多模态纸币图像分析关键技术研究及其应用
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摘要
纸币是一个国家的名片,流通纸币的清洁程度反映了一个国家的文明程度,体现了一个国家的实力与地位。纸币图像包含了可见光图像信息、红外光图像信息、紫外光图像信息以及磁图像信息、纸张厚度信息等多类别多模态信息。通过对纸币图像的分析与理解能够高可靠地对纸币进行分类,并且检测出假币、旧币、残币以及不易流通的纸币,保证流通纸币的安全性、可靠性和整洁性。本文重点研究了纸币图像分析的几个关键技术,并构建了一个实际纸币清分系统,具体研究内容如下:
     (1)首先针对传统纸币图像特征提取方法中掩模特征稳定性欠佳与网格特征不易区分风格相近纸币图像的缺陷,研究了基于离散Haar小波变换与模糊逻辑相结合的纸币图像特征提取方法。首先使用Haar小波对纸币图像进行分解操作,提取出纸币图像的低频小波系数与高频小波系数。在此基础上通过引入模糊逻辑的方法来描述纸币图像的灰度模糊性,分别把提取的小波系数作为语言变量,输入到相应的隶属度函数中,在模糊特征空间中求出每个模糊区域对应的激活强度值,将这些激活强度值进行归一化处理后构成纸币特征向量,最后使用神经网络分类器对纸币图像进行识别。提取的纸币特征向量具有较好的可区分性与抗干扰性,解决了低质量纸币图像如污损图像、受到噪声干扰的图像以及扭曲变形纸币图像的识别不一致性问题。
     (2)针对小波变换不具备灵活的方向选择性,而且不能最优地稀疏表示图像的缺陷,提出了一种基于Contourlet变换与模糊逻辑相结合的纸币图像特征提取方法。由于纸币图像具有丰富的纹理结构特征信息,因此通过将纸币图像分解为不同尺度不同方向的子带来达到区分不同纸币图像纹理特征区域的目的。解决了低质量纸币图像识别性能较差的问题,具有高稳定性与可靠性。根据纸币图像经过Contourlet变换后各子带系数分布的统计特性,研究了基于Contourlet变换与混合高斯模型相结合的纸币图像分类方法,该方法首先对纸币图像进行Contourlet变换,采用混合高斯模型描述纸币图像变换系数的统计分布;然后运用最大似然估计算法训练模型参数,并且将训练得到的模型参数集合作为特征向量进行识别。该方法首次将统计建模思想引入到纸币识别过程中。
     (3)为了能更好地捕获纸币图像纹理特征信息与局部相位特征信息,研究了基于旋转四元数小波变换的纸币图像分类方法。旋转四元数小波变换是通过重新构造四元数小波变换中的Garbor滤波器来实现的。其中旋转四元数小波变换由一个幅值与三个四元相位组成,其中两个四元相位表示纸币图像的局部位移信息,第三个四元相位表示纸币图像纹理信息,幅值表示四元相位信息变化趋势,同时四元数旋转小波变换具有平移不变性。首先运用旋转四元数小波变换对纸币图像进行分解操作;然后计算每个分解子带系数的能量与标准差;最后运用支持向量机进行纸币图像识别。该方法取得了较高的识别率并且能够满足清分系统的实时性要求。
     (4)为了提高纸币图像污损检测的准确率,同时减少撕裂与笔迹等现象对污损检测造成的影响,提出了一种基于小波变换的纸币图像污损检测方法。首先采用基于小波变换的图像配准等价性框架对纸币图像进行配准;然后运用Kirsch边缘检测算子提取纸币图像的边缘信息,将计算得到的纸币图像边缘幅值差作为污损特征;最后将纸币图像划分为若干固定大小子区域,通过对每个子区域的污损特征统计来判断该区域是否存在污损。提取的污损特征对于纸币图像灰度值退化现象具有较强的抗干扰能力,同时具有高污损识别率与检测稳定性。
     (5)在上述研究内容基础上,本文完成了一个实际的纸币清分系统并且已经投入到实际应用中。
Banknote is a country business card, the clean degree of banknote in circulation reflects civilization degree and can embody the strength and status of country. The banknote image includes multi-class and multi-mode information such as visible image information, infrared image information, ultraviolet image information, magnetic image information and paper thickness information. Banknote classification and detection of counterfeit currency, defected currency, worn currency and unease circulation currency are completed by analysis and understanding of banknote high reliably. Doing that in order to make circulation safty, reliability and netness. Several key techniques of banknote image analysis are studyied in this paper, and construct a practical banknote sorting system. The really research content is as follows:
     1. According to the defects of feature extraction methods which has low stability of mask and difficulty discrimination of grid feature, a new banknote feature extraction method based on Haar wavelet transform and fuzzy logic is proposed. Firstly, apply the Haar wavelet transform to the banknote image, and then obtain the approximation and detail coefficients. The fuzzy of banknote image is discribed by fuzzy logic. We make two linguistic variables corresponding two coefficients, and the firing strength is calculated by membership function in the fuzzy feature space. Then the banknote image feature vector is obatined by normalizing the firing strength. Finally, the neural network is applied to classify the banknote image. The extracted feature has sensitiveness and robustness. It is well solved the classification inconformity caused by defected image, noise and distoration during the sample by contact image sensor.
