基于多尺度变换的多源图像融合技术研究
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摘要
多源图像融合是指综合两个或者多个源图像信息,获得对同一场景更为准确、更为全面和更为可靠描述的图像。目前,由于多尺度变换具有良好的时频域局部特性,因此它被广泛的应用于图像融合领域,当源图像采用多尺度变换进行分解后,所得到的分解系数会处于不同的尺度上,因此可以更有针对性的选择融合准则,实现系数最优化的融合,从而最终改善融合图像的质量。
     在基于多尺度变换的图像融合算法中,比较成熟和应用较为广泛的当属基于拉普拉斯金字塔的图像融合算法和基于小波变换的图像融合算法。但这两种方法都有其局限性,在基于拉普拉金字塔的图像融合算法中,源图像经拉普拉斯金字塔分解后不仅会产生大量的冗余信息,致使融合过程中数据量增大,而且分解后产生的信息不具备方向性,在基于小波变换的图像融合算法中,虽然小波分解后不会造成数据量增大,且有一定的方向性,从而在一定程度上弥补了拉普拉斯金字塔分解的不足,但小波分解只能对低频信号进行,不能对高频信号进行,同时分解后如何选择一个具有优良特性的融合准则也是一个问题,最重要的是,由于小波基不具备各向异性,因此往往不能实现对图像最为稀疏的表达,这些都会对最终的融合图像质量产生不利影响。因此,针对这些问题,本论文开展了以下几方面工作:
     (1)针对小波变换只能对低频信号进行分解,不能对高频信号进行分解这一局限性,选用既能对低频信号进行分解,又能对高频信号进行分解的小波包变换来对源图像进行分解和重构,并对融合准则进行了改进以实现红外图像与可见光图像融合。
     (2)针对融合准则的问题,特别介绍了脉冲耦合神经网络(Pulse Coupled Neural Network, PCNN),并将PCNN进行了有效的改进使之作为融合准则使用;同时为了解决小波变换过程中存在大量的卷积运算,会造成运算复杂,计算量增大,储存空间需求增多等问题,改用提升格式小波变换来对图像进行多尺度变换;最后将提升格式小波变换与改进后的PCNN结合起来应用于医学图像融合。
     (3)针对小波基不具备各向异性,不能够对图像实现稀疏的表达这一局限性,选用了具有多尺度、多方向性的非下采样Contourlet变换来对源图像进行分解和重构,并将其与形态学处理结合起来应用于多聚焦图像融合。
     本论文所采用的一系列图像融合算法都是以多尺度变换为基础的,实验结果表明,它们都能取得比较好的融合效果。
Multi-source image fusion means that integrating information of two or more source images to get a new image which can represent the scene exactly, entirely and reliably. Recently, due to such good properties as localization, multi-scale transform has been widely used in image fusion. After the source images are decomposed by using multi-scale transform, the coefficients to be got will belong to different scales then, the corresponding fusion rules will be chosen to fuse the coefficients perfectly to improve the quality of the fused image.
     In the filed of image fusion algorithm based on multi-scale, the image fusion algorithm based on either Laplacian pyramid or wavelet is mature and used widely. But both of them have some limitations, when the Laplacian pyramid is used to fuse images, some redundant information will be got to make the data size increase in the fusion processing, and the Laplacian pyramid can not represent the directional information of the image accurately. Compared with the Laplacian pyramid, although the wavelet transform can not result in increasing the data size and have some directional information, it can only decompose low frequency signal, not high frequency signal. At the same time, when source images are decomposed by the wavelet, how to get the perfect fusion rule is a problem then, the most important is the wavelet base has no property such as anisotropy so that the wavelet can not represent image sparely. All about above will influence the quality of the fused image. Focusing on these problems, the main contributions of this dissertation are summarized as follows:
     (1) Aiming at the wavelet can only decompose the low frequency signal, not the high frequency signal, the wavelet packet transform which not only can decompose the low frequency signal but also can decompose high frequency signal is used to decompose and construct the source images then, the infrared and visible images are fused by combining the wavelet packet transform and the improved fusion rules.
     (2) Aiming at the fusion rule, the pulse coupled neural network (PCNN) is introduced especially and improved effectively then, the improved PCNN is used as fusion rule. At the same time, the wavelet transform based on lifting scheme is proposed to simplify the computations and save the memory spaces then, the medical images are fused by combining the wavelet transform based on lifting scheme and the improved PCNN.
