研究[M].北京:中国科学技术出版社,1996.
[9]陈述彭,童庆喜,郭华东.遥感信息机理研究[M].北京:科学出版社,1998.
[10]潘析哲.星载SAR图像处理[M].北京:科学出版社,1996.
[11]马蔼乃.遥感信息模型[M].北京:北京大学出版社,1997.
[12]邵茜.线阵CCD卫星遥感影像成像处理模型研究[D].解放军信息工程大学.2006.
[13]满益云,陈世平,刘兆军等.MTFC在光学遥感成像系统优化设计中的应用研究[J].航天返回与遥感.2007,28(4):39-47.
[14]Spot5 SuperMode.(www.spotimage.com).2003.
[15]Kubik P,Pascal V,Lussy F D.Pleiades-HR image quality design[A].ACSM-ASPRS Annual Conference Proceedings.2002。
[16]满益云,胡永力,王小勇.从图像处理的观点出发来看光学遥感器的成像质量[J].航天返回与遥感.2006,27(1):18-22.
[17]Lamard J L,Delrieu C G,Valentini D,et al.Design of the high resolution optical instrument for the Pleiades HR Earth Observation Satellites[A].Proceedings of 5th International Conference on Space Optics.Toulouse,France,2004.
[18]Damilano P.Pléiades High Resolution Satellite:a solution for military and civilian needs in Metric-Class Optical Observation[A].AIAA/USU Conference on Small Satellites.2001.
[19]Perret L,Boussarie E,Lachiver J M,Damilano P.The Pléiades system high resolution optical satellite and its performances[A].Proceedings of the 53rd IAC/World Space Congress,Houston,2002.
[20]邹谋炎.反卷积和信号复原[M].北京:国防工业出版社,2001.
[21]何静,程新文,姚远。CBERS-1卫星02号星图像MTF复原及其结果分析评价[J].测绘科学.2007,32(2):108-110.
[22]耿则勋,钱曾波。小波变换的边界处理[J].测绘学报.1996,(3):165-172.
[23]Schowengerdt R A,Archwamety C,Wrigley R C.Landsat Thematic Mapper image-derived MTF[J].Photogrammetric Engineering and Remote Sensing,1985,51(9):1395-1406.
[24]Wrigley R C,Card D H,Hlavka C A,et al.Thematic mapper image quality:registration,noise,and resolution[J].IEEE Transaction Geoscience and Remote Sensing,1984,22(3):263-271.
[25]Rauchmiller R F,Schowengerdt R A.Measurement of the Landsat Thematic Mapper MTF using an array of point soutces[J].Optical Engineering,1988,27(4):334-343.
[26]Park S C,Park M K,and Kang M G.Super-Resolution Image Reconstruction:A Technical Overview.IEEE Signal Processing Magazine.2003,20(3):21-36.
[27]Huang T S and Tsay R Y.Multiple frame image restoration and registration.IN Advances in computer vision and Image Processing,1984,1:317-339.
[28]Elad M and Feuer A.Restoration of a single super-resolution image from several blurred,noisy,and undersampled measured images[J].IEEE Transactions on Image Processing,1997,6(12):1646-1658.
[29]Farsiu S,Robinson D,Elad M and Milanfar P.Fast and Robust Multi-Frame Super-Resolution[A].IEEE Trans.IP,2004,13(10):1327-1344.
[30]Kim S P,Bose N K and Valenzuela H M.Recursive reconstraction of high-resolution image from noisy undersampled frames[A].IEEE Trans.Acoust.,Speech and Sign.Proc.1990,38:1013-1027.
[31]仲伟波,宁书年,金声震,林捷.遥感成像噪声分析及基于PCNN的滤除方法[J].煤炭学报.2004,29(4):418-421.
[32]杨小雷.基于小波变换的遥感红外图像处理[J].红外.2005(3):11-14.
[33]路鹏,刘财,刘万松等.中值滤波技术在遥感图像处理中的应用[J]。吉林大学学报.2005,35:151-154.
[34]李盛阳,朱重光.DMC卫星图像MTF分析及其复原方法研究[J].遥感学报.2005,9(4):475-479.
[35]周峰.提高采样式光学遥感器图像空间分辨率的方法研究[D].中国空间技术研究院.2005.