     2. The wavelet transorm has two drawbacks which are non sensitive direction selection and non sparse reprensentation of banknote image. So the new banknote feature extraction method based on Contourlet transform and fuzzy logic is proposed. The rich textual information of banknote image is extracted by decomposing the banknote image into different directions and resolutions. It has good recognition ability to low quality banknote image. Meanwhile the feature extraction method is posed based on statistical characteristics of coefficients which are at different resolution and direction. The Contourlet transoform is used to decompose the banknote image, and then using the mixture gaussian model describes the coefficients distribution, using the EM algorithm to estimate the parameters of the model. The idea of statistical modeling is applied to banknote image classification firstly.
     3. In order to capture the rich textual information and local shift information of banknote image, the new banknote image classification method based on rotated quaternion wavelet transform is proposed. The new rotated quaternion wavelet transform is constructed by changing the Garbor filter. The rotated quaternion wavelet consists of one magnitude and three phases, the two phase represent local shift information of image ant the other denote the textual information of image. Firstly, apply the rotated quaternion wavelet transform to the banknote image; then calculate the standard deviation and energy. Finally, using the support vector machine to classify the banknote image. The method obtains high recognition rate and satisfy the real-time requirement of banknote sorting system.
     4. In order to improve the defect detection rate and decrease the effects of tearing and handwriting, a new banknote image defect detection method is proposed based on wavelet transform. The affine transformation and wavelet transformaton are used to image registration. The edge detector is applied to extract the edge information of banknote image. The banknote image defected feature is obtained by calculating the difference of magnitude. Then the whole banknote image is divided into several same rectangular region, and judge the defect banknote image via regional defect feature. The proposed method has strong resistence to gray scale alteration, and obtain high recognition rate and stability.
     5. A practical banknote sorting system is finished based on research contents described above and make it to real application.
引文
[1] Kato N, Omachi S. A handwriting character recognition system using directional element feature[J]. IEEE Trans on Pattern Analysis and Machine Intelligence, 1999, 21(3): 258-262.
    [2] F Takeda, S Omatu. Bank Note Recognition System Using Neural Network with Random Masks, Proceeding of the World Congress an Neural Networks, Vol. I , Portland, USA,1993: 241-244.
    [3] P. Viola and M. Jones. Rapid Object Detection using a Boosted Cascade of Simple Features, IEEE International conference on computer vision and pattern recognition, Hawaii, 2001: 511-518.