     (3) Aiming the wavelet base has no property such as anisotropy so that the wavelet can not represent image sparely, the nonsubsampled contourlet transform which has property such as multi-scale and multi-direction is chosen to decompose and construct the source images and then, the multi-focus images are fused by combining the nonsubsampled contourlet transform and morphology.
     A series of image fusion algorithms used in this dissertation are based on multi-scale transform, when these image fusion algorithms are used to fuse the images, the experimental results show that the good fused images can be got.
引文
[1] Kokar M, Kim K. Review of multisensor data fusion architecture and techniques[C].Proceedings of the International Symposium on Intelligent Control. Chicago USA.1993,261-266.
    [2] Pohl C, Van Genderen J L. Multisensor image fusion in remote sensing: concepts, methods and applications[J].International Journal of Remote sensing,1998,19(5):823-854.
    [3] Park J H, Kim K K, Yang Y K. Image fusion using multiresolution analysis[C]. Geosciences and Remote Sensing Symposium,2001,2:709-711.
    [4] Varshney P K. Multi-sensor data fusion[J].Electronics and Communication Enginering Journal,1997,9(12):245-253.
    [5] Zhang Z, Blum R S. A categorization of multiscale-decomposition-based image fusion scheme with a performance study for a digital camera application[J]. Proceedings of the IEEE,1999,87(8):1315-1326.
    [6] Lipchen A C, Sandor Z D, Nasser M N. Dualband FLIR fusion for automatic target recognition[J].Information Fusion,2003,4(1):35-45.
    [7] Hazim K E, Bulent S. Multiresolution face recognition[J].Image and Vision Computing,2005,23(5):469-477.
    [8] Kwak K C, Pedrycz W. Face recognition: a study in information fusion using fuzzy integral[J].Pattern Recognition Letters,2005,26(6):719-733.
    [9] Mark E, Olszewski, Andreas W, et al. Segmentation of intravascular ultrasound images: a machine learning approach mimicking human vision[C]. International Congress Series,2004,1268:1045-1049.
    [10] Wald L. Some terms of reference in data fusion[J].IEEE Transactions on Geoscience and Remote Sensing,1999,37(3):1190-1193.
    [11] Wang Z, Ziou D,Armenakis C, et al. A comparative analysis of image fusion methods[J].IEEE Transactions on Geoscience and Remote Sensing,2005,43(6): 1391-1402.
    [12] Constantinos S P, Pattichis M S, Micheli-Tzanakou E. Medical imaging fusion applications: an overview[C].Conference Record of the 35th Asilomar Conference on Signals Systems and Computers,2001,2:1263-1267.
    [13] Chen Y T, Wang M S. Three-dimensional reconstruction and fusion formulti-modality spinal images[J].Computerized Medical Imaging and Graphics,2004,28(1):21-31.
    [14] Nasel C. Visualization of intracranial vessel anatomy using high resolution MRI and a simple image fusion technique[J].European Journal of Radiology,2005,54(1):107-111.
    [15] Bastiere A. Methods for multisensor classification of airborne targets integrating evidence theory[J].Aerospace Science and Technology,1998,2(6): 401-411.
    [16] Sworder D D, Boyd J E, Clapp G A. Image fusion for tracking manoeuvring targets[J].International Journal of Systems Science,1997,28(1):1-14.
    [17] Daily M I, Farr T, Elachi C. Geologic interpretation from composited radar and Landsat imagery[J]. Photogrammetric Engineering and Remote Sensing, 1979,45(8):1109-1106.
    [18] Burt P J, Adelson E H. The Laplacian pyramid as a compact image code[J]. IEEE Transactions on Communications,1983,31(4):532-540.
    [19] Burt P J. The pyramid as a structure for efficient computation[C].In: Multiresolution Image Processing and Analysis, London: Springer-Verlag, 1984,6-35.
    [20] Ranchin T, Wald L. The wavelet transform for the analysis of remotely sensed images[J].International Journal of Remote Sensing,1993,14(3):615-619.
    [21] Claus-Eberhard L, Stefan G. Knowledge-Based Concepts for the Fusion of Multisensor and Multitemporal Aerial Images[J].Multi-Image Analysis,2001: 192-200.
    [22] Petrovic V S, Xydeas C S. Gradient-Based multiresolution image fusion[J]. IEEE Transactions on Image Processing,2004,13(2):228-237.
    [23] William F H, Berthold K P H, et al. Application of the discrete haar wavelet transform to image fusion for nighttime driving[C].2005 IEEE Intelligent Vehicles Symposium.2005:273-277.
