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Dimming the backlight of a liquid crystal display (LCD) reduces the dynamic range and intensity of a displayed image and hence has a profound impact on the perceived image quality. To reflect the actual degradation of image quality perceived by human eye, we take visibility in addition to contrast into account and develop a visibility model for image quality assessment. The proposed visibility model also considers factors related to the display and the ambient light to accommodate the viewing condition. Experimental results are shown to demonstrate the performance of the proposed model.