Abstract

Through deducing the relationship between support vector machine (SVM) and correlation principle, the optimal hyperplane is proved as a correlation filter when the kernel function is the linear kernel. So a new correlation filter, named linear SVM correlation filter (LSCF), is proposed. The filter has not only shift-invariance, but also SVM properties. The real images of laser radar are used as experiment data, and LSCF is used to solve the in-plane rotation invariance. The results show that the filter can recognize the different rotated objects, and the correlation output is stable. The filter is insensitive to the noise and gray change, and has good discrimination ability. In the same design way, LSCF is also suitable to solve other problems of correlation distortion.

© 2007 Chinese Optics Letters

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2007

2006

J. Sun, W. Lu, Q. Li, and Q. Wang, Proc. SPIE 6027, 602731 (2006).

J. Sun, Q. Li, W. Lu, and Q. Wang, Chin. J. Lasers (in Chinese) 33, 1467 (2006).

2005

Q. Li, Y. Wang, Q. Wang, and Z. Li, Acta Opt. Sin. (in Chinese) 25, 581 (2005).

Z. Li, Q. Wang, Q. Li, and J. Sun, Chin. J. Lasers (in Chinese) 32, 356 (2005).

J. Sun, Q. Li, and Q. Wang, Proc. SPIE 5640, 434 (2005).

2004

2003

S. Roy, H. H. Arsenault, and D. Lefebvre, Opt. Eng. 42, 813 (2003).

2002

J. Yao, S.-M. Tan, and Y.-B. Liew, Opt. Eng. 41, 81 (2002).

2000

B. V. K. V. Kumar, A. Mahalanobis, and A. Takessian, IEEE Trans. Image Processing 9, 1025 (2000).

X. Zhang, Acta Automat. Sin. (in Chinese) 26, 32 (2000).

1999

V. N. Vapnik, IEEE Trans. Neural Networks 10, 988 (1999).

1997

T. J. Green, Proc. SPIE 3070, 200 (1997).

1994

1992

Arsenault, H. H.

S. Roy, H. H. Arsenault, and D. Lefebvre, Opt. Eng. 42, 813 (2003).

Du, W.

Green, T. J.

T. J. Green, Proc. SPIE 3070, 200 (1997).

Kumar, B. V. K. V.

B. V. K. V. Kumar, A. Mahalanobis, and A. Takessian, IEEE Trans. Image Processing 9, 1025 (2000).

A. Mahalanobis, B. V. K. V. Kumar, S. Song, and S. R. F. Sims, Appl. Opt. 33, 3751 (1994).

B. V. K. V. Kumar, Appl. Opt. 31, 4773 (1992).

Lefebvre, D.

S. Roy, H. H. Arsenault, and D. Lefebvre, Opt. Eng. 42, 813 (2003).

Li, Q.

J. Sun, Q. Li, W. Lu, and Q. Wang, Chin. Opt. Lett. 5, 118 (2007).

J. Sun, Q. Li, W. Lu, and Q. Wang, Chin. J. Lasers (in Chinese) 33, 1467 (2006).

J. Sun, W. Lu, Q. Li, and Q. Wang, Proc. SPIE 6027, 602731 (2006).

Q. Li, Y. Wang, Q. Wang, and Z. Li, Acta Opt. Sin. (in Chinese) 25, 581 (2005).

J. Sun, Q. Li, and Q. Wang, Proc. SPIE 5640, 434 (2005).

Z. Li, Q. Wang, Q. Li, and J. Sun, Chin. J. Lasers (in Chinese) 32, 356 (2005).

Z. Li, Q. Li, Z. Tian, Y. Wang, J. Sun, W. Du, and Q. Wang, Chin. Opt. Lett. 2, 210 (2004).

Li, Z.

Q. Li, Y. Wang, Q. Wang, and Z. Li, Acta Opt. Sin. (in Chinese) 25, 581 (2005).

Z. Li, Q. Wang, Q. Li, and J. Sun, Chin. J. Lasers (in Chinese) 32, 356 (2005).

Z. Li, Q. Li, Z. Tian, Y. Wang, J. Sun, W. Du, and Q. Wang, Chin. Opt. Lett. 2, 210 (2004).

Liew, Y.-B.

J. Yao, S.-M. Tan, and Y.-B. Liew, Opt. Eng. 41, 81 (2002).

Lu, W.

J. Sun, Q. Li, W. Lu, and Q. Wang, Chin. Opt. Lett. 5, 118 (2007).

J. Sun, Q. Li, W. Lu, and Q. Wang, Chin. J. Lasers (in Chinese) 33, 1467 (2006).

J. Sun, W. Lu, Q. Li, and Q. Wang, Proc. SPIE 6027, 602731 (2006).

Mahalanobis, A.

