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Proceedings Paper

Gamut boundaries expressed with Zernike polynomials
Author(s): Qingmei Huang; Dazun Zhao
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Paper Abstract

In cross-media color image reproduction, gamut mapping is needed due to gamut difference among different media. In order to implement gamut mapping, gamut boundaries of each medium involved should be first determined. It may be expected that an analytical expression for a boundary is preferred than a set of discrete data , since it would take less storage space and make the determination of the intersection point between a boundary and a "mapping line" easier and faster. In this article, a form of Zernike polynomial expression is suggested to be used as the expression of gamut boundary surface. For instance, if C1E1976L*a*b* is adopted as the color space for gamut mapping, then each color(point) on the boundary can be expressed as L*=L*(a*,b) and the boundary can be expanded into a series of Zernike polynomials with an appropriate coefficient for each of which. These coefficients can be obtained with sufficient experimental data of boundary points and existing algorithms. Experiments have been executed for a color printer with(R,G,B) as its input. The 6 boundaries in RGB space would consist of (0,G,B),(R,0,B),(R,G,0),(255,G,B),(R,255,B) and (R,G,255) where each of R,G,B varies from 0 to 255. Then 6 corresponding sets of Zernike coefficients are calculated, based on about half of the measured L*a*b*'s for each boundary. A comparison between original measured data and the data predicted by Zernike polynomials shows that, not only for the data that have been used to calculate the coefficients, but also for those not used, the differences are acceptably small even negligible with only a few exceptions.

Paper Details

Date Published: 13 September 2002
PDF: 6 pages
Proc. SPIE 4922, Color Science and Imaging Technologies, (13 September 2002); doi: 10.1117/12.483131
Show Author Affiliations
Qingmei Huang, Beijing Institute of Technology (China)
Dazun Zhao, Beijing Institute of Technology (China)

Published in SPIE Proceedings Vol. 4922:
Color Science and Imaging Technologies
Dazun Zhao; Ming Ronnier Luo; Kiyoharu Aizawa, Editor(s)

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