基于频率域、小波变换和神经网络的真彩图像增强算法研究
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
从真实景象中获取的真彩图像中常常既包含了刺眼的高亮区,又包含了难以看到的低亮区。为便于人眼观察和后续的机器处理,需要压缩真彩图像的动态范围,真彩图像增强。真彩图像增强技术被广泛应用于众多领域,其技术方法研究具有重要的意义与应用价值。本文针对最主流的带色彩恢复的多尺度Retinex系列方法(MSRCR)存在主要缺陷,在分析真彩图像成像的物理学和光谱学原理基础上,结合人和人眼的生理学及心理学特点,定义了一种入射——反射模型,综合运用信号处理、小波分析和神经网络等多种技术手段,建立了以频率域和小波变换为核心的真彩图像增强的方法体系,本文所提方法充分考虑到人、图像、像素之间的关系,使用效果和适应性均较为显著。
     主要研究进展包括:
     1提出了真彩图像色饱和度的调整算法。由于HSV彩色坐标系可将色彩和亮度近似分离,本文按照人眼光谱感觉特性,基于HSV坐标系,提出了一种用高斯滤波器调整真彩图像色饱和度的算法,以适应人眼对色彩偏红图像的观察。
     2.针对同态滤波技术不足的改进:(1)确定了同态滤波器截止频率的范围。由于入射分量中包含的细节决定了增强后图像的信息损失,用分析入射分量和反射分量方差的方法,将同态滤波方法的截止频率确定在比较合理的范围内。(2)提出一种真彩图像的多尺度同态滤波增强算法。具有单一尺度截止频率同态滤波器存在细节保持和动态范围压缩之间矛盾,用具有不同尺度截止频率的多个同态滤波器增强图像并综合,来解决这一问题。
     3.提出了用平滑传导函数实现图像增强的算法。Retinex方法使用中心——环绕函数对图像做卷积运算,但其缺乏灵活性,用平滑传导函数代替中心——环绕函数改进Retinex方法,有效提高了Retinex方法的灵活性,效果优于多尺度Retinex方法。
     4.提出了基于小波变换实现真彩图像增强算法:(1)同态分解——小波增强算法。用同态分解分离图像的入射分量和反射分量,再结合小波变换,来达到增强图像时保留细节的目的。(2)小波——能量增强法。针对传统入射——反射模型使用上的限制,采用静态小波变换定义一个新的入射—反射模型,给出了图像增强是一个图像能量衰减和再放大过程的新思路,使用时对需要增强的真彩图像基本没有条件限制,其适应性和效果明显优于MSRCR。(3)设计实现了能同时对真彩图像增强和降噪的算法。分析了真彩图像噪声在HSV坐标系中的分布情况,在使用小波——能量法增强图像基础上,用贝叶斯软阈值滤除被分离在反射分量中的噪声,以达到增强图像时抑制噪声的目的。
     5.基于神经网络的真彩图像增强方面:(1)提出小波——PCNN(脉冲耦合神经网络)增强算法。根据韦伯定理,采用PCNN确定图像调整的指数放大系数,图像中具有不同亮度的部分用不同的放大系数,在同一幅图像中做到衰减高亮区和增强低亮区,其方法适应性和效果优于小波——能量法。(2)提出递归神经网络恢复真彩图像色彩的算法。用递归神经网络的记忆功能记忆图像色彩,建立了用于色彩校正的递归神经网络的权值矩阵和方法,校正在RGB坐标系中使用同态滤波增强图像时产生的色彩偏离。
Many real color images, which are photographed from real scenes, possessing high dynamic range include both dark shadows and bright light sources that are difficult to be perceived. The dynamic range of these images should be compressed (that is real color image enhancement) in order that these images are perceived by humans or rendered more suitable for machine analysis. Because real color image enhancement is widely applied in many domain, the research of real color image enhancement is the important worth of application. Because the color sustainment of images enhanced and the application of illumination-reflection model are confined by MSRCR and real color images do not uaually satisfy the demand of MSRCR, the default of "halos", images covered by mist and the actual scenic details and/or colors obscured are common in real color images enhanced. According to the physical and spectroscopic theory of real color images and the physiological theory of human and human eyes and the phychological theory of human vision, we create a new llumination-reflection model and put forward a series of algorithms based on digital signal processing, wavelet transform, neural networks and etc. The flexibility and validity of these algorithms are good.
