A Trainable Spectral-Spatial Sparse Coding Model for Hyperspectral Image Restoration
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Abstract (arXiv)
Hyperspectral imaging offers new perspectives for diverse applications, ranging from the monitoring of the environment using airborne or satellite remote sensing, precision farming, food safety, planetary exploration, or astrophysics. Unfortunately, the spectral diversity of information comes at the expense of various sources of degradation, and the lack of accurate ground-truth "clean" hyperspectral signals acquired on the spot makes restoration tasks challenging. In particular, training deep neural networks for restoration is difficult, in contrast to traditional RGB imaging problems where deep models tend to shine. In this paper, we advocate instead for a hybrid approach based on sparse coding principles that retains the interpretability of classical techniques encoding domain knowledge with handcrafted image priors, while allowing to train model parameters end-to-end without massive amounts of data. We show on various denoising benchmarks that our method is computationally efficient and significantly outperforms the state of the art.
Key facts. Cited by 34 papers in the map (data through 14 Oct 2026). Builds on 13 of its 76 references that are in the map. First posted on arXiv 18 Nov 2021.
Builds on
13 of 76 references.
References · 13
- 2015Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classificationcited by 3,611
- 2016Beyond a Gaussian Denoiser: Residual Learning of Deep CNN for Image Denoisingcited by 1,358
- 2015Automatic differentiation in machine learning: a surveycited by 855
- 2019High-Quality Self-Supervised Deep Image Denoisingcited by 161
- 2018Hyperspectral Image Denoising Employing a Spatial-Spectral Deep Residual Convolutional Neural Networkcited by 51
- 2019Deep Learning for Classification of Hyperspectral Data: A Comparative Reviewcited by 51
- 2014Sparse Modeling for Image and Vision Processingcited by 48
- 20203D Quasi-Recurrent Neural Network for Hyperspectral Image Denoisingcited by 44
- 2018Non-local Meets Global: An Integrated Paradigm for Hyperspectral Denoisingcited by 39
- 2019Rethinking the CSC Model for Natural Imagescited by 21
- 2020SMDS-Net: Model Guided Spectral-Spatial Network for Hyperspectral Image Denoisingcited by 12
- 2020A Comprehensive Comparison of Multi-Dimensional Image Denoising Methodscited by 5
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Citing papers per year: 2022: 5; 2023: 8; 2024: 7; 2025: 10; 2026: 4.
34 papers.
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- 2024HIR-Diff: Unsupervised Hyperspectral Image Restoration Via Improved Diffusion Modelscited by 39
- 2023Spectral Enhanced Rectangle Transformer for Hyperspectral Image Denoisingcited by 35
- 2022Spatial-Spectral Transformer for Hyperspectral Image Denoisingcited by 34
- 2023DDS2M: Self-Supervised Denoising Diffusion Spatio-Spectral Model for Hyperspectral Image Restorationcited by 33
- 2024HSIGene: A Foundation Model For Hyperspectral Image Generationcited by 22
- 2023Pixel Adaptive Deep Unfolding Transformer for Hyperspectral Image Reconstructioncited by 20
- 2024SSUMamba: Spatial-Spectral Selective State Space Model for Hyperspectral Image Denoisingcited by 20
- 2023Hybrid Spectral Denoising Transformer with Guided Attentioncited by 16
- 2022Fast Noise Removal in Hyperspectral Images via Representative Coefficient Total Variationcited by 14
- 2023Mixed Attention Network for Hyperspectral Image Denoisingcited by 8
- 2024HSIDMamba: Exploring Bidirectional State-Space Models for Hyperspectral Denoisingcited by 7
- 2024PromptHSI: Universal Hyperspectral Image Restoration with Vision-Language Modulated Frequency Adaptationcited by 7
22 more
- 2025Real Noise Decoupling for Hyperspectral Image Denoisingcited by 7
- 2023Hyperspectral Image Denoising via Spatial-Spectral Recurrent Transformercited by 6
- 2025MP-HSIR: A Multi-Prompt Framework for Universal Hyperspectral Image Restorationcited by 6
- 2022Learning Task-Oriented Flows to Mutually Guide Feature Alignment in Synthesized and Real Video Denoisingcited by 5
- 2023Deep Diversity-Enhanced Feature Representation of Hyperspectral Imagescited by 5