    [24] Frenchette S, Ingle V K. Gradient based multifocus video image fusion[C]. IEEE Conference on Advanced Video and Signal Based Surveillance, AVSS 2005,2005:486-492.
    [25] Smith M I, Heather J P, A review of image fusion technology in 2005[C].Proc. of SPIE,2005,5782:29-45.
    [26] http://www.deagel.com/news/Nimrod-MRA-4-New-Sensor-Undergoing-Flight-Tests_n000000790.aspx
    [27] http://nightvision.com/news/news_detail.asp?news_ID=24
    [28] http://www.baesystems.com/Newsroom/NewsReleases/2007/autoGen_10772913162.html
    [29] Matsopoulos G K, Marshall S. Application of morphological pyramids: Fusion of MR and CT phantoms. Journal of Visual Communication and Image Representation,1995,6(2):196-207.
    [30] Reed J M, Hutchinson S. Image fusion and subpixel parameter estimation for automated optical inspection of electronic components[J].IEEE Transactions on Industrial Electronics,1996,43(3):346-354.
    [31] Lou K N, Lin L G. An intelligent sensor fusion system for tool monitoring on a machining centre[J].International Journal of Advanced Manufacturing Technology,1997,13:556-565.
    [32] Chavez P S, Sides S C, Anderson J A. Comparison of three difference methods to merge multiresolution and multispectral data: Landsat TM and SPOT panchromatic[J].Photogrammetric Engineering and Remote Sensing,1991,57(3): 295-303.
    [33] Daniel M M, Willsky A S. A multiresolution methodology for signal-level fusion and data assimilation with applications to remote sensing[C]. Proceedings of the IEEE,1997,85(1):164-180.
    [34] Jiang X Y, Gao Z Y, Zhou L W. Multispectral image fusion using wavelet transform[J].Acta Electronica Sinica,1997,8(25):105-108.
    [35] Yang X, Yang W H, Pei J H. Different focus points images fusion based on wavelet decomposition[J].Acta Electronica Sinica,2001,29(6):846-848.
    [36] Quan H Y, Yang Y, Song N H, et al. An image fusion approach based on second generation wavelet transform[J].System Engineering and Electronics,2001, 23(5):74-79.
    [37] Wang H H. A new multiwavelet-based approach to image fusion[J].Journal of Mathematical Imaging and Vision,2004,21(2):177-192.
    [38] Shi W Z, Zhu C Q, Tian Y, et al. Wavelet-based image fusion and quality assessment[J].International Journal of Applied Earth Observation and Geoinformation,2005,6(3):241-251.
    [39] Li Z H, Jing Z L, Yang X H, et al. Color transfer based remote sensing image fusion using non-separable wavelet frame transform[J].Pattern Recognition Letters,2005,26(13):2006-2014.
    [40] Zhang Y, Hong G. An IHS and wavelet integrated approach to improve pan-sharpening visual quality of natural colour IKONOS and QuickBird images[J].Information Fusion,2005,6(3):225-234.
    [41] Li M, Cai W, Tan Z. A region-based multi-sensor image fusion scheme using pulse-coupled neural networks[J].Pattern Recognition Letters,27(2006): 1948-1956.
    [42] Huang W, Jing Z L. Evaluation of focus measures in multi-focus imagefusion[J].Pattern Recognition Letters,28(2007):493-500.
    [43] Wang Z B, Ma Y D. Medical image fusion using m-PCNN[J].Information fusion,9(2008):176-185.
    [44] Qu X B, Yan J W, Xiao H Z, et al. Image fusion algorithm based on spatial frequency-motivated pulse coupled neural networks in nonsubsampled contourlet transform domain[J].Acta Automatic Sinica,2008,34(12):1508- 1514.
    [45] Miao Q G, Wang B S. A novel image fusion method using WBCT and PCA[J].Chinese Optics Letters,2008,6(2):104-107.
    [46] Li X, Ni G Q, Chen X M. The realization of real-time image fusion system with multi-DSP[C].Proceedings of SPIE,2002,4925:369-375.
    [47] Song Y J, Gao K, Ni G Q, et al. Implementation of real-time Laplacian pyramid image fusion processing based on FPGA[C]. Proc of SPIE,2007,6833(683316): 1-8.
    [48] Wang Q, Ni G Q, Chen B. An image fusion of quincunx sampling lifting scheme and small time DSP-based system[C].Proc of SPIE,2007,6833(683317):1-10.