    [4] P. Viola M. Jones and D. Snow. Detecting Pedestrians Using Patterns of Motion and Appearance Proceedings of the International Conference on Computer Vision, Nice, France. 2003: 1324-1331.
    [5] F. Kong, J. Ma and J. Liu. Paper Currency Recognition using Gaussian Mixture Models Based on Structural Risk Minimization, Proceedings of the Fifth Int. Conf. on Machine Learning and Cybernetics, 2006:3213-3217.
    [6]刘家锋,刘松波,唐降龙.一种实时纸币识别方法的研究[J].计算机研究与发展, 2003, 40(7): 1057-1061.
    [7] Chao He,Mark Girolami, Gany Ross. Employing optimized combination of one-class for automated currency validation[J]. Pattern Recognition, 2004, 37(6):1085-1096.
    [8] Law M.H.C, Figueiredo M.A.T, Jain A.K. Simultaneous feature selection and clustering using mixture models[J]. IEEE Trans on Pattern Analysis and Machine Intelligence, 2004, 26(9):1154-1166.
    [9] Choi E, Lee J, Yoon J. Feature Extraction for Bank Note Classification Using Wavelet Transform [A]. IEEE International Conference on Pattern Recognition[C].Hongkong, China, 2006.934-937.
    [10] Chappelier V, Guillemot C. Oriented Wavelet Transform for Image Compression and Denoising[J]. IEEE Trans on Image Processing, 2006, 15(10):2892-2903.
    [11] M.M,Ionescu, A.L,Ralescu. The impact of image partition granularityusing fuzzy hamming distance as image similarity measure[C]. Proc in MAICS, 2004:111-118.
    [12] Ionescu M, Ralescu A. Fuzzy Hamming Distance Based Banknote Validator[C]. IEEE International Conference on Fuzzy Systems,2005:300-305.
    [13] Sharma,A,Paliwal,K.K. Improved nearest centroid classifier with shrunken distance measure for null LDA method on cancer classification problem[J]. Electronic Letters, 2010,46(18):1251-1252.
    [14] Takeda,F,Omatu,S. High speed paper currency recognition by neural networks[J]. IEEE Trans on Neural Networks,1995,6(1):73-77.
    [15] Frosini,A;Gori,M,Priami,P. A neural network-based model for paper currency recognition and verification [J]. IEEE Trans on Neural Networks, 1996,7(6):1482-1490.
    [16] A. Ahmadi and S. Omatu. A High Reliabilily Method for Classification of Paper Currency Based on Neural Networks[C]. Proceeding of The Eighth International Symposium an Artificial Life and Robotics, Oita, Japan, 2003(2):601-604.
    [17] M. Teranishi, S. Omahl and T. Kosaka. Neura-classifier ofcurrency Fatigue Level Based on Acoustic Cepstlum Pattems[J]. Joumal of Advanced Computational Intelligence, 2000(4):18-23.
    [18] M. Tanaka. Modeling of Mixtures of Principal Component Analysis Modcl with Genetic Algorithm[C]. Proc. 3lst Int’l Symposium on Stochastic Systems Thcory and Its Applications, Yokohama, Japan, 1999:157-162.
    [19] M.Pontil,A.Verri. Support vector machines for 3D object recognition[J]. IEEE Trans on Pattern Analysis and Machine Intelligence, 1998,20(6):637-646.
    [20] H.Drucker, D.Wu,V.Vapnik. Support vector machines for spam categorization[J]. IEEE Trans on Neural Networks, 1999,10(5):1048-1054.
    [21] K.I.Kim, K.Jung,etc. Support vector machines for texture classification[J]. IEEE Trans on Pattern Analysis and Machine Intelligence, 2002,24(11):1542-1550.
    [22] Chi-Yuan Yeh,Wen-Pin Su,etc. Employing multiple-kernel support vectormachines for counterfeit banknote recognition[J].Applied Soft Computing, 2011,11(1):1439-1447.
