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Proceedings Paper

A color quantization algorithm based on minimization of modified Lp norm error in a CIELAB space
Author(s): Haitao Xue; Peter Bauer; Dejan Depalov; Brent Bradburn; Jan P. Allebach; Charles A. Bouman
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Paper Abstract

Color quantization algorithms are used to select a small number of colors that can accurately represent the content of a particular image. In this research, we introduce a novel color quantization algorithm which is based on the minimization of a modified Lp norm rather than the more traditional L2 norm associated with mean square error (MSE). We demonstrate that the Lp optimization approach has two advantages. First, it distributes the colors more uniformly over the regions of the image; and second, the norm's value can be used as an effective criterion for selecting the minimum number of colors necessary to achieve accurate representation of the image. One potential disadvantage of the modified Lp norm criteria is that it could increase the computation of the associated clustering methods. However, we solve this problem by introducing a two stage clustering procedure in which the first stage (pre-clustering) agglomerates the full set of pixels into a relatively large number of discrete colors; and the second stage (post-clustering) performs modified Lp norm minimization using the reduced number of discrete colors resulting from the pre-clustering step. The number of groups used in the post-clustering is then chosen to be the smallest number that achieves a selected threshold value of the normalized Lp norm. This two-stage clustering process dramatically reduces computation by merging together colors before the computationally expensive modified Lp norm minimization is applied.

Paper Details

Date Published: 24 January 2012
PDF: 14 pages
Proc. SPIE 8292, Color Imaging XVII: Displaying, Processing, Hardcopy, and Applications, 82920O (24 January 2012); doi: 10.1117/12.912146
Show Author Affiliations
Haitao Xue, Purdue Univ. (United States)
Peter Bauer, Hewlett-Packard Co. (United States)
Dejan Depalov, Hewlett-Packard Co. (United States)
Brent Bradburn, Hewlett-Packard Co. (United States)
Jan P. Allebach, Purdue Univ. (United States)
Charles A. Bouman, Purdue Univ. (United States)

Published in SPIE Proceedings Vol. 8292:
Color Imaging XVII: Displaying, Processing, Hardcopy, and Applications
Reiner Eschbach; Gabriel G. Marcu; Alessandro Rizzi, Editor(s)

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