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Fast Hyperspectral Image Denoising and Inpainting Based on Low-Rank and Sparse Representations

arXiv 2103.06842 ↗First posted 11 Mar 2021eess.IV cs.CVcited by 39

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Abstract (arXiv)

This paper introduces two very fast and competitive hyperspectral image (HSI) restoration algorithms: fast hyperspectral denoising (FastHyDe), a denoising algorithm able to cope with Gaussian and Poissonian noise, and fast hyperspectral inpainting (FastHyIn), an inpainting algorithm to restore HSIs where some observations from known pixels in some known bands are missing. FastHyDe and FastHyIn fully exploit extremely compact and sparse HSI representations linked with their low-rank and self-similarity characteristics. In a series of experiments with simulated and real data, the newly introduced FastHyDe and FastHyIn compete with the state-of-the-art methods, with much lower computational complexity.

Key facts. Cited by 39 papers in the map (data through 14 Oct 2026). Builds on 1 of its 54 references that are in the map. First posted on arXiv 11 Mar 2021.

Builds on

1 of 54 references.

References · 1

  1. 2017Blind image deblurring using class-adapted image priorscited by 4

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2021: 5; 2022: 9; 2023: 11; 2024: 6; 2025: 3; 2026: 5.

39 papers.

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  1. 2022Spatial-Spectral Transformer for Hyperspectral Image Denoisingcited by 34
  2. 2022Deep Plug-and-Play Prior for Hyperspectral Image Restorationcited by 22
  3. 2023Unsupervised Hyperspectral Pansharpening via Low-rank Diffusion Modelcited by 20
  4. 2024SSUMamba: Spatial-Spectral Selective State Space Model for Hyperspectral Image Denoisingcited by 20
  5. 2021FastHyMix: Fast and Parameter-free Hyperspectral Image Mixed Noise Removalcited by 19
  6. 2022Fast Noise Removal in Hyperspectral Images via Representative Coefficient Total Variationcited by 14
  7. 2024Hyperspectral and multispectral image fusion with arbitrary resolution through self-supervised representationscited by 8
  8. 2021Hyperspectral Image Denoising and Anomaly Detection Based on Low-rank and Sparse Representationscited by 7
  9. 2023A Comparison of Image Denoising Methodscited by 7
  10. 2024PromptHSI: Universal Hyperspectral Image Restoration with Vision-Language Modulated Frequency Adaptationcited by 7
  11. 2023Hyperspectral Image Denoising via Spatial-Spectral Recurrent Transformercited by 6
  12. 2022Hyperspectral Image Denoising Using Non-convex Local Low-rank and Sparse Separation with Spatial-Spectral Total Variation Regularizationcited by 5
27 more
  1. 2023Degradation-Noise-Aware Deep Unfolding Transformer for Hyperspectral Image Denoisingcited by 5
  2. 2022Connections between Deep Equilibrium and Sparse Representation Models with Application to Hyperspectral Image Denoisingcited by 4
  3. 2023Multi-scale Adaptive Fusion Network for Hyperspectral Image Denoisingcited by 4
  4. 2026HADAR-Based Thermal Infrared Hyperspectral Image Restorationcited by 4
  5. 2022HyDe: The First Open-Source, Python-Based, GPU-Accelerated Hyperspectral Denoising Packagecited by 3
  6. 2024Real-Time Compressed Sensing for Joint Hyperspectral Image Transmission and Restoration for CubeSatcited by 3
  7. 2022Bayesian Robust Tensor Ring Model for Incomplete Multiway Datacited by 2
  8. 2022Beam-Shape Effects and Noise Removal from THz Time-Domain Images in Reflection Geometry in the 0.25-6 THz Rangecited by 2
  9. 2024EigenSR: Eigenimage-Bridged Pre-Trained RGB Learners for Single Hyperspectral Image Super-Resolutioncited by 2
  10. 2022Mixture-Net: Low-Rank Deep Image Prior Inspired by Mixture Models for Spectral Image Recoverycited by 1
  11. 2023Self-Supervised Hyperspectral Inpainting with the Optimisation inspired Deep Neural Network Priorcited by 1
  12. 2023Self-supervised Deep Hyperspectral Inpainting with the Sparsity and Low-Rank Considerationscited by 1
  13. 2025Self-supervised Deep Hyperspectral Inpainting with the Plug and Play and Deep Image Prior Modelscited by 1
  14. 2025LRDUN: A Low-Rank Deep Unfolding Network for Efficient Spectral Compressive Imagingcited by 1
  15. 2026Scalable neural pushbroom architectures for real-time denoising of hyperspectral images onboard satellitescited by 1
  16. 2026SHARE: A Fully Unsupervised Framework for Single Hyperspectral Image Restorationcited by 1
  17. 2026TeX-1500: A Paired Real-World LWIR Hyperspectral Dataset and Benchmark for Temperature-Emissivity-Texture Decompositioncited by 1
  18. 2021Multi-modal and frequency-weighted tensor nuclear norm for hyperspectral image denoisingcited by 0
  19. 2021Hyperspectral Mixed Noise Removal via Subspace Representation and Weighted Low-rank Tensor Regularizationcited by 0
  20. 2021Dictionary-based Low-Rank Approximations and the Mixed Sparse Coding problemcited by 0
  21. 2023Blind deblurring of hyperspectral document imagescited by 0
  22. 2023Guided Deep Generative Model-based Spatial Regularization for Multiband Imaging Inverse Problemscited by 0
  23. 2023HIDFlowNet: A Flow-Based Deep Network for Hyperspectral Image Denoisingcited by 0
  24. 2023Hyperspectral Image Denoising via Self-Modulating Convolutional Neural Networkscited by 0
  25. 2024Beyond the Visible: Jointly Attending to Spectral and Spatial Dimensions with HSI-Diffusion for the FINCH Spacecraftcited by 0
  26. 2025Equal is Not Always Fair: A New Perspective on Hyperspectral Representation Non-Uniformitycited by 0
  27. 2026Spatial-Spectral Adaptive Fidelity and Noise Prior Reduction Guided Hyperspectral Image Denoisingcited by 0