    [49]许廷发,秦庆旺,倪国强.基于MD642融合系统的àtrous小波实时图像融合算法[J] .光学精密工程,2008,16(10):2045-2050.
    [50]刘贵喜.多传感器图像融合方法研究[D]:[博士学位论文].西安:西安电子科技大学,2001.
    [51]郑林.基于多源信息融合的图像处理、识别与跟踪研究[D]:[博士学位论文].西安:西安交通大学,2003.
    [52]倪国强.多波段图像融合算法研究及其新发展(I)[J].光电子技术与信息,2001,14(5): 11-17.
    [53] Eltoukhy H A, Kavusi S. A computationally efficient algorithm for multi-focus image reconstruction[C].Proceedings of SPIE Electronic Imaging,2003,332-341.
    [54] Zhang Z, Blum R S. A categorization of multiscale-decomposition-based image fusion schemes with a performance study for a digital camera application[C]. Proceedings of the IEEE,1999,87(8):1315-1326.
    [55] Piella G. A general framework for multiresolution image fusion: from pixels to regions[J].Information Fusion,2003,4(4):259-280.
    [56] Toet A. Image fusion by a ration of low-pass pyramid[J]. Pattern Recognition Letters,1989,9(4):245-253.
    [57] Toet A, van Ruyven J J, Valeton J M. Merging thermal and visual images by a contrast pyramid[J]. Optical Engineering,1989,28(7):789-792.
    [58] Toet A. Multi-scale contrast enhancement with applications to image fusion[J].Optical Engineering,1992,31(5):1026-1031.
    [59]刘贵喜,杨万海.基于多尺度对比度塔的图像融合方法及性能评价[J].光学学报,2001,21(11):1336-1342.
    [60]张新曼,韩九强.基于视觉特性的多尺度对比度图像融合及其性能评价[J].西安交通大学学报.2004,38(4):380-383.
    [61] Burt P J. A gradient pyramid basis for selective image fusion[J]. Society for Information Display Digest of Technical Papers,1985,16:467-470.
    [62] Burt P J, Lolczynski R J. Enhanced image capture through fusion[C]. In: Proceedings of the 4th International Conference on Computer Vision, Berlin, Germany,1993,173-182.
    [63]杨万海,赵曙光,刘贵喜.基于梯度塔形分解的多传感器图像融合[J].光电子激光,2001,12(3):293-296.
    [64] Liu Z, Tsukada K, Hanasaki K, et al. Image fusion by using steerable pyramid[J].Pattern Recognition Letters,2001,22:929-939.
    [65] Liu G, Jing Z L, Sun S Y, et al. Image fusion based on expectation maximize algorithm and steerable pyramid, Chinese Optics Letters,2004,2(7):386-389.
    [66] Miao Q G, Wang B S. A novel algorithm of image fusion using finite Ridgelet transform[C].Proc of SPIE,2006,6242(62420Y):1-8.
    [67] Liu K, Guo L, Chang W W, et al. Algorithm of image fusion based on finite Ridgelet transform[C].Proc of SPIE,2007,6786(67860D):1-7.
    [68] Choi M J, Kim R Y, Nam M R, et al. Fusion of multispectral and panchromatic Satellite images using the curvelet transform[J].IEEE Transaction on Geoscience and Remote Sensing Letters,2005,2(1):136-140.
    [69]李晖晖,郭雷,刘航.基于第二代Curvelet变换的图像融合研究[J].光学学报,2006,26(5):657-662.
    [70] Nencini F, Garzelli A, Baronti S, et al. Remote sensing image fusion using the curvelet transform[J].Information Fusion,2007,8:143-156.
    [71] Deng C Z, Cao H Q, Cao C, et al. Multisensor image fusion using fast discrete curvelet transform[C].Proc of SPIE,2007,6790(679004):1-9.
    [72] Qu X B, Yan J W, Xie G F, et al. A novel image fusion based on bandelet transform[J].Chinese Optics Letters,2007,5(10):569-572.
    [73] Miao Q G, Wang B S. A novel image fusion method using Contourlet transform[C]. 2006 International Conference On Communications, Circuits and Systems Proceedings, Guilin 1,2006:548-552.
    [74] Miao Q G, Wang B S. The Contourlet for image fusion[C].Proc of SPIE, 2006,6264(62640Z):1-8.
    [75]李光鑫,王珂.基于Contourlet变换的彩色图像融合算法[J].电子学报,2007,35 (1):112-117.
    [76] Song Y J, Gao K, Ni G Q. A novel infrared image fusion algorithm based onContourlet transform[C].Proc of SPIE,2007,6835(68351P):1-8.
