

FOLLOWUS
Department of Computer Engineering, Jiangsu Ocean University, Lianyungang 222005, China
Department of Mathematics, Jiangsu Ocean University, Lianyungang 222005, China
[ "Jian ZHANG, E-mail: zhangjian@jou.edu.cn" ]
Heng ZHANG, E-mail: zhangheng@jou.edu.cn
Received:11 October 2019,
Revised:2020-;7-23,
Published:2020-09
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Jian ZHANG, Heng ZHANG, Li-ling BO, et al. Subspace transform induced robust similarity measure for facial images[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(9): 1334-1345.
Jian ZHANG, Heng ZHANG, Li-ling BO, et al. Subspace transform induced robust similarity measure for facial images[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(9): 1334-1345. DOI: 10.1631/FITEE.1900552.
相似度度量方法在许多领域(如模式识别与机器感知)扮演着重要角色,引起国内外学者重点关注。当前,为图像构建二维稳健的相似度度量方法仍是重要研究课题。本文针对稳健人脸识别问题,基于子空间性质,提出一种有效且稳健的二维图像相似度度量方法。该方法通过线性变换与奇异值分解,度量两幅对齐人脸图像的相似度,同时消弱人脸识别过程中的干扰。展示了该方法的数学特征及度量特性,进而揭示所提方法的可行性与稳健机制。结合最近邻分类器,评估了所提方法在不同挑战下的人脸识别性能。实验结果表明所提方法在准确性和稳健性方面具有一定优势。
Similarity measure has long played a critical role and attracted great interest in various areas such as pattern recognition and machine perception. Nevertheless
there remains the issue of developing an efficient two-dimensional (2D) robust similarity measure method for images. Inspired by the properties of subspace
we develop an effective 2D image similarity measure technique
named transformation similarity measure (TSM)
for robust face recognition. Specifically
the TSM method robustly determines the similarity between two well-aligned frontal facial images while weakening interference in the face recognition by linear transformation and singular value decomposition. We present the mathematical features and some odds to reveal the feasible and robust measure mechanism of TSM. The performance of the TSM method
combined with the nearest neighbor rule
is evaluated in face recognition under different challenges. Experimental results clearly show the advantages of the TSM method in terms of accuracy and robustness.
Y Adini , , , Y Moses , , , S Ullman . . Face recognition: the problem of compensating for changes in illumination direction . . IEEE Trans Patt Anal Mach Intell , , 1997 . . 19 ( ( 7 ): ): 721 - - 732 . . DOI: 10.1109/34.598229 http://doi.org/10.1109/34.598229 . .
KW Bowyer , , , PJ Phillips . . Empirical Evaluation Techniques in Computer Vision , , : : Washington, USA IEEE Computer Society Press , , 1998 . . .
SW Chen , , , XL Dai , , , BB Pan , , , 等 . . A novel discriminant criterion based on feature fusion strategy for face recognition . . Neurocomputing , , 2015 . . 159 67 - - 77 . . DOI: 10.1016/j.neucom.2015.02.019 http://doi.org/10.1016/j.neucom.2015.02.019 . .
T Cover , , , P Hart . . Nearest neighbor pattern classification . . IEEE Trans Inform Theory , , 1967 . . 13 ( ( 1 ): ): 21 - - 27 . . DOI: 10.1109/TIT.1967.1053964 http://doi.org/10.1109/TIT.1967.1053964 . .
H Demirel , , , G Anbarjafari , , , MNS Jahromi . . Image equalization based on singular value decomposition . . Proc 23 rd Int Symp on Computer and Information Sciences , , 2008 . . p.1 - - 5 . . DOI: 10.1109/ISCIS.2008.4717878 http://doi.org/10.1109/ISCIS.2008.4717878 . .
J Demmel , , , W Kahan . . Accurate singular values of bidiagonal matrices . . SIAM J Sci Stat Comput , , 1990 . . 11 ( ( 5 ): ): 873 - - 912 . . DOI: 10.1137/0911052 http://doi.org/10.1137/0911052 . .
WH Deng , , , JN Hu , , , J Guo . . Extended SRC: undersampled face recognition via intraclass variant dictionary . . IEEE Trans Patt Anal Mach Intell , , 2012 . . 34 ( ( 9 ): ): 1864 - - 1870 . . DOI: 10.1109/TPAMI.2012.30 http://doi.org/10.1109/TPAMI.2012.30 . .
AS Georghiades , , , PN Belhumeur , , , DJ Kriegman . . From few to many: illumination cone models for face recognition under variable lighting and pose . . IEEE Trans Patt Anal Mach Intell , , 2001 . . 23 ( ( 6 ): ): 643 - - 660 . . DOI: 10.1109/34.927464 http://doi.org/10.1109/34.927464 . .