     The paper includes five aspects.
     1. The algorithm that the saturation of real color image is adjusted is put forward. Because HSV color system can approximately separate the color and the value of real color images, according to the spectral sensitivity of most people vision, the saturation of real color image with dark red in HSV can be adjusted by a Gaussian filter to accommodate the observation of human eyes.
     2. To improve homomorphic filter:(1) The cut-off frequency range of homomorphic filter is confirmed. Because the illumination determine the information of image enhanced, we can analyse the variation of the illumination and the reflection in order that the cut-off frequency is decided in a reasonable scope. (2) A algorithm of real color image enhanced by multi-scale homomorphic filters in two channels is put forward. The method of multi-scale homomorphic filters is put forward in order to eliminate the contradiction between the images detail sustained and the images high dynamic range compressed.
     3. A smoothing conduction function method is put forward to enhance images. Retinex is improved by a smoothing conduction function in order that the flexibility of Retinex is increased. The method is better than Retinex.
     4. Real color image enhanced based on wavelet transform:(1) A homomorphic decomposition-wavelet transform algorithm is put forward. The illumination and the reflection are separated by homomorphic decomposition. The detail is sustained by wavelet transform. (2) A wavelet-energy enhancement is put forwand. A new illumination-reflection model is described by stationary wavelet transform in order to eliminate the limitation of old illumination-reflection model. A new idea is that image enhancement is a process that the imagery energy is reduced and then amplified. Because real color images enhanced by the method are not restricted, the method is much better than MSRCR in flexibility and effect. (3) Real color image is enhanced and denoised by stationary wavelet transform at one time. We analyse the noise of real color image in HSV system. The noise in the reflection is eliminated by bayes-soft-threshold when real color image is enhanced by wavelet-energy.
     5. Real color image enhanced based on neural networks:(1) A wavelet-PCNN (pulse coupled neural networks) is put forward. According to Weber theory, the exponents which adjust the imagery value are decided by PCNN. Different parts possessing different luminance in image are amplified by different exponent. The method is called Gamma adjustment in different levels. High bright parts are reduced and shade parts are amplified at the same time in one image. The method is better than the wavelet-energy enhancement. (2) RNNs (recurrent neural networks) revise the color of real color images enhanced. RNNs (recurrent neural networks) possess the recall ability. Based on the analysis of RNN's stability and convergence, weight matrix of recurrent neural networks is properly confirmed to revise the color real color images enhanced in the paper.
引文
[1]马文慧等,图像高动态范围压缩技术综述,中国传媒大学学报自然科学版,2007,14(4):66-72.
    [2]倪国强,肖曼君等,基于视觉特性的真实影像再现技术进展及展望,中国激光,2007,34(04):451-460.
    [3]Ward G J. The radiance lighting simulation and rendering system [C]. In Proceedings of SIGGRAPH 94, Computer Graphics Proceedings, Annual Conference Series,1994,459-472.
    [4]Tumblin J, Rushmeier H E. Tone reproduction for realistic images [J]. IEEE Computer Graphics & Applications,1993,13 (6):42-48.
    [5]Tumblin J, Hodgins J K, Guenter B K. Two methods for display of high contrast images [J]. ACM Transactions on Graphics,1999,18(1):56-94.
    [6]Ferwerda J A, Pattanaik S, Shirley P S, Greenber G P. A model of visual adaptation for realistic image synthesis [C]. In Proceedings of SIG-GRAPH 96, Computer Graphics Proceedings, Annual Conference Series,1996.249-258.
