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Proceedings Paper

Continued fractions, diophantine approximations, and design of color transforms
Author(s): Yuriy A. Reznik
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Paper Abstract

We study a problem of approximate computation of color transforms (with real and possibly irrational factors) using integer arithmetics. We show that precision of such computations can be significantly improved if we allow input or output variables to be scaled by some constant. The problem of finding such a constant turns out to be related to the classic Diophantine approximation problem. We use this relation to explain how best scaled approximations can be derived, and provide several examples of using this technique for design of color transforms.

Paper Details

Date Published: 13 September 2008
PDF: 11 pages
Proc. SPIE 7073, Applications of Digital Image Processing XXXI, 707309 (13 September 2008); doi: 10.1117/12.797245
Show Author Affiliations
Yuriy A. Reznik, Qualcomm Inc. (United States)

Published in SPIE Proceedings Vol. 7073:
Applications of Digital Image Processing XXXI
Andrew G. Tescher, Editor(s)

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