Estimating SSIM from MSE for DCT-Based Compressed Images
This work addresses the challenge of accurately estimating the perceptual quality of DCT-compressed images, such as JPEG, using only global mean squared error (MSE) and original image statistics. Existing approaches struggle to effectively approximate the Structural Similarity Index (SSIM) under these constraints. The paper proposes a novel method that redistributes global MSE into local MSE estimates by leveraging the reference image’s local variance or standard deviation, thereby enabling accurate SSIM approximation without requiring ground-truth local error maps. Grounded in the characteristics of DCT-domain compression, the approach naturally extends to video applications. Experimental results on the Kodak and Xiph Subset1 datasets demonstrate that the proposed method significantly outperforms the global MSE baseline across a wide range of JPEG quality levels, achieving both high accuracy and robustness in SSIM estimation.