[36]吴昀昭,宫鹏.北京一号小卫星MTF在轨测量与图像复原[J].遥感应用.2007(3):49-53.
[37]陈世平,姜伟.航天光学采样成像系统MTF的优化设计与MTFC[J].航天返回与遥感.2007,28(4):17-22.
[38]张坤,洪汉玉,孙协昌,张天序.基于波前测量的图像复原技术综述[J].红外与激光工程.2007,36(1):131-134.
[39]蔡新明.基于卫星遥感图像的MTF计算和分析[D].南京理工大学。2007.
[40]Kang M G,Katsagglos A K.Frequency domain adaptive iterative image restoration and evaluation of the regularization parameter[A].Proceedings of SPIE-The International Society for Optical Engineering.1992,1818(3):1414-1424.
[41]Bilcu R C,Trimeche M,Alenius S,Vehvilainen M.Regularized iterative image restoration in the blur space[J].WSEAS Transactions and Communications.2005,4(7):407-416.
[42]Maeda J,Murata K.Image restoration by an iterative regularized pseudoinverse method[J].Applied Optics.1984,23(6):857-861.
[43]Kang M G,Katsaggelos A K.Frequency-domain adaptive iterative image restoration and evaluation of the regularization parameter[J].Optical Engineering.1994,33(10):3222-3232.
[44]Denny T S,Reeves S J.Bayesian image reconstruction from Fourier-domain samples using prior edge information[J].Journal of Electronic Imaging.2005,14(4).
[45]Sebastiani G,Godtilebsen F.On the use of Gibbs priors for Bayesian image restoration [J].Signal processing.1997,56(1):111-118.
[46]Galatsanos N P,Mesarvic V Z,Molina Rand,et al.Hierarchical Bayesian image restoration from partially known blurs[J].IEEE Transactions on Image Processing.2000(9):1784-1797.
[47]Molina R,Nunez J,Cortijo F J,Mateos J.Image restoration in astronomy:A bayesian perspective[J].IEEE Signal Processing Magazine.2001,18(2):11-29.
[48]Zhang L,Kondo H.Image restoration using spatially variant innovative inverse filter with edge sharpening[J].Journal of the Institute of Image Information and Television Engineers.2002,56(5):815-825.
[49]Ndjountche T,Unbehauen R.Image restoration:The wavelet-based approach[J].International Journal of Pattern Recognition and Artificial Intelligence.2003,17(1):151-162.
[50]Lu J Y,Yoshida Y.Region-adaptive image restoration using wavelet denoising technique[J].IEICE Transactions on Information and Systems.2002(1):286-290.
[51]Premaratne P,Burnett I.Role of wavelet transforms in image restoration[A].IEEE Region 10 Annual International Conference,Proceedings/TENCON.2004:243-246.
[52]Wan Y.Nowak R D.A wavelet-based statistical model for image restoration[A].IEEE International Conference on Image Processing.2001,1:598-601.
[53]Banham M R,Katsaggelos A K.Multiscale adaptive image restoration in the wavelet domain[A].IEEE International Conference on Image Processing.1994,3:187-191.
[54]Liu J,Moulin E Image restoration using statistical wavelet models[A].Proceedings of SPIE-The International Society for Optical Engineering.2001,4478:20-33.
[55]Jalobeanu A,Kingsbury N,Zerubia J.Image deconvolution using hidden Markov tree modeling of complexwavelet packets[A].Image Processing,Proceedings.2001,1:201-204.
[56]Wu J,Huang H,Tian J,Liu J.Remote sensing image data fusion based on local deviation of wavelet packet transform[A].Autonomous Decentralized Systems Proceedings.2005:372-377.
[57]Hai D,Hao L.Clutter reduction for synthetic aperture radar images adaptive wavelet packet transform[J].Antennas and Propagation Society International Symposium,IEEE.1999,3:1780-1783.
[58]Bin W,Liming Z.Automated removal of ghost noise from SAR images using wavelet package transform[J].Geoscience and Remote Sensing,IEEE Transactions.2003,41(10):2409-2414.
[59]Wen C,Bicheng L,Yong Z.A remote sensing image fusion based on PCA transform and wavelet packect transform[J].Neural Network and Signal Processing.2003,2:976-981.
