HIR-Diff: Unsupervised Hyperspectral Image Restoration Via Improved Diffusion Models
Authors: Li Pang, Xiangyu Rui, Long Cui, Hongzhong Wang, Deyu Meng, Xiangyong Cao

Hyperspectral image (HSI) restoration aims at recovering clean images from degraded observations and plays a vital role in downstream tasks. Existing model-based methods have limitations in accurately modeling the complex image characteristics with handcraft priors and deep learning-based methods suffer from poor generalization ability. To alleviate these issues this paper proposes an unsupervised HSI restoration framework with pre-trained diffusion model (HIR-Diff) which restores the clean HSIs from the product of two low-rank components i.e. the reduced image and the coefficient matrix. Specifically the reduced image which has a low spectral dimension lies in the image field and can be inferred from our improved diffusion model where a new guidance function with total variation (TV) prior is designed to ensure that the reduced image can be well sampled. The coefficient matrix can be effectively pre-estimated based on singular value decomposition (SVD) and rank-revealing QR (RRQR) factorization. Furthermore a novel exponential noise schedule is proposed to accelerate the restoration process (about 5xacceleration for denoising) with little performance decrease. Extensive experimental results validate the superiority of our method in both performance and speed on a variety of HSI restoration tasks including HSI denoising noisy HSI super-resolution and noisy HSI inpainting. The code is available at https://github.com/LiPang/HIRDiff.