Abstract

A novel joint kernel principal component analysis (PCA) and relational perspective map (RPM) method called KPmapper is proposed for hyperspectral dimensionality reduction and spectral feature recognition. Kernel PCA is used to analyze hyperspectral data so that the major information corresponding to features can be better extracted. RPM is used to visualize hyperspectral data through two-dimensional (2D) maps, and it is an efficient approach to discover regularities and extract information by partitioning the data into pieces and mapping them onto a 2D space. The experimental results prove that the KPmapper algorithm can effectively obtain the intrinsic features in nonlinear high dimensional data. It is useful and impressing for dimensionality reduction and spectral feature recognition.

© 2010 Chinese Optics Letters

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2010 (3)

V. Zarzoso and P. Comon, IEEE Trans. Neural Networks 21, 248 (2010).

A. Amar, Y. Wang, and G. Leus, IEEE Signal Processing Lett. 17, 473 (2010).

L. Ma, M. M. Crawford, and J. W. Tian, Electron. Lett. 46, 497 (2010).

2009 (3)

X. Liu, H. Zhao, and N. Li, Acta Opt. Sin. (in Chinese) 3, 844 (2009).

G. He and L. Peng, Chinese J. Lasers (in Chinese) 36, 2983 (2009).

T. V. Bandos, L. Bruzzone, and G. Camps-Valls, IEEE Trans. Geosci. Remote Sens. 47, 862 (2009).

2008 (1)

2007 (2)

G. Chen and S.-E. Qian, J. Appl. Remote Sens. 1, 013509 (2007).

P. Du, H. Su, and W. Zhang, Proc. SPIE 6752, 675204 (2007).

2006 (2)

S. Lafon and A. B. Lee, IEEE Trans. Pattern Anal. and Machine Intell. 28, 1393 (2006).

R. Karbauskait_e, V. Marcinkevi·cus, and G. Dzemyda, Technological and Economic Development of Economy 12, 289 (2006).

2005 (1)

C. M. Bachmann, T. L. Ainsworth, and A. R. Fusina, IEEE Trans. Geosci. Remote Sens. 43, 441 (2005).

2004 (2)

J. X. Li, Information Visualization 3, 49 (2004).

Y. Du, C.-I. Chang, H. Ren, C.-C. Chang, J. O. Jensen, and F. M. D'Amico, Opt. Eng. 43, 1777 (2004).

2003 (1)

M. Belkin and P. Niyogi, Neural Computation 15, 1373 (2003).

2000 (2)

J. B. Tenenbaum, V. de Silva, and J. C. Langford, Science 290, 2319 (2000).

S. T. Roweis and L. K. Saul, Science 290, 2323 (2000).

1998 (1)

B. Scholkopf, A. Smola, and K.-R. Muller, Neural Computation 10, 1299 (1998).

1986 (1)

S. J. Ga®ey, American Mineralogist 71, 151 (1986).

1968 (1)

G. F. Hughes, IEEE Trans. Inf. Theory 14, 55 (1968).

Ainsworth, T. L.

C. M. Bachmann, T. L. Ainsworth, and A. R. Fusina, IEEE Trans. Geosci. Remote Sens. 43, 441 (2005).

Amar, A.

A. Amar, Y. Wang, and G. Leus, IEEE Signal Processing Lett. 17, 473 (2010).

Bachmann, C. M.

C. M. Bachmann, T. L. Ainsworth, and A. R. Fusina, IEEE Trans. Geosci. Remote Sens. 43, 441 (2005).

Bandos, T. V.

T. V. Bandos, L. Bruzzone, and G. Camps-Valls, IEEE Trans. Geosci. Remote Sens. 47, 862 (2009).

Belkin, M.

M. Belkin and P. Niyogi, Neural Computation 15, 1373 (2003).

Bruzzone, L.

T. V. Bandos, L. Bruzzone, and G. Camps-Valls, IEEE Trans. Geosci. Remote Sens. 47, 862 (2009).

Camps-Valls, G.

T. V. Bandos, L. Bruzzone, and G. Camps-Valls, IEEE Trans. Geosci. Remote Sens. 47, 862 (2009).

Chang, C.-C.

Y. Du, C.-I. Chang, H. Ren, C.-C. Chang, J. O. Jensen, and F. M. D'Amico, Opt. Eng. 43, 1777 (2004).

Chang, C.-I.