[60]迟学芬,韩昌元,金辉。CCD推扫遥感成像中的欠采样噪声处理[J].电子学报.2003,31(9):1323-1326.
[61]杨宗侃.一维及二维光子晶体能带结构之研究[D].台湾逢甲大学.1993.
[62]Bovik A.图像与视频处理手册.电子工业出版社.2006.
[63]Rouge B.Space-scale-frequency representation and fixed chosen noise restoration[A].Time-Frequency and Time-Scale Analysis.Proceedings of the IEEE-SP International Symposium.1994:302-305.
[64]Malgouyres F,Guichard F.Edge Direction Preserving Image Zooming:A Mathematical and Numerical Analysis[J].SIAM Journal on Numerical Analysis.2001:1-33.
[65]Guichard F,Moisan L,Morel J.A review of p.d.e,models in image processing and image analysis[J].Journal de Physique Ⅳ.2002:1-18.
[66]Morel J M,Ladjal S.Analyse de fourier et theorie de shannon.Analyse de Fourier et traitement d' images[M].Centre de Mathematiques-Ecole Polytechnique.France,1998
[67]Bony J M.Cours d' analyse.Yheorie des distributions et analyse de Fourier[M].Les Editions delEcole Polytechnique,2001.
[68]Gasquet C,Witomski P.Analyse de Fourier et Applications[M].Masson,1995.
[69]Almansa A,Durand S,Rougé B.Measuring and improving image resolution by adaptation of the reciprocal cell[J].Journal of Mathematical Imaging and Vision.2004,21(3):235-279.
[70]Blanchet M G..Study of the blur,ringing and aliasing artifacts in numerical imaging.Application to restoration[D].CACHAN,France.2006.
[71]刘政凯,翟见熊.数字图像恢复与重建[M].合肥:中国科学技术大学出版社.1989.
[72]洪汉玉,张天序.基于多分辨率盲目去卷积的气动光学效应退化图像复原算法[J].计算机学报.2004,27(7):952-963.
[73]刘正军,王长耀,骆成凤.CBERS-1 PSF估计与图像复原[J].遥感学报,2004,8(3):234-238.
[74]Guan L,Ward R K.Restoration of randomly blurred images by the Wiener filter[J].IEEE Transactions on Acoustics,Speech& Signal Processing.1989,37(7):589-592.
[75]Zervakis M.E,Venetsanopoulos A N.Iterative least squares estimators in nonlinear image restoration[J].IEEE Transactions on Signal Processing,1992,40(4):927-945.
[76]Gopal A,Samant A A.Bar-Pattern technique for Modulation Transfer Function measurement in portal imaging[A].Proceedings of SPIE.2003,5030:433-444.
[77]Nichols C,Bryant P,and Alexay C.Advances in Infrared Lens characterization:measurement of MTF using common undersampled IR systems[A].Infrared Imaging Systems:Design,Analysis,Modeling,and Testing ⅩⅧ,Proc.of SPIE.2007.
[78]Léger D,Viallefont F,Hillairet E,Meygret A.In-flight refocusing and MTF assessment of SPOT5 HRG and HRS cameras[A].Sensors,Systems,and Next-Generation Satellites Ⅵ,Proceedings of SPIE.2003,4881:224-231.
[79]Li G,Wang X,Zhou H,Hao Z.On orbit MTF measurement of remote sensing camera based on wavelet transform[A].ICO20:Remote Sensing and Infrared Devices and Systems.Proc.of SPIE.2006,6031.
[80]Kim K H,Kang D W,Kim d K,Kim Y K.Unified MTF for scintillator-coupled CMOS sensor[J].Nuclear Instruments and Methods in Physics Research.2007,579:235-238.
[81]Breluzeau C,Parrain Fand,et al.In-plane vibration measurement of microdevices by the knife-edge technique in reflection mode[A].Proceedings of SPIE-The International Society for Optical Engineering.2006,6345.
[82]Jun Z,Rong-zhu Z,Bang-wei C,Panlong L.Research on technology of digital knife-edge test[A].Proceedings of SPIE-The International Society for Optical Engineering.2006,6150.
[83]Hao Q,Sha D G,Zheng N M.Calculation and analysis of knife-edge and slit scanning in OTF measuring equipment[J].Optical Technique.2001,27(1):41-43.