    [77] Jia Y H. Fusion of Landsat TM and SAR images based on principal component analysis[J].Remote Sensing Technology and Application,1998,13(1):46-49.
    [78] Tang J S. A contrast based image fusion technique in the DCT domain[J].Digital Signal Processing,2004,14:218-216.
    [79] Zhang Z L, Sun S H, Zheng F C. Image fusion based on median filters and SOFM neural networks: a three-step scheme[J].Signal Processing,2001,81(6): 1325- 1330.
    [80] Li S T, Kwork J T, Wang Y N. Multifocus image fusion using artificial networks[J].Pattern Recognition Letters,2002,23:985-997.
    [81] Li S T, Kwok J T, Wang Y N. Multi-focus image fusion using artificial neural networks[J].Pattern Recognition Letters,2002,23(8):985-997.
    [82] Carpenter G A, Martens S, Ogas O J. Self-organizing information fusion and hierarchical knowledge discovery: a new framework using ARTMAP neural networks[J].Neural Networks,2005,18(3):287-295.
    [83] Sharma R K, Leen T K, Pavel M. Bayesian sensor image fusion using local linear generative models[J].Optical Engineering,2001,40(7):1364-1367.
    [84] Xia Y S, Leung H, Bosse E. Neural data fusion algorithms based on a linearly constrained least square method[J].IEEE Transactions on Neural Networks,2002,13(2):320-329.
    [85] Blum R S. On multisensor image fusion performance limits from and estimation theory perspective[J].Information Fusion,2006,7(3):250-263.
    [86] Azencott R, Chalmond B, Coldefy F. Markov fusion of a pair of noise images to detect intensity valleys[J].International Journal of Computer Vision,1995,16(2):135-145.
    [87] Wright W A, Bristol F. Quick Markov random field image fusion[C].Proceedings of SPIE,1998,3374:302-308.
    [88] Tsai V J D. Frequency-based fusion of multiresolution images[C].In: Proceedings of 2003 IEEE International Geoscience and Remote Sensing Symposium, Taichung,2003,6:3665-3667.
    [89] Smith S, Scarff L A. Combining visual and IR images for sensor fusion: two approaches[C].Proceedings of SPIE,1992,1668:102-112.
    [90]韩崇昭,朱洪艳,段战胜.多源信息融合[M].北京:清华大学出版社,2006,364-423.
    [91]洪日昌.多源图像融合算法及应用研究[D]:[博士学位论文].合肥:中国科技大,2007.
    [92]汤磊.多分辨率图像融合方法与技术研究[D]:[博士学位论文].南京:中国人民解放军理工大学,2008.
    [93]刘贵忠,邸双亮.小波分析及其应用[M].西安:西安电子科技大学出版社,1997,1-36.
    [94] Boggess A, Narcowich F J.小波与傅里叶分析基础[M]:芮国胜,康健等译.北京:电子工业出版社,2005,144-240.
    [95]彭玉华.小波变换与工程应用[M].北京:科学出版社,2003,1-108.
    [96]孙延奎.小波分析及其应用[M].北京:机械工业出版社,2005,1-260.
    [97] Mallat S G, A Theory for Multiresolution Signal Decomposition: The Wavelet Representation[J].IEEE Transaction on Pattern Analysis and Machine Intelligence,1989,11(7):674-693.
    [98] Xu Y S, Weaver J B, Healy D M, et al. Wavelet Transform Filters: A Spatially Selective Noise Filtration Technique[J].IEEE Transactions on Image Processing,1994,3(6):747-758.
    [99] Pan Q, Zhang L, Dai G Z, et al. Two Denoising Methods by Wavelet Transform[J]. IEEE Transaction on Signal Processing, 1999,47(12):3401-3406
    [100] A,Lewis, G Knowles. Image Compressing Using the 2-D Wavelet Transform[J]. IEEE Transaction on Image Processing,1992,1(2):244-250.
    [101]许传祥.零对称和反对称二进小波及其在边缘检测中的应用[J].中国图象图形学报,1996,1(1):4-11.
    [102] Wang Z L, Wan H J , Zhang A D, et al. A New Remote-sensed Image Fusion Using Wavelet Packet Transform with the Best Basis[C].Proc of SPIE,2008,7147 (714713):1-8.
    [103] Sweldens W. The lifting scheme: A new Philosophy in Biorthogonal Wavelet Construction[C].Proc of SPIE,1995,2569:68-79.
