Fast Large-Scale Hyperspectral Image Denoising via Noniterative Low-Rank Subspace Representation

Denoising of hyperspectral image (HSI) is challenging, especially when dealing with large-scale data. Model-based methods show promise in HSI denoising due to their good generalization, but they suffer from computational complexity due to complex priors [like nonlocal self-similarity (NSS)] and iterations, resulting in low efficiency for large-scale HSI processing. To address these challenges, we propose a fast large-scale HSI denoising (FallHyDe) method based on noniterative low-rank (LR) subspace representation to enjoy high denoising efficiency, effectiveness, and flexibility simultaneously. By leveraging the global spectral property of HSI, FallHyDe efficiently estimates spectral subspace and spatial representation coefficients (SRCs) from the observed noisy HSI, reducing computation complexity caused by the high spectral dimension during processing. In addition, we innovatively explore the presence of high signal-to-noise ratio bands (HSNRBs) in real HSI, enabling fast SRC estimation through a least squares problem without relying on complex priors and iterations. FallHyDe requires neither iteration nor parameter tuning, enabling our method to process large-scale HSI denoising quickly and flexibly. Experimental results on both simulated and real HSI datasets demonstrate that our proposed method not only achieves competitive results in quality but also speeds up the restoration by more than ten times than the representative fast HSI denoising methods. The code is available at https://chenyong1993.github.io/yongchen.github.io/ .