    [7]Larson G W, Rushmeier H, Piatko C. A visibility matching tone reproduction operator for high dynamic range scenes [J]. IEEE Transactions on Visualization and Computer Graphics,1997,3 (4):291-306.
    [8]ScheelA, etal. Tone reproduction for interactive walkthroughs [J]. Computer Graphics Forum,2000,19 (3):301-312.
    [9]Oppenheim A, etal. Nonlinear filtering of multiplied and convolved signals [J]. In Proceedings of the IEEE,1968,56:1264-1291.
    [10]Larson G W, Rushmeier H, Piatko C. A visibility matching tone reproduction operator for high dynamic range scenes [J]. IEEE Transactions on Visualization and Computer Graphics,1997,3 (4):291-306.
    [11]Ramamoorthi R, Hanrahan P. A signal-processing framework for inverse rendering [R]. In Proc. ACM SIGGRAPH 2001, E.Fiume, Ed.2001.117-128.
    [12]Stockham T. Image processing in the context of a visual model [J]. Proc. IEEE, 1972,60:828-842.
    [13]D. H. Brainard, B. A. Wandell. Analysis of the retinex theory of color vision [J]. J. Opt. Soc. Am. A,1986,3(10):1651-1661.
    [14]L. T. Maloney. Evaluation of linear models of surface spectral reflectance with small numbers of parameters [J]. J. Opt. Soc. Am. A,1986,3 (10):1673-1683.
    [15]HORN B K P. Determining lightness from an image [J]. Computer Graphics and Image Processing,1974,3(1):277-299.
    [16]E. H. Land, J. J. McCann. Lightness and retinex theory [J] J. Opt. Soc. Am. A,1971,61 (1):1-11.
    [17]E. H. Land. The retinex theory of color vision [J]. Sci. Am.1977,237 (6):108-128.
    [18]E. H. Land. Recent advances in retinex theory and some implications for cortical computations:color vision and the natural image [C]. Proc. Nat 1. Acad. Sci. USA,1983,80:5163-5169.
    [19]J. J. McCann, S. P. McKee, T. H. Taylor. Quantitative studies in retinex theory [J]. Vision Research,1976,16:445-458.
    [20]A. Hurlbert. Formal connection between lightness algorit hms [J]. J. Opt. Soc. Am. A,1986,3 (10):1684-1693.
    [21]M. S. Livingstone, D. H. Hubel. Anatomy and physiology of a color system in the primate visual cortex [J]. J. Neurosci.1984,4 (1):309-356.
    [22]S. M. Zeki. Color coding in the cerebral cortex:the reaction of cells in the monkey visual cortex to wavelengths and colors [J]. J. Neurosci.,1983,9 (4):741-765.
    [23]S. M. Zeki. The representation of colors in the cerebral cortex[J]. Nature,1980, 284(5755):412-418.
    [24]Brian Funt, Florian Ciurea, John McCann. Retinex in Matlab [J]. Journal of Electronic Imaging,2004,13(1):48-57.
    [25]J. J. McCann. Capturing a black cat in shade:the past and present of retinex color appearance models [C]. SPIE,2002,4662:331-340.
    [26]Robert Sobol. Improving the retinex algorithm for rendering wide dynamic range photographs [C]. S PI E,2002,4662:341-348.
    [27]B. V. Funt, M. S. Drew, M. Brockington. Recovering shading from color images[C]. Proc. European Conference on Computer Vision (ECCV' 92),1992. 124-132.
    [28]Brian Funt, Florian Ciurea, John McCann. Tuning retinex parameters [C]. S PIE,2002,4662:358—366.
    [29]Graham D. Finlayson, Steven D. Hordley. Color constancy at a pixel [J]. J. Opt. Soc. Am. A,2001,18 (2):253-264.
    [30]D. J. Jobson, Z. Rahman, G. A. Woodell. Properties and performance of a center/surround retinex [J]. IEEE Trans. on Image Processing:Special Issue on Color Processing,1997,6(3):451-462.