    [23] CS.Ong,A.J.Smola,etc.Learning the kernel with hyperkernels[J]. Journal of Machine Learning Research,2005,6:1043-1071.
    [24] Z.Wang,S.Chen,T.sun,etc. A novel multiple kernel learning algorithm[J]. IEEE Transaction on Pattern Analysis and Machine Intelligence, 2008,30(2):348-353.
    [25] Chi-Yuan Yeh, Wen-Pin Su, Shie-Jue Lee. Employing multiple-kernel support vector machine for counterfeit banknote recognition[J]. Applied Soft Computing,2011,11(1):1439-1477.
    [26] Mohamed M A, Gader P. Generalized hidden Markov models.I.Theoretical frameworks[J]. IEEE Trans on Fuzzy Systems, 2000,8(1):67-81.
    [27] Mohamed M,GaderP. Handwritten word recognition using segmentation free hidden Markov modeling and segmentation based dynamic programming techniques[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1996,18(5):548-554.
    [28] Yanni Sun, Buhler J.Designing Patterns and Profiles for Faster HMM Search[J]. IEEE Transactions on Computational Biology and Bioinformatics, 2009,6(2):232-243.
    [29] Popescu M,Gader P, Keller JM. Fuzzy spatial pattern processing using linguistic hidden markov models[J].IEEE Transactions on Fuzzy Systems, 2006,14(1):81-92.
    [30] Byung-Woo Min,Ho-Sub Yoon,Jung Soh,etc. Hand gesture recognition using hidden markov models[C]. IEEE International Conference on Systems,Man,and Cybernetics,1997:4232-4235.
    [31] Jianlin Cheng,Tegge,A,N,Baldi,P. Machine Learning Methods for Protein Structure Prediction[C]. IEEE Reviews on Biomedical Engineering, 2008:41-49.
    [32] Yunxin Zhao,Gader,P,Ping Chen,etc. Traning DHMMs of mine and clutter to minimize landmine detection errors[J]. IEEE Trans on Geoscience and Remote Sensing, 2003,41(5):1016-1024.
    [33] Hamid Hassanpour,Payam.M.Farahabadi. Using Hidden Markov Models for paper currency recognition[J]. Expert Systems with Applications,2009,36(6):10105-10111.
    [34] Munoz A,Moguerza JM. Estimation of high-density regions using one-class neighbor machines. IEEE Trans on Pattern Analysis and Machine Intelligence,2006,28(3):476-480.
    [35] Defeng Wang, Daniel S, etc. Structured One-Class Classification[J]. IEEE Trans on systems,Man,and Cybernetics,2006,36(6):1283-1295.
    [36]潘志松,陈斌,缭志敏,倪桂强. One-Class分类器研究[J].电子学报,2009, 37(11):2496-2503.
    [37] Chao He,Mark Girolami,Gary Ross. Employing optimized combinations of one-class classifiers for automated currency validation[J]. Pattern Recognition, 2004,
    [38] Massaru Teranishi, Sigeru Omatu, Toshihisa Kosaka. New and Used Bills Class for Cepstrum Patterns[C]. International Joint Conference on Neural Networks, 2000(1):23-25.
    [39] Watanabe,T,Sugawara,K,Sugihara,H. A new pattern representation scheme using data compression[J]. IEEE Trans on Pattern Analysis and Machine Intelligent,2002,24(5):579-590.
    [40]王晓光.实用新型专利说明书.专利号95115183.5,1996,10,2.
    [41] Takeda,F, Nishikage,T. Multiple kinds of paper currency recognition using neural network and application for Euro currency[C]. IEEE International Conference on Neural Networks,2000:143-147.
    [42] Omachi,S,Omachi,M. Fast Template Maching With Polynomials[J]. IEEE Trans on Image Processing,2007,16(8):2139-2149.
    [43]顾临怡,谢英俊.发明专利申请公开说明书,专利号:95115183.5, 1996.10.02.
