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Proceedings Article

Convex reduction of calibration charts

[+] Author Affiliations
Ali Alsam, Jon Y. Hardeberg

Gjovik Univ. College (Norway)

Proc. SPIE 5667, Color Imaging X: Processing, Hardcopy, and Applications, 38 (January 28, 2005); doi:10.1117/12.586304
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From Conference Volume 5667

  • Color Imaging X: Processing, Hardcopy, and Applications
  • Reiner Eschbach; Gabriel G. Marcu
  • San Jose, CA | January 17, 2005

abstract

Calibration targets are widely used to characterize imaging devices and estimate optimal profiles to map the response of one device to the space of another. The question addressed in this paper is that of how many surfaces in a calibration target are needed to account for the whole target perfectly. To accurately answer this question we first note that the reflectance spectra space is closed and convex. Hence the extreme points of the convexhull of the data encloses the whole target. It is thus sufficient to use the extreme points to represent the whole set. Further, we introduce a volume projection algorithm to reduce the extremes to a user defined number of surfaces such that the remaining surfaces are more important, i.e. account for a larger number of surfaces, than the rest. When testing our algorithm using the Munsell book of colors of 1269 reflectances we found that as few as 110 surfaces were sufficient to account for the rest of the data and as few as 3 surfaces accounted for 86% of the volume of the whole set.

© (2005) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

Ali Alsam and Jon Y. Hardeberg
"Convex reduction of calibration charts", Proc. SPIE 5667, Color Imaging X: Processing, Hardcopy, and Applications, 38 (January 28, 2005); doi:10.1117/12.586304; http://dx.doi.org/10.1117/12.586304


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