针对多视角条件下的图像目标分类问题，提出一种基于压缩感知特征的稀疏识别方法. 该方法以原始图像的感知数据为特征描述，将测试样本与训练样本集的压缩感知特征纳入稀疏识别的框架，并通过求解一个l1范数优化问题来获取分类结果. 实验表明，该方法不仅有效利用了压缩感知特征的信息冗余性来保证稀疏识别的性能，而且无需进行预处理就能较好地实现多视角图像的目标分类.
Multi-view image target classification is usually difficult. To deal with the problem, we propose a sparse recognition (SR) method with compressed sensing (CS) features. Sensing data of the original image are used as corresponding features. Both the test sample and the training sample set are integrated into an SR framework with their CS features. Classification results can be obtained by solving an l1-norm optimization problem. Experiments show that excellent performance of SR can be obtained by using CS features that retain information redundancy of the original sample. Meanwhile, multi-view image target classification is robust without preprocessing.
[1] Wright J, Yang A Y, Ganesh A, Sastry S S, Ma Y. Robust face recognition via sparse representation [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2009, 31(2): 210-227.
[2] Donoho D L. Compressed sensing [J]. IEEE Transactions on Information Theory, 2006, 52(4): 1289-1306.
[3] Candès E, Romberg J, Tao T. Robust uncertainty principles: exact signal reconstructionfrom highly incomplete frequency information [J]. IEEE Transactions on Information Theory, 2006, 52(2): 489-509.
[4] Qiao L, Chen S, Tan X. Sparsity preserving projections with applications to face recognition [J]. Pattern Recognition, 2010, 43(1): 331-341.
[5] Mahoor M H, Zhou M, Veon K L, Mavadati S M, Cohn J F. Facial action unit recognition with sparse representation [C]//2011 IEEE International Conference on Automatic Face & Gesture Recognition: 2011: 336-342.
[6] Sala Llonch R, Kokiopoulou E, Toši? I, Frossard P. 3D face recognition with sparse spherical representations [J]. Pattern Recognition, 2010, 43(3): 824-834.
[7] Lai J, Jiang X. Modular weighted global sparse representation for robust face recognition [J]. IEEE Signal Processing Letters, 2012, 19(9): 571-574.
[8] 魏冬梅，周卫东. 采用压缩感知的人脸识别算法 [J]. 计算机工程，2011, 37(18): 10-11, 15.
Wei Dongmei, Zhou Weidong. Face recognition algorithm using compressive sensing [J]. Computer Engineering, 2011, 37(18): 10-11, 15. (in Chinese)
[9] 李邺，陈北京，张旭，舒华忠. 一种结合稀疏表示和切比雪夫矩的人脸识别算法 [J]. 东南大学学报：自然科学版， 2012, 42(2): 249-253.
Li Ye, Chen Beijing, Zhang Xu, Shu Huazhong. Face recognition algorithm by using sparse representation and Tchebichef moments [J]. Journal of Southeast University: Natural Science Edition, 2012, 42(2): 249-253. (in Chinese)
[10] PHAM T V, SMEULDERS A W M. Sparse representation for coarse and fine object recognition [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2006, 28(4): 555-567.
[11] PICHEVAR R, NAJAF-ZADEH H, THIBAULT L, LAHDILI H. Auditory-inspired sparse representation of audio signals [J]. Speech Communication, 2011, 53(5): 643-657.
[12] 何楚，刘明，冯倩，邓新萍. 基于多尺度压缩感知金字塔的极化干涉SAR图像分类 [J]. 自动化学报，2011, 37(7): 820-827.
He Chu, Liu Ming, Feng Qian, Deng Xinping. PolInSAR image classification based on compressed sensing and multi-scale pyramid [J]. Acta Automatica Sinica, 2011, 37(7): 820-827. (in Chinese)
[13] GAO X, TIAN C. Multi-view face recognition based on tensor subspace analysis and view manifold modeling [J]. Neurocomputing, 2009, 72(16-18): 3742-3750.
[14] 马波，周越. 一种新的多视角人脸跟踪算法 [J]. 上海交通大学学报，2010, 44(7): 902-906.
MA Bo, ZHOU Yue. A new multi-view face tracking algorithm [J]. Journal of Shanghai Jiao Tong University, 2010, 44(7): 902-906. (in Chinese)
[15] Zhang H, Nasrabadi N M, Zhang Y, Huang T S. Joint dynamic sparse representation for multi-view face recognition [J]. Pattern Recognition, 2012, 45(4): 1290-1298.
[16] Baraniuk R. More is less: signal processing and the data deluge [J]. Science, 2011, 331(6018): 717 – 719.
[17] Peyré G. Best basis compressed sensing [J]. IEEE Transactions on Signal Processing, 2010, 58 (5): 2613-2622.
[18] 戴琼海，付长军，季向阳. 压缩感知研究 [J]. 计算机学报，2011, 34(3): 425-434.
Dai Qionghai, Fu Changjun, Ji Xiangyang. Research on compressed sensing [J]. Chinese Journal of Computers, 2011, 34(3): 425-434. (in Chinese)
[19] 刘佶鑫，孙权森. 分形压缩感知高维信号重构方法 [J]. 中国图象图形学报，2012, 17(3): 309-314.
Liu Jixin, Sun Quansen. Fractal compressive sensing for high-dimension signal recovery [J]. Journal of Image and Graphics, 2012, 17(3): 309-314. (in Chinese)
[20] He X, Yan S, Hu Y, Niyogi P, Zhang H J. Face recognition using Laplacianfaces [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2005, 27(3): 328-340.
[21] Moore S, Bowden R. Local binary patterns for multi-view facial expression recognition [J]. Computer Vision and Image Understanding, 2011, 115(4): 541-558.