    [31]D.J.Jobson, Z.Rahman, G.A.Woodell. A multi-scale retinex for bridging the gap between color images and the human observation of scenes [J]. IEEE Trans. on Image Processing:Special Issue on Color Processing,1997,6(7):965-976.
    [32]Zia-ur Rahman, Daniel J. Jobson, Glenn A. Woodell. Retinex processing for automatic image enhancement [J]. Journal of Electronic Imaging,2004,13(1):100-110.
    [33]Zia-ur Rahman, Daniel J. Jobson, Glenn A. Woodell et al. Image enhancement, image quality, and noise [C]. SPIE,2005,5907:59070N-1-59070N-15.
    [34]Zia-ur Rahman, Daniel J. Jobson, Glenn A. Woodell. Multi-scale retinex for color image enhancement [C]. Proc. IEEE Intl. Conf. Image Process,1996, (3):1003-1006.
    [35]Tat sumi Watanabe, Yasuhiro Kuwahara, Akio Kojima et al. Improvement of color quality with modified linear multi-scale retinex[C]. SPIE,2003,5008:59-69.
    [36]S. Grossberg, E. Mingolla, J. Williamson. Synthetic aperture radar processing by a multiple scale neural system for boundary and surface representation [J]. Neural Networks,1995,8(7/8):1005-1028.
    [37]E. Mingolla, W. Ross, S. Grossberg. A neural network for enhancing boundaries and surfaces in synthetic aperture radar images [J]. Neural Networks,1999, 12(3):499-511.
    [38]S. Grossberg, E. Mingolla. Visual brain and visual perception:how does the cortex do perceptual grouping [J]. Trends in Neuroscience,1997,20(3):106-111.
    [39]S. Grossberg, R. D. S. Raizada. Contrast-sensitive perceptual grouping and object-based attention in the laminar circuit s of primary visual cortex [J]. Vision Research,2000,40(10):1413-1432.
    [40]Tian Pu, Jie Zhang, Guoqiang Ni. Color image enhancement using a multiple-scale opponent neural network [J]. Opt.Eng.,2004,43 (10):2369-2380.
    [41]Hau Ngo, Li Tao, Vijayan Asari. Design of an Efficient Architecture for Real-time Image Enhancement Based on a Luma-Dependent Nonlinear Approach [C]. Proc. of the International Conference on Information Technology:Coding and Computing (ITCC'04),2004,1:656-660.
    [42]徐道义.改良式Retinex的色彩影像强化研究[D].世新大学硕士论文,2005,7:38—54.
    [43]Xu Daoyi, Li Yunru, Xu Daoren. An innovative color enhancement utilizing human visulized system [J]. Journal of CAGST,2005.23-35.
    [44]Lu J, Hearly D. M Jr. Contrast enhancement via multi-scale gradient transformation [A]. Proceedings of SPIE:wavelet application [C]. Oralando, FL, 1994.
    [45]Brown T J. An adaptive strategy for wavelet based image enhancement [A]. Proceedings of IMVIP 2000 Irish Machine Vision and Image Processing Conference [C].2000:67-81.
    [46]Velde K V. Multi-scale color image enhancement [A]. Proc. of 1999 International Conf. on Image Processing, ICIP 99 [C].1999,3:584-587.
    [47]A. Toet, Multi-scale color image enhancement, Pattern Recogn. Lett.13 (1992) 167-174.
    [48]K. V. Velde, "Multi-scale color image enhancement," in Proc. Int. Conf. Image Processing, vol.3,1999, pp.584-587.
    [49]Kai-Qi huang, Qiao Wang, Zhen-yang Wu, Color image enhancement and evaluation algorithm based on human visual system Proc. of the International Conference of Speech, Acoust, and Signal Process. (ICASSP04), Montreal, Canada, Ⅲ (2004) 721-724.
    [50]Kai-Qi Huang, Qiao Wang, Zhen-Yang Wu, Natural color image enhancement and evaluation algorithm based on human visual system. Computer Vision and Image Understanding 103 (2006):52-63.