    [104] Sweldens W. The lifting scheme: A custom-design construction of biorthogonal wavelets[J].Appl Comput Harmon Anal,1996,3(2):186-200.
    [105] Daubechies I, Sweldens W. Factoring Wavelet Transforms into Lifting Steps[J].Journal of Fourier Analysis and Application,1998,4(3):245-267.
    [106] Sweldens W. The Litfing Scheme: A Construction of Second Generation Wavelets[J].SIAM Journal of Mathematical Analysis,1998,29(2):511-546.
    [107] Li H G, Wang Q, Wu L N. A Novel Design of Lifting Scheme from General Wavelet[J].IEEE Transactions on Signal Processing,2001,49(8):1714-1717.
    [108] Echhorn R, Reitboeck H, Arndt M, et al. Feature linking via synchronization among distributed assemblies: simulations of results from cat visual cortex[J].Neural comp,1990,2(3),293-307.
    [109]闫敬文,屈小波.超小波分析及应用[M].北京:国防工业出版社,2008,185-224.
    [110] Kuntimad G, Ranganath H S. Perfect image segmentation using pulse coupled neural networks[J].IEEE Transactions on Neural Networks,1999,10(3): 591-598.
    [111]赵峙江,张田文,张志宏.一种新的基于PCNN的图像自动分割算法研究[J] .电子学报,2005,33(7):1342-1344.
    [112] Ranganath H S, Kuntimad G. Object detection using pulse coupled neural networks[J].IEEE Transactions on Neural Networks,1999,10(3):615-620.
    [113] Berthe K, Yang Y. Automatic edge and target extraction based on pulse-couple neuronnetworks theory[C].2001 International Conferences on Info-tech and Info-net,2001,3:504-509.
    [114] Broussard R P, Rogers S K, Oxley M E, et al. Physiologically motivated image fusion for object detection using a pulse couple neural network[J].IEEE Transactions on Neural Networks,1999,10(3):554-563.
    [115] Johnson J L, Padgett M L. PCNN models and applications[J].IEEE Transactions on Neural Networks,1999,10(3):480-498.
    [116] Johnson J L, Padgett M L, Omidvar O. Guest editorial overview of Pulse Coupled Neural Network(PCNN) special issue[J].IEEE Transactions on Neural Networks, 1999,10(3):461-463.
    [117]顾晓东,余道衡. PCNN的原理及其应用[J].电路与系统学报,2001,6(3):45-50.
    [118] Do M N, Vetterli M. Contourlet: a directional multiresolution image representation[C].Proc of IEEE International Conference on Image Processing, Rochester, NY,2002:357-360.
    [119] Do M N, Vetterli M. The contourlet transform: an efficient directional multiresolution image representation[J].IEEE Transactions on Image Processing,2005,14(12):2019-2016.
    [120] Do M N, Vetterli M. Framing pyramids[J].IEEE Trans Signal Proc,2003, 51(9):2329-2342.
    [121] Bamberger R H, Smith M J T. A filter bank for the directional decomposition of images: Theory and design[J].IEEE Trans Signal Processing,1992,40(4): 882-893.
    [122] Cunha A L, Zhou J P, Do M N. The nonsubsampled contourlet transform: theory, design, and application[J].IEEE Transactions on Image Processing,2006, 15(10):3089-3101.
    [123] Cunha A L, Zhou J P, Do M N. Nonsubsampled contourlet transform: Filter design and application in denoising[C].In: IEEE Int Conf on Image Proc, Genoa,Italy,2005,749-752.
    [124] Zhou J P, Cunha A L, Do M N. Nonsubsampled contourlet transform: Construction and application in enhancement[C].In: IEEE Int Conf on Image Proc, Genoa, Italy,2005,469-472.
    [125] Shensa M J. The discrete wavelet transform: Wedding theàtrous and mallat algorithm[J].IEEE Transactions on Signal Processing,1992,40(10): 2464-2482.
    [126]容观澳.计算机图象处理[M].北京:清华大学出版社2000,254-294.
    [127]那彦,焦李成.基于多分辨率分析理论的图像融合方法[M].西安:西安电子科技大学出版社,2007,173-182.
    [128] Gonzalez R C, Woods R E.数字图像处理[M]:第二版.阮秋琦,阮宇智等译.北京:电子工业出版社,2007,420-459.
    [129] Gonzalez R C, Woods R E, Eddins S L.数字图像处理(MATLAB版)[M]:阮秋琦等译.北京:电子工业出版社,2009,252-284.

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