Y. Du, C.-I. Chang, H. Ren, C.-C. Chang, J. O. Jensen, and F. M. D'Amico, Opt. Eng. 43, 1777 (2004).

Chen, G.

G. Chen and S.-E. Qian, J. Appl. Remote Sens. 1, 013509 (2007).

Comon, P.

V. Zarzoso and P. Comon, IEEE Trans. Neural Networks 21, 248 (2010).

Crawford, M. M.

L. Ma, M. M. Crawford, and J. W. Tian, Electron. Lett. 46, 497 (2010).

D'Amico, F. M.

Y. Du, C.-I. Chang, H. Ren, C.-C. Chang, J. O. Jensen, and F. M. D'Amico, Opt. Eng. 43, 1777 (2004).

Du, P.

P. Du, H. Su, and W. Zhang, Proc. SPIE 6752, 675204 (2007).

Du, Y.

Y. Du, C.-I. Chang, H. Ren, C.-C. Chang, J. O. Jensen, and F. M. D'Amico, Opt. Eng. 43, 1777 (2004).

Dzemyda, G.

R. Karbauskait_e, V. Marcinkevi·cus, and G. Dzemyda, Technological and Economic Development of Economy 12, 289 (2006).

Fusina, A. R.

C. M. Bachmann, T. L. Ainsworth, and A. R. Fusina, IEEE Trans. Geosci. Remote Sens. 43, 441 (2005).

Ga®ey, S. J.

S. J. Ga®ey, American Mineralogist 71, 151 (1986).

He, G.

G. He and L. Peng, Chinese J. Lasers (in Chinese) 36, 2983 (2009).

Hughes, G. F.

G. F. Hughes, IEEE Trans. Inf. Theory 14, 55 (1968).

Jensen, J. O.

Y. Du, C.-I. Chang, H. Ren, C.-C. Chang, J. O. Jensen, and F. M. D'Amico, Opt. Eng. 43, 1777 (2004).

Karbauskait_e, R.

R. Karbauskait_e, V. Marcinkevi·cus, and G. Dzemyda, Technological and Economic Development of Economy 12, 289 (2006).

Lafon, S.

S. Lafon and A. B. Lee, IEEE Trans. Pattern Anal. and Machine Intell. 28, 1393 (2006).

Langford, J. C.

J. B. Tenenbaum, V. de Silva, and J. C. Langford, Science 290, 2319 (2000).

Lee, A. B.

S. Lafon and A. B. Lee, IEEE Trans. Pattern Anal. and Machine Intell. 28, 1393 (2006).

Leus, G.

A. Amar, Y. Wang, and G. Leus, IEEE Signal Processing Lett. 17, 473 (2010).

Li, J. X.

J. X. Li, Information Visualization 3, 49 (2004).

Li, N.

X. Liu, H. Zhao, and N. Li, Acta Opt. Sin. (in Chinese) 3, 844 (2009).

Liu, X.

X. Liu, H. Zhao, and N. Li, Acta Opt. Sin. (in Chinese) 3, 844 (2009).

Ma, L.

L. Ma, M. M. Crawford, and J. W. Tian, Electron. Lett. 46, 497 (2010).

Marcinkevi·cus, V.

R. Karbauskait_e, V. Marcinkevi·cus, and G. Dzemyda, Technological and Economic Development of Economy 12, 289 (2006).

Miao, Q.

Muller, K.-R.

B. Scholkopf, A. Smola, and K.-R. Muller, Neural Computation 10, 1299 (1998).

Niyogi, P.

M. Belkin and P. Niyogi, Neural Computation 15, 1373 (2003).

Peng, L.

G. He and L. Peng, Chinese J. Lasers (in Chinese) 36, 2983 (2009).

Qian, S.-E.

G. Chen and S.-E. Qian, J. Appl. Remote Sens. 1, 013509 (2007).

Ren, H.

Y. Du, C.-I. Chang, H. Ren, C.-C. Chang, J. O. Jensen, and F. M. D'Amico, Opt. Eng. 43, 1777 (2004).

Roweis, S. T.

S. T. Roweis and L. K. Saul, Science 290, 2323 (2000).

Saul, L. K.

S. T. Roweis and L. K. Saul, Science 290, 2323 (2000).

Scholkopf, B.