- 2023Degradation-Noise-Aware Deep Unfolding Transformer for Hyperspectral Image Denoisingcited by 5
- 2022Panchromatic and Multispectral Image Fusion via Alternating Reverse Filtering Networkcited by 4
- 2025Benchmarking Self-Supervised Learning Methods for Accelerated MRI Reconstructioncited by 4
- 2024Hybrid Spatial-spectral Neural Network for Hyperspectral Image Denoisingcited by 2
- 2025Iterative Low-rank Network for Hyperspectral Image Denoisingcited by 2
- 2025ACMamba: Fast Unsupervised Anomaly Detection via An Asymmetrical Consensus State Space Modelcited by 1
- 2026Scalable neural pushbroom architectures for real-time denoising of hyperspectral images onboard satellitescited by 1
- 2026Leveraging pretrained RGB denoisers for hyperspectral image restorationcited by 1
- 2022Rank-Enhanced Low-Dimensional Convolution Set for Hyperspectral Image Denoisingcited by 0
- 2024Beyond the Visible: Jointly Attending to Spectral and Spatial Dimensions with HSI-Diffusion for the FINCH Spacecraftcited by 0
- 2025Equal is Not Always Fair: A New Perspective on Hyperspectral Representation Non-Uniformitycited by 0
- 2025A TRPCA-Inspired Deep Unfolding Network for Hyperspectral Image Denoising via Thresholded t-SVD and Top-K Sparse Transformercited by 0
- 2025Hybrid-Domain Synergistic Transformer for Hyperspectral Image Denoisingcited by 0
- 2025Hyperspectral Image Recovery Constrained by Multi-Granularity Non-Local Self-Similarity Priorscited by 0
- 2025Deep Equilibrium Convolutional Sparse Coding for Hyperspectral Image Denoisingcited by 0
- 2026HIR-ALIGN: Enhancing Hyperspectral Image Restoration via Diffusion-Based Data Generationcited by 0
- 2026AXS-Net: Interpretable Deep Unfolding for Hyperspectral Image Denoising via Spectral Basis Unmixing and Structured Noise Refinementcited by 0
- 2026AXS-Net: Interpretable Deep Unfolding for Hyperspectral Image Denoising via Spectral Basis Unmixing and Structured Noise Refinement8 Sep 2026
- 2026Leveraging pretrained RGB denoisers for hyperspectral image restoration23 May 2026
- 2026HIR-ALIGN: Enhancing Hyperspectral Image Restoration via Diffusion-Based Data Generation13 May 2026
- 2026Scalable neural pushbroom architectures for real-time denoising of hyperspectral images onboard satellites8 Jan 2026
- 2025Real Noise Decoupling for Hyperspectral Image Denoising21 Nov 2025
- 2025Iterative Low-rank Network for Hyperspectral Image Denoising30 Aug 2025
- 2025Deep Equilibrium Convolutional Sparse Coding for Hyperspectral Image Denoising21 Aug 2025
- 2025Hyperspectral Image Recovery Constrained by Multi-Granularity Non-Local Self-Similarity Priors2 Aug 2025
- 2025Hybrid-Domain Synergistic Transformer for Hyperspectral Image Denoising27 Jul 2025
- 2025A TRPCA-Inspired Deep Unfolding Network for Hyperspectral Image Denoising via Thresholded t-SVD and Top-K Sparse Transformer3 Jun 2025
- 2025Equal is Not Always Fair: A New Perspective on Hyperspectral Representation Non-Uniformity16 May 2025
- 2025ACMamba: Fast Unsupervised Anomaly Detection via An Asymmetrical Consensus State Space Model16 Apr 2025
22 more
- 2025MP-HSIR: A Multi-Prompt Framework for Universal Hyperspectral Image Restoration12 Mar 2025
- 2025Benchmarking Self-Supervised Learning Methods for Accelerated MRI Reconstruction19 Feb 2025
- 2024PromptHSI: Universal Hyperspectral Image Restoration with Vision-Language Modulated Frequency Adaptation24 Nov 2024
- 2024HSIGene: A Foundation Model For Hyperspectral Image Generation19 Sep 2024
- 2024Beyond the Visible: Jointly Attending to Spectral and Spatial Dimensions with HSI-Diffusion for the FINCH Spacecraft15 Jun 2024
- 2024Hybrid Spatial-spectral Neural Network for Hyperspectral Image Denoising13 Jun 2024
- 2024SSUMamba: Spatial-Spectral Selective State Space Model for Hyperspectral Image Denoising2 May 2024
- 2024HSIDMamba: Exploring Bidirectional State-Space Models for Hyperspectral Denoising15 Apr 2024
- 2024HIR-Diff: Unsupervised Hyperspectral Image Restoration Via Improved Diffusion Models24 Feb 2024
- 2023Hyperspectral Image Denoising via Spatial-Spectral Recurrent Transformer31 Dec 2023
- 2023Pixel Adaptive Deep Unfolding Transformer for Hyperspectral Image Reconstruction21 Aug 2023
- 2023Degradation-Noise-Aware Deep Unfolding Transformer for Hyperspectral Image Denoising6 May 2023