[84]王鸿南 卫星在轨MTF测评研究及应用[D]。南京理工大学.2004.
[85]Shon C H,Chong W Y,Jeon S Gand,et al.High speed terahertz pulse imaging in the reflection geometry and image quality enhancement by digital image processing[J].International Journal of Infrared and Millimeter Waves.2008,29(1):79-88.
[86]Zhang J Y,Dong J Y,Shi M H.An adaptive method for image filtering with pulse-coupled neural networks[A].Proceedings-International Conference on Image Processing,ICIE 2005,2:133-136.
[87]Huang W,Jing Z L.Multi-focus image fusion using pulse coupled neural network[J].Pattern Recognition Letter.2007,28(9):1123-1132.
[88]Jensen J R.遥感数字影像处理导论[M].北京:机械工业出版社,2007.
[89]李晓晓.失真图像的复原理论及实验研究[D].河北工业大学.2004.
[90]Wenruo B,Baofeng Z,Qianqian B.Adaptive wiener filter based on wavelet transform[A].Proceedings of SPIE-The International Society for Optical Engineering.2007.
[91]Kazubek M.Improving local Wiener filtering using matched filter[A].IEE Proceedings:vision,Image and Signal Processing.2006:501-506.
[92]Xinzheng Z,Peikang H,Ping Z.Fearture enhancement of SAR imagery using filtering in multi-wavelet domain[A].Proceedings of SPIE-The international Society for Optical Engineering.2007.
[93]Hardie R.A fast image super-resolution algorithm using an adaptive Wierner filter[J].IEEE Transactions on Image Processing.2007,16(12):2953-2964.
[94]Ercelebi E,Koc S.Lifting-based wavelet domain adaptive Wiener filter for image enhancement[A].IEE Proceedings:Vision,Image and Signal Processing.2006,153(1):31-36.
[95]Tates M,Nasrabadi N,Kwon H,White C.Wiener filter-based change detection for SAR imagery[A].Proceedings of SPIE-The international Society for Optical Engineering.2006,6237.
[96]Arslan L.Modified Wiener filtering[J].Signal Processing.2006,86(2):267-272.
[97]Das M.An improved adaptive wiener filter for de-noising and signal detection[A].Proceeding of the Seventh IASTED International Conference on Signal and Image Processing.2005:226-230.
[98]吴显金.自适应正则化图像复原方法研究[D].国防科学技术大学.2006
[99]Gonzalez R C,Woods R E。数字图像处理[M].北京:电子工业出版社,2006.
[100]Bertero M,Boccacci P.A simple method for the reduction of boundary effects in the Richardson-Lucy approach to image deconvolution[J].Astronomy and Astrophysics.2005,444(3):983-993.
[101]Vio R,Bardsley J,Wamsteker W.Least-squares methods with Poissonian noise:Analysis and comparison with the Richardson-Lucy algorithm[J].Astronomy and Astrophysics.2005,436(2):741-755.
[102]Zongqing Z,Yongkun Dand,et al.Richardson-Lucy method for decoding x-ray ring code image[J].Plasma Physics and Controlled Fusion.2007,49(8):1145-1150.
[103]Costello T,Mikhael W.One-dimensional comparison of Wiener filtering and Richardson-Lucy methods for sectioned restoration of space-variant digital images[J].IEEE Transactions on Circuits and Systems Ⅰ:Fundamental Theory and Applications.2002,49(4):518-522.
[104]唐新建.图像复原正则化方法研究[D].华中科技大学.2006.
[105]Bouzerdoum A.Combined quadratic optimization/median filtering technique for image restoration[A].Proceedings of the IEEE International Conference on Systems.1998,5:4447-4452.
[106]Wang J H,Lin L Do Improved median filter using minmax algorithm for image processing[J].Electronics Letters.1997,33(16):1362-1364.
[107]Lee T S.Image representation using 2D Gabor wavelets[J].IEEE Transactions on Pattern Analysis and Machine Intelligence.1996,18(10):959-971.
[108]Elbakary M,Sundareshan M K.Accurate representation of local frequency using a computationally efficient Gabor filter fusion approach with application to image registration[J].Pattern Recognition Letters.2005,26(14):2164-2173.
