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A Color Constancy Model for Non-uniform Illumination based on Correlation matrix

Authors:
Takashi Toriu
Mikiya Hironaga
Hiroshi Kamada
Thi Thi Zin

Keywords: Color constancy; correlation matrix; non-uniform illumination; gray-world assumption; correlation between brightness and color.

Abstract:
In this paper, we propose a novel color constancy model that works well even if illumination is not uniformly distributed. For this purpose, we introduce the positionally modified color correlation matrix. The color correlation matrix is a matrix that represents how different colors are correlated with one another. More concretely, the color correlation matrix is obtained as the spatial average of the product of two colors as <IiIj>, and consequently, it is independent of position parameters. In addition to this correlation matrix, we define two position dependent correlation matrices as <xIiIj> and <yIiIj>. We assume that the eigenvector of the correlation matrix corresponding to the largest eigenvalue presents the color gray when the illumination is parallel and white. Under this assumption, we can estimate the image when the illumination is parallel and white. The effectiveness of the proposed method is confirmed by simulation experiments using synthesized images and real images.

Pages: 40 to 46

Copyright: Copyright (c) IARIA, 2015

Publication date: October 11, 2015

Published in: conference

ISSN: 2308-4529

ISBN: 978-1-61208-432-9

Location: St. Julians, Malta

Dates: from October 11, 2015 to October 16, 2015