B. V. K. V. Kumar, A. Mahalanobis, and A. Takessian, IEEE Trans. Image Processing 9, 1025 (2000).

A. Mahalanobis, B. V. K. V. Kumar, S. Song, and S. R. F. Sims, Appl. Opt. 33, 3751 (1994).

Roy, S.

S. Roy, H. H. Arsenault, and D. Lefebvre, Opt. Eng. 42, 813 (2003).

Sims, S. R. F.

Song, S.

Sun, J.

J. Sun, Q. Li, W. Lu, and Q. Wang, Chin. Opt. Lett. 5, 118 (2007).

J. Sun, Q. Li, W. Lu, and Q. Wang, Chin. J. Lasers (in Chinese) 33, 1467 (2006).

J. Sun, W. Lu, Q. Li, and Q. Wang, Proc. SPIE 6027, 602731 (2006).

J. Sun, Q. Li, and Q. Wang, Proc. SPIE 5640, 434 (2005).

Z. Li, Q. Wang, Q. Li, and J. Sun, Chin. J. Lasers (in Chinese) 32, 356 (2005).

Z. Li, Q. Li, Z. Tian, Y. Wang, J. Sun, W. Du, and Q. Wang, Chin. Opt. Lett. 2, 210 (2004).

Takessian, A.

B. V. K. V. Kumar, A. Mahalanobis, and A. Takessian, IEEE Trans. Image Processing 9, 1025 (2000).

Tan, S.-M.

J. Yao, S.-M. Tan, and Y.-B. Liew, Opt. Eng. 41, 81 (2002).

Tian, Z.

Vapnik, V. N.

V. N. Vapnik, IEEE Trans. Neural Networks 10, 988 (1999).

Wang, Q.

J. Sun, Q. Li, W. Lu, and Q. Wang, Chin. Opt. Lett. 5, 118 (2007).

J. Sun, Q. Li, W. Lu, and Q. Wang, Chin. J. Lasers (in Chinese) 33, 1467 (2006).

J. Sun, W. Lu, Q. Li, and Q. Wang, Proc. SPIE 6027, 602731 (2006).

Q. Li, Y. Wang, Q. Wang, and Z. Li, Acta Opt. Sin. (in Chinese) 25, 581 (2005).

J. Sun, Q. Li, and Q. Wang, Proc. SPIE 5640, 434 (2005).

Z. Li, Q. Wang, Q. Li, and J. Sun, Chin. J. Lasers (in Chinese) 32, 356 (2005).

Z. Li, Q. Li, Z. Tian, Y. Wang, J. Sun, W. Du, and Q. Wang, Chin. Opt. Lett. 2, 210 (2004).

Wang, Y.

Q. Li, Y. Wang, Q. Wang, and Z. Li, Acta Opt. Sin. (in Chinese) 25, 581 (2005).

Z. Li, Q. Li, Z. Tian, Y. Wang, J. Sun, W. Du, and Q. Wang, Chin. Opt. Lett. 2, 210 (2004).

Yao, J.

J. Yao, S.-M. Tan, and Y.-B. Liew, Opt. Eng. 41, 81 (2002).

Zhang, X.

X. Zhang, Acta Automat. Sin. (in Chinese) 26, 32 (2000).

Acta Automat. Sin. (in Chinese)

X. Zhang, Acta Automat. Sin. (in Chinese) 26, 32 (2000).

Acta Opt. Sin. (in Chinese)

Q. Li, Y. Wang, Q. Wang, and Z. Li, Acta Opt. Sin. (in Chinese) 25, 581 (2005).

Appl. Opt.

Chin. J. Lasers (in Chinese)

J. Sun, Q. Li, W. Lu, and Q. Wang, Chin. J. Lasers (in Chinese) 33, 1467 (2006).

Z. Li, Q. Wang, Q. Li, and J. Sun, Chin. J. Lasers (in Chinese) 32, 356 (2005).

Chin. Opt. Lett.

IEEE Trans. Image Processing

B. V. K. V. Kumar, A. Mahalanobis, and A. Takessian, IEEE Trans. Image Processing 9, 1025 (2000).

IEEE Trans. Neural Networks

V. N. Vapnik, IEEE Trans. Neural Networks 10, 988 (1999).

Opt. Eng.

J. Yao, S.-M. Tan, and Y.-B. Liew, Opt. Eng. 41, 81 (2002).

S. Roy, H. H. Arsenault, and D. Lefebvre, Opt. Eng. 42, 813 (2003).

Proc. SPIE

J. Sun, W. Lu, Q. Li, and Q. Wang, Proc. SPIE 6027, 602731 (2006).

J. Sun, Q. Li, and Q. Wang, Proc. SPIE 5640, 434 (2005).

T. J. Green, Proc. SPIE 3070, 200 (1997).

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