R Gross , , , I Matthews , , , J Cohn , , , 等 . . Multi-PIE . . Image Vis Comput , , 2010 . . 28 ( ( 5 ): ): 807 - - 813 . . DOI: 10.1016/j.imavis.2009.08.002 http://doi.org/10.1016/j.imavis.2009.08.002 . .
ZH Gu , , , M Shao , , , LY Li , , , 等 . . Discriminative metric: Schatten norm vs. vector norm . . Proc 21 st Int Conf on Pattern Recognition , , 2012 . . p.1213 - - 1216 . . . .
XT He , , , YX Peng , , , JJ Zhao . . Fast fine-grained image classification via weakly supervised discriminative localization . . IEEE Trans Circ Syst Video Technol , , 2019 . . 29 ( ( 5 ): ): 1394 - - 1407 . . DOI: 10.1109/TCSVT.2018.2834480 http://doi.org/10.1109/TCSVT.2018.2834480 . .
KC Lee , , , J Ho , , , DJ Kriegman . . Acquiring linear subspaces for face recognition under variable lighting . . IEEE Trans Patt Anal Mach Intell , , 2005 . . 27 ( ( 5 ): ): 684 - - 698 . . DOI: 10.1109/TPAMI.2005.92 http://doi.org/10.1109/TPAMI.2005.92 . .
CJ Liu . . Discriminant analysis and similarity measure . . Patt Recogn , , 2014 . . 47 ( ( 1 ): ): 359 - - 367 . . DOI: 10.1016/j.patcog.2013.06.023 http://doi.org/10.1016/j.patcog.2013.06.023 . .
Y Liu , , , R Jin . . Distance Metric Learning: a Comprehensive Survey . . Michigan State University , , 2006 . . p.4 . .
A Martínez , , , R Benavente . . The AR Face Database . . 24 CVC Technical Report , , 1998 . . .
I Naseem , , , R Togneri , , , M Bennamoun . . Linear regression for face recognition . . IEEE Trans Patt Anal Mach Intell , , 2010 . . 32 ( ( 11 ): ): 2106 - - 2112 . . DOI: 10.1109/TPAMI.2010.128 http://doi.org/10.1109/TPAMI.2010.128 . .
R Paredes , , , E Vidal . . Learning weighted metrics to minimize nearest-neighbor classification error . . IEEE Trans Patt Anal Mach Intell , , 2006 . . 28 ( ( 7 ): ): 1100 - - 1110 . . DOI: 10.1109/TPAMI.2006.145 http://doi.org/10.1109/TPAMI.2006.145 . .
YX Peng , , , XT He , , , JJ Zhao . . Object-part attention model for fine-grained image classification . . IEEE Trans Image Process , , 2017 . . 27 ( ( 3 ): ): 1487 - - 1500 . . DOI: 10.1109/TIP.2017.2774041 http://doi.org/10.1109/TIP.2017.2774041 . .
YX Peng , , , JW Qi , , , YX Yuan . . Modality-specific cross-modal similarity measurement with recurrent attention network . . IEEE Trans Image Process , , 2018 . . 27 ( ( 11 ): ): 5585 - - 5599 . . DOI: 10.1109/TIP.2018.2852503 http://doi.org/10.1109/TIP.2018.2852503 . .
V Perlibakas . . Distance measures for PCA-based face recognition . . Patt Recogn Lett , , 2004 . . 25 ( ( 6 ): ): 711 - - 724 . . DOI: 10.1016/j.patrec.2004.01.011 http://doi.org/10.1016/j.patrec.2004.01.011 . .
N Sebe , , , MS Lew , , , DP Huijsmans . . Toward improved ranking metrics . . IEEE Trans Patt Anal Mach Intell , , 2000 . . 22 ( ( 10 ): ): 1132 - - 1143 . . DOI: 10.1109/34.879793 http://doi.org/10.1109/34.879793 . .
YY Sun , , , F Tong , , , ZK Zhang , , , 等 . . Throughput modeling and analysis of random access in narrowband Internet of Things . . IEEE Int Things J , , 2018 . . 5 ( ( 3 ): ): 1485 - - 1493 . . DOI: 10.1109/JIOT.2017.2782318 http://doi.org/10.1109/JIOT.2017.2782318 . .
EP Vivek , , , N Sudha . . Robust Hausdorff distance measure for face recognition . . Patt Recogn , , 2007 . . 40 ( ( 2 ): ): 431 - - 442 . . DOI: 10.1016/j.patcog.2006.04.019 http://doi.org/10.1016/j.patcog.2006.04.019 . .
A Wagner , , , J Wright , , , A Ganesh , , , 等 . . Toward a practical face recognition system: robust alignment and illumination by sparse representation . . IEEE Trans Patt Anal Mach Intell , , 2012 . . 34 ( ( 2 ): ): 372 - - 386 . . DOI: 10.1109/TPAMI.2011.112 http://doi.org/10.1109/TPAMI.2011.112 . .
