Color correction using root-polynomial regression

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Graham D FinlaysonAnya Hurlbert

Abstract

Cameras record three color responses (RGB) which are device dependent. Camera coordinates are mapped to a standard color space, such as XYZ-useful for color measurement-by a mapping function, e.g., the simple 3×3 linear transform (usually derived through regression). This mapping, which we will refer to as linear color correction (LCC), has been demonstrated to work well in the number of studies. However, it can map [Formula: see text] to XYZs with high error. The advantage of the LCC is that it is independent of camera exposure. An alternative and potentially more powerful method for color correction is polynomial color correction (PCC). Here, the R, G, and B values at a pixel are extended by the polynomial terms. For a given calibration training set PCC can significantly reduce the colorimetric error. However, the PCC fit depends on exposure, i.e., as exposure changes the vector of polynomial components is altered in a nonlinear way which results in hue and saturation shifts. This paper proposes a new polynomial-type regression loosely related to the idea of fractional polynomials which we call root-PCC (RPCC). Our idea is to take each term in a polynomial expansion and take its k th root of each k -degree term. It is easy to...Continue Reading

References

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Jul 1, 1997·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·D H Brainard, W T Freeman
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May 31, 2012·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Eric GarciaMaya R Gupta

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Citations

Jul 15, 2016·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Casper Find Andersen, David Connah
Oct 27, 2017·Sensors·Marco GaianiFabio Remondino
Nov 20, 2016·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Michal MackiewiczGraham Finlayson
Apr 1, 2018·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Ali Alsam, Hans Jakob Rivertz
May 15, 2020·Optics Express·Wonseok ChoiChong-Min Kyung
Sep 13, 2019·Optics Express·Shao-Bing GaoYong-Jie Li
Mar 28, 2020·PloS One·Miranda NixonTerence S Leung
Aug 17, 2020·Sensors·Axel ClouetDavid Alleysson

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