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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editor: Gregory W. Faris
  • Vol. 2, Iss. 7 — Jul. 16, 2007

Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement

Philipp Urban, Mitchell R. Rosen, Roy S. Berns, and Dierk Schleicher  »View Author Affiliations


JOSA A, Vol. 24, Issue 6, pp. 1516-1528 (2007)
http://dx.doi.org/10.1364/JOSAA.24.001516


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Abstract

Isometric embedding of non-Euclidean color spaces into Euclidean color spaces is investigated. Owing to regions of nonzero Gaussian curvature within common non-Euclidean color spaces, we focus on the determination of transformations into Euclidean spaces with minimal isometric disagreement. A computational method is presented for deriving such a color space transformation by means of a multigrid optimization, resulting in a simple color look-up table. The multigrid optimization is applied on the CIELAB space with the CMC, CIE94, and CIEDE2000 formulas. The mean disagreement between distances calculated by these formulas and Euclidean distances within the new spaces is far below 3% for all investigated color difference formulas. Color space transformations containing the inverse transformations are provided as MATLAB scripts at the first author’s website.

© 2007 Optical Society of America

OCIS Codes
(330.0330) Vision, color, and visual optics : Vision, color, and visual optics
(330.1730) Vision, color, and visual optics : Colorimetry

ToC Category:
Vision and Color

History
Original Manuscript: October 31, 2006
Revised Manuscript: January 22, 2007
Manuscript Accepted: January 23, 2007
Published: May 9, 2007

Virtual Issues
Vol. 2, Iss. 7 Virtual Journal for Biomedical Optics

Citation
Philipp Urban, Mitchell R. Rosen, Roy S. Berns, and Dierk Schleicher, "Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement," J. Opt. Soc. Am. A 24, 1516-1528 (2007)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-24-6-1516


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