[109]Panda R,Chatterji B N.Gabor function:an efficient tool for digital image processing[J].IETE Technical Review.1996,13(4-5):225-231.
[110]Gabor filte(http://www.bmva.ac.uk/bmvc/1997/papers/033/node2.html).1997.
[111]Fox M J.Undersampled focal plane detection of imagery from a sparse telescope array[D].The University of Arizona.1993.
[112]周峰.提高航天传输型CCD相机地面像元分辨率方法研究[J].航天返回与遥 感.2002,23(3):35-42.
[113]周峰.关于亚像元成像技术几个问题的探讨[J].航天返回与遥感.2002,23(4):26-33.
[114]Unser M.Sampling—50 Years after Shannon[A].Proc.IEEE.2000,88:569-587.
[115]Boggess A,Narcowich F J。小波与傅里叶级数分析基础[M].北京:电子工业出版社,2005.
[116]王莉.正点阵与倒易点阵中的对应关系[J].唐山师范学院学报.2004,26(5):15-16.
[117]张海涛,赵达尊.光电成像系统混淆效应的定量分析[J].光学学报.1999,19(12):1649-1654.
[118]马文坡.采样成像系统中的混叠问题研究[J].航天返回与遥感.2002,22(3):22-25.
[119]Driggers R G,et al.Sampled imaging sensor design using the MTF squeeze model to characterize spurious response[A].Proceedings of SPIE.1999,3701:61-73.
[120]应怀樵,沈松,刘进明.频率混叠在时域和频域现象中的研究[J].振动、测试与诊断.2006,26(1):1-4.
[121]汪安民,王殊,陈明欣。一种抗混叠的非均匀周期采样及其频谱分析方法[J].信号处理.2005,21(3):240-243。
[122]Seidner D,Feder M.Noise amplification of period nonuniform sampling[J].IEEE Transactions on Signal Processing,2000,48(1):275-277.
[123]张科科,乌崇德,傅丹鹰.采样式成像系统中混叠影响的初步研究[J].航天返回与遥感.2004,25(4):50-53。
[124]郝云彩,杨秉新,张国瑞等。提高线阵CCD相机MTF的细分采样理论与方法[J],航天返回与遥感.1999,20(2):27-31.
[125]迟学芬.基于信息理论的采样成像系统评价与系统技术研究[D].中国科学院长春光学精密机械与物理研究所。2003。
[126]Latry C,RougéB.In flight commissioning of SPOT5 THR quincunx sampling mode[A].Proceedings of SPIE,2003,4881:189-199.
[127]RougéB.Théorie de la chaine image et restauration d'image optique à bruit final fixé[J].Mémoire d'habilitation à diriger des recherches,France,1997.
[128]Rudin L,Osher S,and Fatemi E.Nonlinear total variation based noise removal algorithms[J].Physica D,1992,60:259-268.
[129]Malgouyres F,Guichard F.Edge direction preserving image zooming:a mathematical and numerical analysis[J].Journal on Numerical Analysis.2001, 39(1):1-37.
[130]Malgouyres F,Minimizing the total variation under a general convex constraint for image restoration[J].IEEE transactions on image processing.2002,11:1450-1456.
[131]Guichard F,Malgouyres F.Total variation based interpolation[A].The Proceedings of the European Signal Processing Conference.1998,3:1741-1744.
[132]Durand S,Malgouyres F,Rougé B.Image de-blurting,spectrum interpolation and application to satellite imaging[J].Control Optimisation and Calculus of Variation.2000,5:445-477.
[133]王元明,徐君祥.索伯列夫空间讲义[M].江苏南京:东南大学出版社.2003.
[134]Mallat S.A wavelet tour of signal processing[M].Academic Press.1997.
[135]Molina R,Mateos J.Multichannel image restoration in Astronomy[J].Vistas Astron.1997,41(3):373-379.
[136]Banhan M B,Gonzalez H.Multichannel restoration of single channel images using a wavelet deconvolution[A].IEEE Proc.ICASSP.1993:281-284.
[137]Banham M R,Galatsanos N P.Multichannel restoration of single channel images using a wavelet based subband decomposition[J],IEEE Trans.on images processing.1994,3(6):821-833.