    [51]黄凯奇,王桥,吴镇扬.基于视觉特性的多尺度彩色图像增强算法,电路与系统学报,1007-0249(2003)06-0113-05.
    [52]黄凯奇,王桥,吴镇扬.基于视觉特性和颜色空间的多尺度彩色图像增强算法,电子学报,2004,4,673—676.
    [53]Jean-Luc Starck, Fionn Murtagh, Emmanuel J. Candes, and David L. Donoho. Gray and Color Image Contrast Enhancement by the Curvelet Transform. IEEE TRANSACTIONS ON IMAGE PROCESSING, VOL.12, NO.6, JUNE 2003, 706-717.
    [54]马义德等,脉冲耦合神经网络与数字图像处理[M],电子工业出版社,第一版,2009,3.
    [55]Francis Crick.惊人的假说—灵魂的科学探索[M].汪云久,齐翔林等译.长沙:湖南科学出版社,2001.
    [56]阮迪云,寿天德.神经生理学[M].合肥:中国科学技术大学出版社,1992.
    [57]Charles M Gray, et al. Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties [J]. Nature, 1989,3(23):334-337.
    [58]Eckhorn R, et al. Coherent oscillations:A mechanism of feature linking in the visual cortex? [J] Multiple Electrode and Correlation Analyses in Cat Biological Cybernetics,1988,12(60):121-130.
    [59]Eckhorn R, et al. Feature linking via stimulus-evoped oscillations:Experimental results from cat visual cortex and functional implications from a network model [J]. Neural Network, IJCNN,1989,6(1):723-730.
    [60]Eckhorn R, et al. Feature linking via synchronization among distributed assemblies:Simulation of results from cat cortex [J]. Neural computation,1990, (2):293-307.
    [61]Michael A Cohen, Stephen Grossberg. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks [J]. IEEE Transactions on systems, Man and Cybernetics,1989, (13):70-81.
    [62]Carpenter G A, Grossberg S. Dynamic models of neural systems:Propagated singals, photoreceptor transduction and circadian rhythms [J]. Hodgson J P E, Ed. Oscillations in mathematical Biology, Springer Series:Lecture Notes in Biology, 1983:102-196.
    [63]Carpenter G A, Grossberg S. A neural theory of circadian rhythms:The gated pacemaker [J]. Biological Cybernetics,1983, (48):35-59.
    [64]Ch von der Malsburg, Schneider W. A neural cocktail-party processor [J]. Biological Cybernetics,1986,5(54):29-41.
    [65]Capocaccia Giulio, et al. Data fusion approach to obstacle detection and identification [J]. Sensor fusion:Spatial Reasoning and Scene Interpretation,1988, 1(1003):409-419.
    [66]Schneider J, et al. Evaluation of neuronal coupling dynamics [J]. Biological Cybernetics,1983,46(2):129-134.
    [67]Michael Stoecher, et al. A neural network for scene segmentation by temporal coding [J]. Neurocomputing,1996, (11):123-134.
    [68]Reitboeck H J, et al. Object separation in dynamic neural networks[C]. IEEE International Conference on Neural Networks,1993, (2):638-641.
    [69]Werner G, et al. Construction of concepts by the nervous system:From neurons to cognition [J]. Behavioral Science,1993, (38):114-123.
    [70]Eckhorn R, et al. Feature linking across cortical maps via synchronization [J]. Parallel Processing in Neural Systems and Computers,1990,626:101-104.
    [71]石美红等,一种新的彩色图像增强方法[J].计算机应用,2004,24(10):69—74.
    [72]Zhan Kun, et al. The relationship between human visual characteristics and PCNN for image processing [C]. IEEE Transaction on Image Processing,2008.
    [73]张军英,卢涛.通过脉冲耦合神经网络来增强图像[J].计算机工程与应用, 2003,19:93—95.
    [74]石美红等,一种新的对比度图像增强方法[J].计算机应用研究,2005,1:235—238.