    [44]陈伟,赵艳华.银行纸币鉴伪系统设计[J].自动化技术与应用, 2003,22(3):53-56.
    [45]韩江,吴建霖,李良初等.智能红外测厚技术在纸币检伪中的应用[J].机械工程与自动化, 2010(1):32-37.
    [46]唐春晖,沈伟良.全自动人民币伪币鉴别仪的设计[J].仪表技术,2006, 3: 23-25.
    [47]何佳兵,李习伦,刘松波,王希奎.纸币清分机系统的研究与开发[J].机电工程技术,2007,36(8): 29-32.
    [48]钱斐斐.纸币残损状态识别技术研究[D].上海:交通大学学位论文,2011: 31-41.
    [49]欧阳松林.金通现金清分机的研制[J].电脑与信息技术,2000(2):45-47.
    [50]阮雷,叶玉堂,王鼎元等.基于RBF的纸币序列号识别方法[J].电子设计工程,2010, 9(18):51-54.
    [51]李文宏,田文娟,王霞等.基于支持向量机的人民币纸币序列号识别方法[J].信息与控制,2010, 39(4):462-466.
    [52] Zadeh L A.Fuzzy sets[J].Information and Control,1965,8:338-353.
    [53] Gader,P.D,Keller,J.M,etc.Neural and fuzzy methods in handwriting recognition[J]. Computer,1997,30(2):79-86.
    [54] Ndousse,T.D. Fuzzy neural control of voice cells in ATM networks[J]. IEEE Trans on selected areas in communications,1994,12(9):1488-1494.
    [55] Jia Zeng,Zhi-Qiang Liu. Type-2 Fuzzy Markov Random Fields and Their Application to Handwritten Chinese Character Recognition[J]. IEEE Trans on Fuzzy Systems,2008,16(3):747-760.
    [56] Shyi-Ming Chen,Nai-Yi Wang. Fuzzy Forecasting Based on Fuzzy-Trend Logical Relationship Groups[J]. IEEE Trans on Systems,Man and Cybernetics,2010,40(5):1343-1358.
    [57]谢季坚,刘承平.模糊逻辑方法及其应用[M].武汉:华中科技大学出版社,2000:20-40.
    [58] Zadeh Lotfi A. Outline of a New Approach to the Analysis of Complex Systems and Decision Process[J]. IEEE Trans on Systems,Man and Cybernetics, 1973, SMC-3(1):28-44.
    [59] D Marr, T Poggio. A Computational Theory of Human Stereo Vision[J]. Biological Sciences,1979,204(1156):301-328.
    [60] Burt P, Adelson E. The Laplacian pyramid as a compact image code[J]. IEEE Trans on Communications, 1983,31(4):532-540.
    [61] Crowley J L, Hoffman H J, Stultz T J.A model for field-sensitive interface[J].Journal of Applied Physics,1982,53(10):6919-6926.
    [62] A Grossmann, J Morlet. Decomposition of Hardy functions into square integrable wavelets of constant shape[M]. Fundamental Papers in Wavelet Theory, 1984:126-140.
    [63]张国华,张文娟,薛鹏翔.小波分析与应用基础[M].西安:西北工业大学出版社,2006:14-25.
    [64] Choi E, Lee J, Yoon J. Feature Extraction for Bank Note Classification Using Wavelet Transform[C]. IEEE International Conference of Pattern Recognition, HongKong, China, 2006:934-937.
    [65] Li C, Huang J, Chen C. Soft computing approach to feature extraction[J]. Fuzzy Sets and Systems, 2004, 147(1): 119-140.
    [66] Po D,Do M.N. Directional multiscale modeling of images using the contourlet transform[J]. IEEE Trans on Image Processing, 2006,15(6):1610-1620.
    [67] Do M.N, Vetterli M. The contourlet transform:an efficient directional multiresolution image representation[J]. IEEE Trans on Image Processing,2005,14(12):2091-2106.