- 2023Spectral Enhanced Rectangle Transformer for Hyperspectral Image Denoising3 Apr 2023
- 2023Hybrid Spectral Denoising Transformer with Guided Attention16 Mar 2023
- 2023DDS2M: Self-Supervised Denoising Diffusion Spatio-Spectral Model for Hyperspectral Image Restoration12 Mar 2023
- 2023Mixed Attention Network for Hyperspectral Image Denoising27 Jan 2023
- 2023Deep Diversity-Enhanced Feature Representation of Hyperspectral Images15 Jan 2023
- 2022Spatial-Spectral Transformer for Hyperspectral Image Denoising25 Nov 2022
- 2022Fast Noise Removal in Hyperspectral Images via Representative Coefficient Total Variation3 Nov 2022
- 2022Panchromatic and Multispectral Image Fusion via Alternating Reverse Filtering Network15 Oct 2022
- 2022Learning Task-Oriented Flows to Mutually Guide Feature Alignment in Synthesized and Real Video Denoising25 Aug 2022
- 2022Rank-Enhanced Low-Dimensional Convolution Set for Hyperspectral Image Denoising9 Jul 2022
- 2024HIR-Diff: Unsupervised Hyperspectral Image Restoration Via Improved Diffusion Modelscited by 39
- 2023DDS2M: Self-Supervised Denoising Diffusion Spatio-Spectral Model for Hyperspectral Image Restorationcited by 33
- 2024HSIGene: A Foundation Model For Hyperspectral Image Generationcited by 22
- 2024Beyond the Visible: Jointly Attending to Spectral and Spatial Dimensions with HSI-Diffusion for the FINCH Spacecraftcited by 0
- 2024HSIGene: A Foundation Model For Hyperspectral Image Generation19 Sep 2024
- 2024Beyond the Visible: Jointly Attending to Spectral and Spatial Dimensions with HSI-Diffusion for the FINCH Spacecraft15 Jun 2024
- 2024HIR-Diff: Unsupervised Hyperspectral Image Restoration Via Improved Diffusion Models24 Feb 2024
- 2023DDS2M: Self-Supervised Denoising Diffusion Spatio-Spectral Model for Hyperspectral Image Restoration12 Mar 2023
- 2023Spectral Enhanced Rectangle Transformer for Hyperspectral Image Denoisingcited by 35
- 2022Spatial-Spectral Transformer for Hyperspectral Image Denoisingcited by 34
- 2023Pixel Adaptive Deep Unfolding Transformer for Hyperspectral Image Reconstructioncited by 20
- 2023Hybrid Spectral Denoising Transformer with Guided Attentioncited by 16
- 2022Fast Noise Removal in Hyperspectral Images via Representative Coefficient Total Variationcited by 14
- 2023Mixed Attention Network for Hyperspectral Image Denoisingcited by 8
- 2024PromptHSI: Universal Hyperspectral Image Restoration with Vision-Language Modulated Frequency Adaptationcited by 7
- 2025Real Noise Decoupling for Hyperspectral Image Denoisingcited by 7
- 2023Hyperspectral Image Denoising via Spatial-Spectral Recurrent Transformercited by 6
- 2025MP-HSIR: A Multi-Prompt Framework for Universal Hyperspectral Image Restorationcited by 6
- 2022Learning Task-Oriented Flows to Mutually Guide Feature Alignment in Synthesized and Real Video Denoisingcited by 5
- 2023Deep Diversity-Enhanced Feature Representation of Hyperspectral Imagescited by 5
12 most cited of 28 All 28 (JSON)
- 2026AXS-Net: Interpretable Deep Unfolding for Hyperspectral Image Denoising via Spectral Basis Unmixing and Structured Noise Refinement8 Sep 2026
- 2026Leveraging pretrained RGB denoisers for hyperspectral image restoration23 May 2026
- 2026HIR-ALIGN: Enhancing Hyperspectral Image Restoration via Diffusion-Based Data Generation13 May 2026
- 2026Scalable neural pushbroom architectures for real-time denoising of hyperspectral images onboard satellites8 Jan 2026
- 2025Real Noise Decoupling for Hyperspectral Image Denoising21 Nov 2025
- 2025Iterative Low-rank Network for Hyperspectral Image Denoising30 Aug 2025
- 2025Deep Equilibrium Convolutional Sparse Coding for Hyperspectral Image Denoising21 Aug 2025
- 2025Hyperspectral Image Recovery Constrained by Multi-Granularity Non-Local Self-Similarity Priors2 Aug 2025
- 2025Hybrid-Domain Synergistic Transformer for Hyperspectral Image Denoising27 Jul 2025
- 2025A TRPCA-Inspired Deep Unfolding Network for Hyperspectral Image Denoising via Thresholded t-SVD and Top-K Sparse Transformer3 Jun 2025
- 2025Equal is Not Always Fair: A New Perspective on Hyperspectral Representation Non-Uniformity16 May 2025
- 2025ACMamba: Fast Unsupervised Anomaly Detection via An Asymmetrical Consensus State Space Model16 Apr 2025
12 newest of 28 All 28 (JSON)