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The von Kries hypothesis and a basis for color constancy

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2007

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Institute of Electrical and Electronics Engineers (IEEE)
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Chong, Hamilton, Steven J. Gortler, and Todd Zickler. 2007. The von Kries hypothesis and a basis for color constancy. In 
Proceedings of the 11th IEEE International Conference on Computer Vision, October 14-21, Rio de Janeiro, Brazil, ed. IEEE International Conference on Computer Vision, 1-18. Piscataway, N.J.: IEEE.

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Abstract

Color constancy is almost exclusively modeled with diagonal transforms. However, the choice of basis under which diagonal transforms are taken is traditionally ad hoc. Attempts to remedy the situation have been hindered by the fact that no joint characterization of the conditions for {sensors, illuminants, reflectances} to support diagonal color constancy has previously been achieved. In this work, we observe that the von Kries compatibility conditions are impositions only on the sensor measurements, not the physical spectra. This allows us to formulate the von Kries compatibility conditions succinctly as rank constraints on an order 3 measurement tensor. Given this, we propose an algorithm that computes a (locally) optimal choice of color basis for diagonal color constancy and compare the results against other proposed choices.

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