    [68] Eslami R,Radha H. Translation-Invariant Contourlet Transform and Its Application to Image Denoising[J].IEEE Trans on Image Processing, 2006,15(11):3362-3374.
    [69] Zhou Z F,Shui P L. Contourlet-based image denoising algorithm using directional windows[J]. IEEE Trans on Electronics Letters,2007,43(2):92-93.
    [70] Burt P.J, E.H.Adelson. The Laplacian pyramid as a compact image code[J]. IEEE Transactions on Communication, 1983,31(4):532-540.
    [71] R H Bamberger, M J T Smith. A filter bank for the directional decomposition of images: Theory and design[J]. IEEE Trans on Signal Processing, 1992, 40(4):882-893.
    [72] Duncan D Y, Minh N.Do. Directional Multiscale Modeling of Images Using the Contourlet Transform[J]. IEEE Trans on Image Processing, 2006,15(6):1610-1711.
    [73] Soo Chang Kim, Tae Jin Kang. Texture classification and segmentation using wavelet packet frame and Gaussian mixture model[J]. Pattern Recognition,2007,40(4):1207-1221.
    [74]程小红.哈密顿和四元数[J].数学通报,2006,45(6):57-59.
    [75] Selesnick I W,Baraniuk R G,Kingsbury N C. The dual-tree complex wavelet transform[J]. IEEE Trans on Signal Processing Magzine, 2005,22(6):123-151.
    [76] Soo-Chang Pei,Jian-Jiun Ding,Ja-Han Chang. Efficient implementation of quaternion Fourier transform,convolution, and correlation by 2-D complex FFT[J]. IEEE Trans on Signal Processing, 2001,49(11):2783-2797.
    [77] Min-Hung Yeh. Relationships Among Various 2-D Quaternion Fourier Transforms[J]. IEEE Trans on Signal Processing Letters, 2008,15:669-672.
    [78] Rehman N,Mandic D P. Empirical Mode Decomposition for Trivariate Signals[J]. IEEE Trans on Signal Processing, 2010, 58(3):1059-1068.
    [79] Eduardo Bayro. The theory and use of the Quaternion Wavelet Transform[J]. Journal of Mathematical Imaging and Vision, 2006, 24(1):19-35.
    [80] Eduardo Bayro. Multi-resolution image analysis using the quaternion wavelet transform[J]. Journal of Numerical Algorithm, 2005,39(1-3):35-55.
    [81] Jun Zhou, Yi Xu, Xiaokang Yang. Quaternion wavelet phase based stereo matching for uncalibrated images[J]. Pattern Recognition Letters, 2007,28(12):1509-1522.
    [82] Dawit Assefa, Lalu Mansinha,Kristy F etc.Local quaternion Fourier transform and color image texture analysis[J]. Signal Processing, 2010,90(6):1825-1835.
    [83] Liefeng Bo,Licheng Jiao,Ling Wang. Working Set Selection Using Functional Gain for LS-SVM[J]. IEEE Trans on Neural Networks, 2007,18(5):1541-1544.
    [84] Sheng Zheng,Wen Zhong,Jian Liu,Jinwen Tian. Remote Sensing Image Fusion Using Multiscale Mapped LS-SVM[J]. IEEE Trans on Geoscience and Remote Sensing, 2008,46(5):1313-1322.
    [85] Wang P,Tian J W,Gao C Q. Infrared small target detection using directional highpass filters based on LS-SVM[J]. IEEE Trans on Electronic Letters,2009,45(3):156-158.
    [86]张浩然,汪晓东.回归最小二乘支持向量机的增量和在线式学习算法[J].计算机学报, 2006, (3):400-406.
    [87] Caner G,Tekalp A M, Sharma G, Heinzelman W. Local Image Registration by Adaptive Filtering[J]. IEEE Trans on Image Processing,2006,15(10):3053-3065.
