Spectral Compression: Weighted Principal Component Analysis versus Weighted Least Squares

Resource type
Date created
2014-02
Authors/Contributors
Abstract
Two weighted compression schemes, Weighted Least Squares (wLS) and Weighted Principal Component Analysis (wPCA), are compared by considering their performance in minimizing both spectral and colorimetric errors of reconstructed reflectance spectra. A comparison is also made among seven different weighting functions incorporated into ordinary PCA/LS to give selectively more importance to the wavelengths that correspond to higher sensitivity in the human visual system. Weighted compression is performed on reflectance spectra of 3219 colored samples (including Munsell and NCS data) and spectral and colorimetric errors are calculated in terms of CIEDE2000 and root mean square errors. The results obtained indicate that wLS outperforms wPCA in weighted compression with more than three basis vectors. Weighting functions based on the diagonal of Cohen’s R matrix lead to the best reproduction of color information under both A and D65 illuminants particularly when using a low number of basis vectors.
Document
Description
Presented at the IS&T International Symposium on Electronic Imaging 2014, Human Vision and Electronic Imaging 2014 Conference.
Published as
Agahian, F., Funt, B., and Amirshahi, S.H. "Spectral Compression: Weighted Principal Component Analysis versus Weighted Least Squares," Proc. Human Vision and Electronic Imaging XIX, IS&T/SPIE Electronic Imaging, Feb. 2014
Publication title
Proc. Human Vision and Electronic Imaging XIX, IS & T/SPIE Electronic Imaging
Document title
Spectral Compression: Weighted Principal Component Analysis versus Weighted Least Squares
Date
2014
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Copyright is held by the author(s).
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Peer reviewed?
Yes
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