Laser & Optoelectronics Progress, Volume. 57, Issue 10, 101011(2020)
A Face Recognition Algorithm Based on Adaptive Weighted Curvelet Gradient Direction Histogram
Figures & Tables(14)
Fig. 1. Fusion images at four scales. (a) Scale 1; (b) scale 2; (c) scale 3; (d) scale 4
Fig. 3. ORL face dataset. (a) Image 1; (b) image 2; (c) image 3; (d) image 4; (e) image 5; (f) image 6
Fig. 4. AR face dataset. (a) Training sample; (b) facial express subset; (c) illumination subset; (d) partial occlusion subset A; (e) partial occlusion subset B
Fig. 5. CAS-PEAL face dataset. (a) Training sample; (b) Express subset; (c) Background subset; (d) Accessory subset
Fig. 7. Recognition rate of ORL face dataset in different block modes. (a) Coarse floor; (b) detail 1 floor; (c) detail 2 floor; (d) fine floor
Table 1. Form of Curvelet coefficients after Curvelet transform for 112 pixel×92 pixel face image
View tableTable 1. Form of Curvelet coefficients after Curvelet transform for 112 pixel×92 pixel face image
Coefficient level Coefficient matrix form Dimension Coarse 19×15 matrix 285 Detail 1 1×8 cell consisting of the matrix of size 17×31 or 37×15 4328 Detail 2 1×16 cell consisting of the matrix of size 32×31 or 28×30 or 38×26 or 38×23 14776 Fine 112×92 matrix 10304
Table 2. Recognition rate of Curvelet transform at different scales
View tableTable 2. Recognition rate of Curvelet transform at different scales
Scale Recognition rate /% ORL AR CAS-PEAL 1 90.00 91.00 98.14 2 92.50 92.33 98.54 3 93.00 94.67 98.89 4 95.50 95.67 99.20 5 89.50 90.67 95.94
Table 3. Recognition rate on ORL database
View tableTable 3. Recognition rate on ORL database
Algorithm Recognition rate /% Image 2 Image 3 Image 4 Image 5 Image 6 Wavelet 83.13 88.21 87.92 93.74 96.50 HOG 85.00 89.29 92.50 97.00 96.88 Curvelet+PCA+SRC 88.21 93.33 94.00 95.00 95.83 Gabor+HOG 90.41 94.61 97.21 98.20 98.69 NSCT+LBP 89.14 94.79 96.20 98.11 98.69 AWNHOG 82.25 87.21 91.25 95.00 96.88 AWCHOG+CRC 90.12 86.79 92.50 96.50 97.33 AWCHOG+KNN 90.71 95.50 96.88 98.75 99.27
Table 4. Recognition rate on CAS-PEAL database
View tableTable 4. Recognition rate on CAS-PEAL database
Algorithm Recognition rate /% Expression subset Accessory subset Background subset Wavelet 96.45 78.61 78.89 HOG 99.20 69.00 93.00 Curvelet+PCA+SRC 97.34 78.89 80.83 Gabor+HOG 99.73 87.22 95.56 NSCT+LBP 99.38 74.25 92.75 AWNHOG 99.63 80.50 99.00 AWCHOG+CRC 99.33 98.67 95.00 AWCHOG+KNN 99.75 97.50 98.50
Table 5. Recognition rate on AR database
View tableTable 5. Recognition rate on AR database
Algorithm Recognition rate /% Facial express subset Illumination subset Partial occlusion subset A Partial occlusion subset B Wavelet 92.67 80.50 79.50 62.00 HOG 91.33 90.33 69.00 49.00 Curvelet+PCA+SRC 94.67 85.50 91.33 73.67 Gabor+HOG 96.33 97.50 81.00 76.50 NSCT+LBP 96.67 98.33 96.67 76.00 AWNHOG 98.33 99.67 96.67 82.67 AWCHOG+CRC 95.33 96.67 93.67 80.33 AWCHOG+KNN 99.50 98.89 96.00 90.00
Table 6. Results of different algorithms on AR illumination subset after adding Gaussian noise
View tableTable 6. Results of different algorithms on AR illumination subset after adding Gaussian noise
Method Normalized variance of Gaussion white noise φ 0 0.0001 0.0002 0.0003 0.0004 Wavelet 80.50 39.00 21.50 16.67 14.67 81.78 HOG 90.33 68.33 58.67 53.67 52.33 42.06 Curvelet+PCA+SRC 85.50 71.67 68.33 67.67 65.67 23.19 Gabor+HOG 97.50 86.00 84.67 81.00 79.33 18.63 NSCT+LBP 98.33 91.50 85.50 74.00 70.50 28.30 AWNHOG 99.67 93.67 90.33 83.67 79.67 20.06 AWCHOG+KNN 98.89 98.00 96.67 91.67 90.67 8.31
Table 7. Dimensionality and time of different algorithms on ORL face dataset
View tableTable 7. Dimensionality and time of different algorithms on ORL face dataset
Method Feature dimensionality T1 /ms T2 /ms Wavelet 1920 16.4 14.2 HOG 320 4.5 38.1 Curvelet+PCA+SRC 2850 33.2 41.4 Gabor+HOG 9600 163.3 98.9 NSCT+LBP 3696 856.3 30.1 AWNHOG 2048 15.9 38.3 AWCHOG+KNN 2272 14.5 35.7
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Huixian Yang, Xiaoxiao Li, Weifa Gan. A Face Recognition Algorithm Based on Adaptive Weighted Curvelet Gradient Direction Histogram[J]. Laser & Optoelectronics Progress, 2020, 57(10): 101011
Paper Information
Category: Image Processing
Received: Sep. 22, 2019
Accepted: Oct. 18, 2019
Published Online: May. 8, 2020
The Author Email: Xiaoxiao Li (760262251@qq.com)
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