SSIM image quality metric for denoised images

Abstract

The mean square error (MSE) and its related metrics such as peak signal to noise ratio (PSNR), root mean square error (RMSE), mean absolute error (MAE), and signal to noise ratio (SNR) have been the basis for mathematically defined image quality measurement for a long time. These methods are all based on the MSE. Denoisng quality has also been traditionally measured in terms of the MSE or its derivatives. But none of these metrics takes the structural fidelity of the image into account. Here, we investigate the structural changes that occur during the denoising process. In particular, we ascertain the structural fidelity of TV-denoised images.