A linear system form solution to compute the local space average color

Authors:
Joaquin Salas;Carlo Tomasi
Affiliations:
Instituto Politecnico Nacional, Colinas del Cimatario, Mexico 76090;Department of Computer Science, Duke University, Durham, USA 27708-0129
Venue:
Machine Vision and Applications
Year:
2013

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Abstract

In this document, we present an alternative to the method introduced by Ebner (Pattern Recognit 60---67, 2003; J Parallel Distrib Comput 64(1):79---88, 2004; Color constancy using local color shifts, pp 276---287, 2004; Color Constancy, 2007; Mach Vis Appl 20(5):283---301, 2009) for computing the local space average color. We show that when the problem is framed as a linear system and the resulting series is solved, there is a solution based on LU decomposition that reduces the computing time by at least an order of magnitude.