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A set of three fixed basis functions is proposed for the linear projection of hyperspectral images into a set of three images that can be displayed on the red, green, and blue channels of a standard display. The proposed basis functions were designed to meet specific criteria for maximizing interpretability of the visualization and correspondence of the perceived visualization to the original hyperspectral data. The constraints of the standardized display-device colorspace sRGB were taken into account, and the design was optimized using the perceptual colorspace CIELab. This work improves upon a previous fixed basis function method, the stretched CMF basis functions. A method for taking into account the different SNR of each frequency band is also proposed. Example visualizations are shown for AVIRIS hyperspectral imagery.