[138]Antonini M,Barlaud M.,Mathieu P,and Daubechies I.Image coding using wavelet transforms[J].IEEE Trans.Image Processing,1992,1:205-220.
[139]Chambolle A,DeVore R A,Lee N Y,and Lucier B J.Nonlinear wavelet image processing:Variational problems,compression,and noise removal through wavelet shrinkage[J].IEEE Trans.Image Processingo 1998,7:19-355.
[140]潘泉,张磊,孟晋丽.小波滤波方法及应用[M]。北京:清华大学出版社,2005.
[141]Donoho D.Nonlinear solution of linear invese problems by wavelet-vaguelette decompositions.J.of Appl.And Comput.Harmonic Analysis.1995,2(2):101-126.
[142]Kalifa J,Mallat S.Thresholding estimators for linear inverse problems.Ann.Statist.2003,31.
[143]Daubechies I,Ten lectures on wavelets.Philadelphia[M],PA:SIAM,1992.
[144]Donoho D L.Unconditional bases are optimal bases for data compression and for statistical estimation[M].Appl.Comput.Harmon.Anal.1993,1:100-115.
[145]Mix D F,Olejniczak K J.小波基础及应用教程[M].北京:机械工业出版社,2005.
[146]董湘君.基于小波域的数字图像复原研究[D].华南师范大学,2005.
[147]Donoho D L.De-noising by soft-thresholding[J].IEEE Trans.Inform.Theory. 1995,41(3):613-627.
[148]Donoho D L,Johnstone I M.Adapting to unknown smoothness via wavelet shrinkage[J].Journal of the American Statistical Association.1995,90:1200-1224.
[149]Donoho D L,Johnstone I M.Idial denoising in an orthanormal basis chosen from a library of bases[A].C.R.Acad.Sci.Paris,1994:1317-1322.
[150]Donoho D L,Johnstone I M.Ideal spatial adaptation via wavelet shrinkage[J].Biometrika,1994,81:425-455.
[151]Neelamani R,Choi H and Baraniuk R G.Wavelet-based deconvolution using optimally regularized inversion for ill-conditioned systems[A].Wavelet Applications in Signal and Image Processing Ⅶ,Proc.SPIE.1999,3813:58-72.
[152]Donoho D L.Nonlinear solution of linear inverse problems by Wavelet-Vaguelette Decomposition[J].Appl.Comput.Harmon.Anal.1995,2:101-126.
[153]Nowak R D,Thul M J.Wavelet-Vaguelette restoration in photon-limited imaging [A].Proc.IEEE ICASSP.Seattle,WA.1998:2869-2872.
[154]Daubechies I.Orthonormal basis of compactly supported wavelets[J].Comp.Pure Appl.Math.1988,46:909-996.
[155]Neelamani R,Choi H,Baraniuk R.ForWaRD:Fourier-Wavelet regularized deconvolution for Ill-Conditioned Systems[J].IEEE TRANSACTIONS ON SIGNAL PROCESSING.2004,2(52):418-433.
[156]Neelamani R,Choi H,Baraniuk R G.Wavelet-based deconvolution using optimally regularized inversion for ill-conditioned systems[A].Wavelet Applications in Signal and Image Processing Ⅶ,Proc.SPIE.1999,3813:58-72.
[157]DeVore R A,Jawerth B,Lucier B J.Image compression through wavelet transform coding[J].IEEE Trans.Inform.Theory.1992,38:719-746.
[158]DeVore R A,Lucier B J.Classifying the smoothness of images:Theory and applications to wavelet image processing[A],ICIP{94:Proceedings of the 1994 IEEE International Conference on Image Processing,Austin,IEEE Press,Los Alamitos,CA,1994.
[159]Berkner K,Gormish M J,Schwartz E L.Multiscale sharpening and smoothing in Besov spaces with applications to image enhancement[J].Appl.Comput.Harmon.Anal.2001,11:2-31.
[160]肖庭延,于慎根,王彦飞.反问题的数值解法[M].北京:科学出版社,2003.
[161]Wang G,Pan G W.Solution of inverse problems in image processing by wavelet expansion[J],IEEE Trans.on image proc.1995,4(5):579-593.
[162]Nguyen N.Numerical techniques for image super-resolution[D].Standford University,Standford,California,United States of America,2000.
