A perceptually relevant shearlet-based adaptation of the PSNR

Although being one of the simplest and most widely used image quality metrics (IQMs) the peak signal-to-noise ratio (PSNR) correlates only poorly with visual quality as perceived by humans. Based on an analysis of the non-linear mapping from PSNR to mean opinion scores (MOS) we identify a functional mapping parameter to adapt the PSNR perceptually meaningful. Neurophysiologically motivated, a shearlet-based correction is proposed for controlling this perceptual PSNR adaption. The performance of the proposed perceptually adapted PSNR is evaluated on the LIVE and TID2013 databases and shows to be superior or comparable to benchmark IQMs.