    [75]孙紫鹏等,基于PCNN的纹理图像增强算法[J].应用科技,2006,33(10):5—8.
    [76]李国友等,基于脉冲耦合神经网络和遗传算法的图像增强[J].测试技术学报,2005,19,(03):304—309.
    [77]Ma Yide, et al. A novel algorithm of image enhancement based on pulse coupled neural network time matrix and rough set[C]. Fourth International Conference on Fuzzy Systems and Knowledge Discovery 2007,2007,03:86-90.
    [78]M.J.Seow, V.K.Asari, Homomorphic processing system and Ratio rule for color image enhancement, in:Proceedings of the IEEE International Joint Conference on Neural Networks, Budapest, Hungary,4 July,2004, pp.2507-2511.
    [79]M.J.Seow, V.K.Asari, Ratio rule and homomorphic filter for enhancement of digital colour image [J]. Neurocomputing 69 (2006) 954-958.
    [80]王彦臣.基于多尺度数字X光图像增强方法研究[D].中国科学院研究生院博士论文.2005:62-63.
    [81]胡广书.数字信号处理—理论、算法与实现.北京:清华大学出版社,1997.
    [82]王爱玲,叶明生,邓秋香.MATLAB R2007图像处理技术与应用.北京:电子工业出版社,2008.
    [83]R.C. Gonzalez, Digital Image Processing, Prentice Hall, Englewood Cliffs, NJ, 2002.
    [84]R.C. Gonzalez, Digital Image Processing Using MATLAB, Prentice Hall,2004, 205-206.
    [85]MathWorks, MATLAB7.4,2007.
    [86]Holger G. Adelmann, Butterworth equations for homomorphic filtering of images, Computers in Biology and Medicine 28 (1998) 169-181.
    [87]JOBSON D J,RAHMAN ZU,WOODELL GA. The statistics of visual representation[C]//Proceedings of SPIE Visual Information Proceeding XI. Washington:SPIE Press,2002:25-35.
    [88]王彦臣,李树杰,黄廉卿.基于多尺度Retinex的数字X光图像增强方法研究[J].光学精密工程 1004-924X(2006)01-0070-07.
    [89]Young Kyung Park, Seok Lai Park, Joong Kyu Kim, Retinex method based on adaptive smoothing for illumination invariant face recognition [J]. Signal Processing,25 January 2008.
    [90]P.Saint-Marc,J.-S.Chen,G.Medioni, Adaptives moothing:a general tool for early vision [J]. IEEE Trans. Pattern Anal. Mach. Intell.13 (6) (1991) 514-529.
    [91]K. Chen, Adaptive smoothing via contextual and local discontinuities [J]. IEEE Trans. Pattern Anal. Mach. Intell.27 (10) (2005) 1552-1567.
    [92]D. Shaked, R. Keshet, Robust recursive envelope operators for fast Retinex [J]. Hewlett-Packard Research Laboratories Technical Report HPL-2002-74R1,2002.
    [93]李弼程、罗建书,《小波分析及其应用》[M].北京:电子工业出版社,2003,132-133.
    [94]付祖芸,信息论—基础理论与应用[M].北京:电子工业出版社,2001.
    [95]Xiong Jie, et al. Real Color Image Enhanced by Illumination—Reflectance Model and Wavelet Transform [J].2009 International Forum on Information Technology and Applications, IFITA 2009 Processings:691-695.
    [96]张娜,王绪本,杨斯涵等,基于HSV空间的简牍图像增强算法研究,计算机应用研究,2007,24(6):204~207.
    [97]E. H. Land,J. J. McCann. Lightness and retinex theory [J]. J. Opt. Soc. Am. A, 1971,61(1):1-11.
    [98]E. H. Land. An alternative technique for the computation of the designator in the retinex theory of color vision [C]. Proc. Natl. Acad. Sci. USA,1986,83:3078-3080.
    [99]Stephane Mallat,《信号处理的小波导引》[M],机械工业出版社,2006.232-238.