[163]Zhong-ding J,Hai L,Hu-jun B and et al.A super-resolution method with EWA[J].Comput.Sci.& Technol.2003,18(6):822-832.
[164]Ur H,Gross D.Improved resolution from subpixel shifted pictures[J].Graphical Models and Image Processing,1992,54(2):181-186.
[165]Nguyen N and Milanfar P.A Wavelet-Based interpolation-restoration method for superresolution[A],Invited Paper,Circuits,Systems,and Signal Processing,Special issue on advanced signal and image reconstruction,2000,19(4):321-338.
[166]李盛阳.图像盲复原与改善空间分辨率研究[D].中国科学院.2006。
[167]Chen Z K,Mohammad A K,Majeed M H.Elimination of higher aliasings by multiple interlaced sampling[J].Opt.Eng.1999,38(5):879-885.
[168]姚新程,李兆霖,郭红莲,等.一种实现CCD亚像元位移分辨率的新方法[J].仪器仪表学报,2002,23(1):60-63.
[169]周峰,王世涛,王怀义,关于亚像元成像技术几个问题的探讨[J],航天返回与遥感,2002,Vol.23,No.4,26-32.
[170]谭兵,刑帅,徐青,等.SPOT5超模式数据处理技术研究[J].遥感技术与应用,2004,19(4):249-252.
[171]刘新平,王虎,汶德胜。亚像元线阵CCD焦平面的光学拼接[J].光子学报,2002,31(6):781-784.
[172]刘新平,高瞻,邓年茂等.面阵CCD作探测器的“亚像元”成像方法及实验[J],科学通报.1999,44(15):1603-1605。
[173]钱霖.两帧图像的“亚象元”技术提高探测图像的空间分辨率[J].激光杂志。2004,25(6):54-57.
[174]Latry C,Rouge B.SPOT5 THR MODE[A].Proceeding of SPIE.San Diego,California.1998,3439.
[175]Castleman K R.Digital image processing[M].北京:清华大学出版社,1998:117-119.
[176]苏金明,王永利.MATLAB7.0实用指南[M].北京:电子工业出版社,2004:41-43.
[177]王广君,房建成.一种星图识别的星体图像高精度内插方法[J].北京航空航天大学学报,2005,31(5):566-569.
[178]张新明,沈兰荪.在小波变换域内实现图像的超分辨率复原[J].计算机学报,2003,26(9):1183-1189.
[179]Nguyen N,Milanfa P and Golub G H.A computationally efficient super-resolution image reconstruction algorithm[J].IEEE Transactions on Image Processing,2001,10(4):573-583.
[180]Ford C,Etter D.Wavelet basis reconstruction of nonuniformly sampled data[J].IEEE Trans on Circuits and Systems Ⅱ,1998,45(8):1165-1168.
[181]卢珏.基于小波的图像插值研究[J].武汉理工大学学报,2003,25(1):81-83.
[182]Kingsbury N G.Complex Wavelets for Shift Invariant Analysis and Filtering of Signals[J].Applied Computational and Harmonic Analysis,2000,10(3):234-253.
[183]Kingsbury N G,Image processing with complex wavelets[R],Phil.Trans.Royal.Society.London A,1999.
[184]Sendur L,Selesnick I W.Subband adaptive image denoising via bivariate shrinkage[A],IEEE ICIP,2002,Ⅲ:577-580.
[185]Chang S G,Yu B,Vetterli M.Spatially adaptive wavelet thresholding with context modeling for image denoising[J],IEEE Trans.Image Processing 2000,19:1522-1531.
[186]张智,夏德深,孙权森.一种亚像元遥感图像的小波插值及滤波方法[J].南京理工大学学报.2008,32(2):195-226.
[187]张智,韦志辉,夏德深。一种亚像元遥感图像的小波复原方法[J].计算机科学。2008,35(2):223-225.
[188]Zhang Zhi,De-shen X.A Filting Method of Multi-degree Shift Invariant Wavelet based on Satellite Image[A],The Fifth International Conference on Wavelet Analysis and Pattern Recognition(ICWAPR),Proc.IEEE.2007,4:1904-1909.
[189]张智,夏德深.倒易晶胞和小波相结合的图像复原方法[J].计算机辅助设计与图形学报.2008,20(4):512-519。