Abstract

Because of the limited approximation capability of using fixed basis functions, the performance of reflectance estimation obtained by traditional linear models will not be optimal. We propose an approach based on the regularized local linear model. Our approach performs efficiently and knowledge of the spectral power distribution of the illuminant and the spectral sensitivities of the camera is not needed. Experimental results show that the proposed method performs better than some well-known methods in terms of both reflectance error and colorimetric error.

© 2011 Optical Society of America

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References

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    [CrossRef]

2009 (1)

S. Lansel, M. Parmar, and B. A. Wandell, Proc. SPIE 7246, 72460D (2009).
[CrossRef]

2008 (2)

2007 (3)

2002 (1)

K. Barnard, L. Martin, B. Funt, and A. Coath, Color Res. Appl. 27, 147 (2002).
[CrossRef]

Barnard, K.

K. Barnard, L. Martin, B. Funt, and A. Coath, Color Res. Appl. 27, 147 (2002).
[CrossRef]

Coath, A.

K. Barnard, L. Martin, B. Funt, and A. Coath, Color Res. Appl. 27, 147 (2002).
[CrossRef]

Dai, D.-Q.

Funt, B.

K. Barnard, L. Martin, B. Funt, and A. Coath, Color Res. Appl. 27, 147 (2002).
[CrossRef]

Hauta-Kasari, M.

Heikkinen, V.

Hironaga, M.

Jaaskelainen, T.

Jetsu, T.

Lai, J.-H.

W.-S. Zheng and J.-H. Lai, in Proceedings of the 18th International Conference on Pattern Recognition (2006), Vol.  2, pp. 456–459.

Lansel, S.

S. Lansel, M. Parmar, and B. A. Wandell, Proc. SPIE 7246, 72460D (2009).
[CrossRef]

Lee, S. D.

Martin, L.

K. Barnard, L. Martin, B. Funt, and A. Coath, Color Res. Appl. 27, 147 (2002).
[CrossRef]

Parkkinen, J.

Parmar, M.

S. Lansel, M. Parmar, and B. A. Wandell, Proc. SPIE 7246, 72460D (2009).
[CrossRef]

Shen, H. L.

Shimano, N.

Terai, K.

Wandell, B. A.

S. Lansel, M. Parmar, and B. A. Wandell, Proc. SPIE 7246, 72460D (2009).
[CrossRef]

Xin, J. H.

Xu, H.

Zhang, W.-F.

Zhang, X.

Zheng, W.-S.

W.-S. Zheng and J.-H. Lai, in Proceedings of the 18th International Conference on Pattern Recognition (2006), Vol.  2, pp. 456–459.

Color Res. Appl. (1)

K. Barnard, L. Martin, B. Funt, and A. Coath, Color Res. Appl. 27, 147 (2002).
[CrossRef]

J. Opt. Soc. Am. A (4)

Opt. Lett. (1)

Proc. SPIE (1)

S. Lansel, M. Parmar, and B. A. Wandell, Proc. SPIE 7246, 72460D (2009).
[CrossRef]

Other (2)

W.-S. Zheng and J.-H. Lai, in Proceedings of the 18th International Conference on Pattern Recognition (2006), Vol.  2, pp. 456–459.

Spectral database, University of Joensuu Color Group, http://spectral.joensuu.fi/.

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Tables (2)

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Table 1 Summary of Datasets

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Table 2 Estimation Errors of Different Methods on the Validation Set a

Equations (9)

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x = SLr + e ,
x = Mr + e ,
r ^ = K r M T ( M K r M T + K e ) 1 x ,
r ^ = Bw ,
r ^ i = f i ( x ) , i = 1 , , n ,
r = Σ i = 1 k w i r i ,
x Σ i = 1 k w i x i .
arg min w x i = 1 k w i x i 2 + λ w 2 ,
w = ( X T X + λ I ) 1 X T x ,

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