    [88] Gholipour A, Kehtarnavaz N,Briggs R,Devous M. Brain Functional Localization: A Sruvey of Image Registration Techniques[J]. IEEE Trans on Medical Imaging, 2007, 26(4):427-451.
    [89]文贡坚,吕金建,王继阳.基于特征的高精度自动图像配准方法.软件学报,2008,(9):2293-2301.
    [90] Reddy B S, Chatterji B N. An FFT-based technique for translation, rotation, and scale-invariant image registration[J]. IEEE Trans on Image Processing, 2009,5(8):1266-1271.
    [91] Li H, Manjunath B S,Mitra S K. A contour-based approach to multisensor image registration[J]. IEEE Trans on Image Processing,2000,4(3):320-334.
    [92] Y Chai, H F Li, J F Qu. Image fusion scheme using a novel dual-channel PCNN in lifting stationary wavelet domain[J]. Optics Communications, 2010, 283(19):3591-3602.
    [93] Bowsher J E,Delong D M,Turkington T G,Jaszczak R J. Aligning emission tomography and MRI images by optimizing the emission-tomography image reconstruction objective function[J]. IEEE Trans on Nuclear Science, 2006, 53(3):1248-1258.
    [94] Ben Sbeh Z,Cohen L D, Mimoun G,Coscas G. A new approach of geodesic reconstruction for drusen segmentation in eye fundus images[J]. IEEE Trans on Medical Imaging, 2001,20(2):1321-1333.
    [95] D I Barnea, H F Silverman. A Class of Algorithms for Fast Digital Registration[J]. IEEE Trans on Computers, 1972(C-21):179-186.
    [96] P A Viola, W M Wells. Alignment by maximization of mutual information [J]. International Journal of Computer Visioin, 1997,24(2):137-154.
    [97] F Maes, A Collignon, D Vandermeulen, G Marchal, P Suetens. Multimodality image registration by maximization of mutual information [J]. IEEE Trans on Medical Imaging,1997,16(2):187-198.
    [98] H Li, BS Manjunath, S K Mitra. A coutour-based approach to multisensor image registration[J]. IEEE Trans on Image Processing,1995,4(3):320-334.
    [99] D Shin, JK Plooard, J P Muller. Accurate geometric correction of ATSR images. IEEE Trans on Geoscience and Remote Sensing, 1997, 35(4):997-1006.
    [100] V.Govindu, C Shekhar, R Chellappa. Using geometric properties for correspondence-less image alignment[C]. International Conference on Pattern Recognition, 1998, (1):37-41.
    [101] Schalkoff , Rober J, Mcvey, Eugene S. A Model and Tracking Algorithm for a Class of Viedo Targets[J]. IEEE Trans on Pattern Analysis and Machine Intelligence, 1982,4(1):2-10.
    [102] Thomas Bernier,Jacques Andre Landry. A new method for representing and matching shapes of natural objects[J]. Pattern Recognition, 2003, 36(8):1711-1723.
    [103]陈涛.图像仿射不变特征提取方法研究[D].北京:国防科学技术大学学位论文,湖南:2006:64-71.
    [104] Hsu H J,Jhing Fa Wang, Shang-Chia Liao. A Hybrid Algorithm With Artifact Detection Mechanism for Region Filling After Object Removal From a Digital Photograph[J]. IEEE Trans on Image Processing, 2007,16(6):1611-1622.
    [105] Sangwine S J, Ell T A. Colour image filters based on hypercomplex convolution[J]. IEEE Trans on Vision, Image and Signal Processing, 2000,147(2):89-93.
    [106] Nalwa, Vishvjit S, Binford, Thomas O. On Detecting Edges[J]. IEEE Trans on Pattern Analysis and Machine Intelligence, 1986, 8(6):699-714.
    [107] Holtzman R, Kastner R. The time-domain discrete Gree’s function method(GFM) characterizing the FDTD grid boundary[J]. IEEE Trans on Antennas and Propagation, 2001,49(7):1029-1093.

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