B. Scholkopf, A. Smola, and K.-R. Muller, Neural Computation 10, 1299 (1998).

Silva, V. de

J. B. Tenenbaum, V. de Silva, and J. C. Langford, Science 290, 2319 (2000).

Smola, A.

B. Scholkopf, A. Smola, and K.-R. Muller, Neural Computation 10, 1299 (1998).

Su, H.

P. Du, H. Su, and W. Zhang, Proc. SPIE 6752, 675204 (2007).

Tenenbaum, J. B.

J. B. Tenenbaum, V. de Silva, and J. C. Langford, Science 290, 2319 (2000).

Tian, J. W.

L. Ma, M. M. Crawford, and J. W. Tian, Electron. Lett. 46, 497 (2010).

Wang, B.

Wang, Y.

A. Amar, Y. Wang, and G. Leus, IEEE Signal Processing Lett. 17, 473 (2010).

Zarzoso, V.

V. Zarzoso and P. Comon, IEEE Trans. Neural Networks 21, 248 (2010).

Zhang, W.

P. Du, H. Su, and W. Zhang, Proc. SPIE 6752, 675204 (2007).

Zhao, H.

X. Liu, H. Zhao, and N. Li, Acta Opt. Sin. (in Chinese) 3, 844 (2009).

Acta Opt. Sin. (in Chinese) (1)

X. Liu, H. Zhao, and N. Li, Acta Opt. Sin. (in Chinese) 3, 844 (2009).

American Mineralogist (1)

S. J. Ga®ey, American Mineralogist 71, 151 (1986).

Chin. Opt. Lett. (1)

Chinese J. Lasers (in Chinese) (1)

G. He and L. Peng, Chinese J. Lasers (in Chinese) 36, 2983 (2009).

Electron. Lett. (1)

L. Ma, M. M. Crawford, and J. W. Tian, Electron. Lett. 46, 497 (2010).

IEEE Signal Processing Lett. (1)

A. Amar, Y. Wang, and G. Leus, IEEE Signal Processing Lett. 17, 473 (2010).

IEEE Trans. Geosci. Remote Sens. (2)

C. M. Bachmann, T. L. Ainsworth, and A. R. Fusina, IEEE Trans. Geosci. Remote Sens. 43, 441 (2005).

T. V. Bandos, L. Bruzzone, and G. Camps-Valls, IEEE Trans. Geosci. Remote Sens. 47, 862 (2009).

IEEE Trans. Inf. Theory (1)

G. F. Hughes, IEEE Trans. Inf. Theory 14, 55 (1968).

IEEE Trans. Neural Networks (1)

V. Zarzoso and P. Comon, IEEE Trans. Neural Networks 21, 248 (2010).

IEEE Trans. Pattern Anal. and Machine Intell. (1)

S. Lafon and A. B. Lee, IEEE Trans. Pattern Anal. and Machine Intell. 28, 1393 (2006).

Information Visualization (1)

J. X. Li, Information Visualization 3, 49 (2004).

J. Appl. Remote Sens. (1)

G. Chen and S.-E. Qian, J. Appl. Remote Sens. 1, 013509 (2007).

Neural Computation (2)

M. Belkin and P. Niyogi, Neural Computation 15, 1373 (2003).

B. Scholkopf, A. Smola, and K.-R. Muller, Neural Computation 10, 1299 (1998).

Opt. Eng. (1)

Y. Du, C.-I. Chang, H. Ren, C.-C. Chang, J. O. Jensen, and F. M. D'Amico, Opt. Eng. 43, 1777 (2004).

Proc. SPIE (1)

P. Du, H. Su, and W. Zhang, Proc. SPIE 6752, 675204 (2007).

Science (2)

J. B. Tenenbaum, V. de Silva, and J. C. Langford, Science 290, 2319 (2000).

S. T. Roweis and L. K. Saul, Science 290, 2323 (2000).

Technological and Economic Development of Economy (1)

R. Karbauskait_e, V. Marcinkevi·cus, and G. Dzemyda, Technological and Economic Development of Economy 12, 289 (2006).

Other (2)

C.-I. Chang (ed.), Hyperspectral Data Exploitation: Theory and Applications (Wiley, Hoboken, 2007).

H. Su, Y. Sheng, and P. Du, in Proceedings of the ISPRS 7, 279 (2008).

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