    [100]高志、余啸海,《Matlab小波分析工具箱原理与应用》[M],国防工业出版社,2004.22-23.
    [101]P. Buser, M. Imbert, Vision [M], MIT Press, Cambridge, MA,1992.
    [102]飞思科技产品研发中心.小波分析理论与MATLAB7实现[M].北京:电子 工业出版社,2005:102.
    [103]Jose George and Indu S P. Color Image Enhancement and Denoising Using an Optimized Filternet Based Structure Tensor Analysis [J]. ICSP 2008 Processing 236-239.
    [104]K Rafael C. Gonzalez, Richard E. Woods, Digital Image Processing[M], Publishing House of Electronics Industry,2005:268.
    [105]阎静文等.数字图像处理[M].北京:国防工业出版社,2007:95-104.
    [106]Ranganath H S, et al. Pulse coupled neural networks for image processing[C]. Proceedings of IEEE Southeast Raleigh, NC,1995,3(26-29):37-43.
    [107]Kuntimated G, et al. Perfect image segmentation using pulse coupled neural networks[J]. IEEE Transactions on Neural Networks,1999,10(3):591-598.
    [108]Kinser J M. Recent research in pulse-coupled neural networks [C], SPIE Areosense conf, Orlan, FL,1996.
    [109]Ranganath H S, et al. Iterative segmentation using pulse coupled neural networks[C]. Proc. SPIE,1996, (2760):543-554.
    [110]Sim Haykin.叶世伟,史忠植译.神经网络原理[M].北京:机械工业出版社.2004:485-580.
    [111]J.E. Slotine and W. Li, Applied Nonlinear Control, Englewood Cliffs, NJ: Prentice-Hall,1991.
    [112]韩力群.人工神经网络教程[M].北京:北京邮电大学出版社.2006:147.
    [113]王耀南.智能信息处理[M].北京:高等教育出版社.2003:140-150.
    [114]Martin T. Hagan, Howard B. Demuth, Mark H. Beale,戴葵译.神经网络设计[M].北京:机械工业出版社.2005:378-398.
    [115]程云鹏.矩阵论[M].西安:西北工业大学出版社.1994:391-399.
    [116]韩丽娜、熊杰、耿国华、周明全.利用HSV空间的双通道同态滤波真彩图像增强[J].《计算机工程与应用》.2009,27:18-20.
    [117]Xiong Jie, Han Li-na, Geng Guo-hua, Zhou Ming-quan. Based on HSV space real-color image enhanced by multi-scale homomorphic filters in two channels [C]. Proceedings of the 2009 WRI Global Congress on Intelligent Systems. GCIS 2009:160-165.
    [118]熊杰、韩丽娜、耿国华、周明全.使用类似Retinex方法增强数字医学图像[J].《计算机工程与应用》.2009,24:14-16.
    [119]Xiong Jie, Han Li-na, Geng Guo-hua, Zhou Ming-quan. Real color image enhanced by illumination-reflection model and wavelet transform[C]. Proceedings-2009 International Conference on Information Technology and Computer Science. ITCS 2009:351-356.
    [120]熊杰、韩丽娜、耿国华、周明全.使用同态分解和小波变换的真彩图像增强[J].《计算机工程与应用》.2010,4:25-27.
    [121]Xiong Jie, Han Li-na, Geng Guo-hua, Zhou Ming-quan. Real color image enhancement based on the spectral sensitivity of most people vision and stationary wavelet transform [C]. Proceedings-2009 2nd IEEE International Conference on Computer Science and Information Technology. ICCSIT 2009:323-328.
    [122]Xiong Jie,Han Li-na,Geng Guo-hua,Zhou Ming-quan. Real-color image denoised and enhanced synchronously based on wavelet transform[C].2009 2nd International Conference on Intelligent Computing Technology and Automation.ICICTA 2009:658-661.
    [123]熊杰、韩丽娜、耿国华、周明全.使用静态小波变换降噪与增强真彩图像[J].《计算机科学》.2010,11:254-257.