H Wang . . Nearest neighbors by neighborhood counting . . IEEE Trans Patt Anal Mach Intell , , 2006 . . 28 ( ( 6 ): ): 942 - - 953 . . DOI: 10.1109/TPAMI.2006.126 http://doi.org/10.1109/TPAMI.2006.126 . .
XG Wang , , , XO Tang . . Face photo-sketch synthesis and recognition . . IEEE Trans Patt Anal Mach Intell , , 2009 . . 31 ( ( 11 ): ): 1955 - - 1967 . . DOI: 10.1109/TPAMI.2008.222 http://doi.org/10.1109/TPAMI.2008.222 . .
Y Wen , , , L Zhang , , , KM von Deneen , , , 等 . . Face recognition using discriminative locality preserving vectors . . Dig Signal Process , , 2016 . . 50 103 - - 113 . . DOI: 10.1016/j.dsp.2015.11.001 http://doi.org/10.1016/j.dsp.2015.11.001 . .
J Wright , , , AY Yang , , , A Ganesh . . Robust face recognition via sparse representation . . IEEE Trans Patt Anal Mach Intell , , 2009 . . 31 ( ( 2 ): ): 210 - - 227 . . DOI: 10.1109/TPAMI.2008.79 http://doi.org/10.1109/TPAMI.2008.79 . .
J Wu , , , H Shen , , , YD Li , , , 等 . . Learning a hybrid similarity measure for image retrieval . . Patt Recogn , , 2013 . . 46 ( ( 11 ): ): 2927 - - 2939 . . DOI: 10.1016/j.patcog.2013.04.008 http://doi.org/10.1016/j.patcog.2013.04.008 . .
MC Wu , , , SB He , , , YT Zhang , , , 等 . . A tensor-based framework for studying eigenvector multicentrality in multilayer networks . . PNAS , , 2019 . . 116 ( ( 31 ): ): 15407 - - 15413 . . DOI: 10.1073/pnas.1801378116 http://doi.org/10.1073/pnas.1801378116 . .
WS Yambor , , , BA Draper , , , JR Beveridge . . Analyzing PCA-based face recognition algorithms: eigenvector selection and distance measures . . Empirical Evaluation Methods in Computer Vision , , 2002 . . p.39 - - 60 . . DOI: 10.1142/9789812777423_0003 http://doi.org/10.1142/9789812777423_0003 . .
DQ Zhang , , , SC Chen , , , ZH Zhou . . A new face recognition method based on SVD perturbation for single example image per person . . Appl Math Comput , , 2005 . . 163 ( ( 2 ): ): 895 - - 907 . . DOI: 10.1016/j.amc.2004.04.016 http://doi.org/10.1016/j.amc.2004.04.016 . .
J Zhang , , , J Yang . . Linear reconstruction measure steered nearest neighbor classification framework . . Patt Recogn , , 2014 . . 47 ( ( 4 ): ): 1709 - - 1720 . . DOI: 10.1016/j.patcog.2013.10.018 http://doi.org/10.1016/j.patcog.2013.10.018 . .
J Zhang , , , J Yang , , , JJ Qian . . Nearest orthogonal matrix representation for face recognition . . Neurocomputing , , 2015 . . 151 471 - - 480 . . DOI: 10.1016/j.neucom.2014.09.019 http://doi.org/10.1016/j.neucom.2014.09.019 . .
YM Zhang , , , SB He , , , JM Chen . . Data gathering optimization by dynamic sensing and routing in rechargeable sensor networks . . IEEE/ACM Trans Netw , , 2016 . . 24 ( ( 3 ): ): 1632 - - 1646 . . DOI: 10.1109/TNET.2015.2425146 http://doi.org/10.1109/TNET.2015.2425146 . .
CW Zhou , , , YJ Gu , , , SB He , , , 等 . . A robust and efficient algorithm for coprime array adaptive beamforming . . IEEE Trans Veh Technol , , 2018 . . 67 ( ( 2 ): ): 1099 - - 1112 . . DOI: 10.1109/TVT.2017.2704610 http://doi.org/10.1109/TVT.2017.2704610 . .
LS Zhuang , , , AY Yang , , , ZH Zhou , , , 等 . . Single-sample face recognition with image corruption and misalignment via sparse illumination transfer . . Proc IEEE Conf on Computer Vision and Pattern Recognition , , 2013 . . p.3546 - - 3553 . . DOI: 10.1109/CVPR.2013.455 http://doi.org/10.1109/CVPR.2013.455 . .
WW Zou , , , PC Yuen . . Discriminability and reliability indexes: two new measures to enhance multi-image face recognition . . Patt Recogn , , 2010 . . 43 ( ( 10 ): ): 3483 - - 3493 . . DOI: 10.1016/j.patcog.2010.05.024 http://doi.org/10.1016/j.patcog.2010.05.024 . .
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