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We present a framework for developing a color transformation between two display devices to achieve a desired perceptual match. The framework is realized by first developing an optimal color transformation between the two devices, and then formulating an optimization problem to develop a hardware resource-constrained approximation to the optimal transformation. We employ the framework to investigate how well the system performs when the transformation is constrained to be a single 3Ã3 linear transformation directly between the non-linear RGB spaces of two devices. The motivation for this constraint is to ease resource requirements in a real-time hardware implementation.