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Calibrating color cameras using metameric blacks
Gjøvik University College, Norway.
Linköping University, Department of Science and Technology, Digital Media. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-7557-4904
2007 (English)In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, ISSN 1084-7529, Vol. 24, no 1, 11-17 p.Article in journal (Refereed) Published
Abstract [en]

Spectral calibration of digital cameras based on the spectral data of commercially available calibration charts is an ill-conditioned problem that has an infinite number of solutions. We introduce a method to estimate the sensor's spectral sensitivity function based on metamers. For a given patch on the calibration chart we construct numerical metamers by computing convex linear combinations of spectra from calibration chips with lower and higher sensor response values. The difference between the measured reflectance spectrum and the numerical metamer lies in the null space of the sensor. For each measured spectrum we use this procedure to compute a collection of color signals that lie in the null space of the sensor. For a collection of such spaces we compute the robust principal components, and we obtain an estimate of the sensor by computing the common null space spanned by these vectors. Our approach has a number of advantages over standard techniques: It is robust to outliers and is not dominated by larger response values, and it offers the ability to evaluate the goodness of the solution where it is possible to show that the solution is optimal, given the data, if the calculated range is one dimensional. © 2006 Optical Society of America.

Place, publisher, year, edition, pages
2007. Vol. 24, no 1, 11-17 p.
Keyword [en]
Image processing : Inverse problems
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-36172DOI: 10.1364/JOSAA.24.000011Local ID: 30345OAI: diva2:257020
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2016-08-31

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Lenz, Reiner
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