mlsanityData to 7 Oct 2026

Graph Spectral Image Processing

arXiv 1801.04749 ↗First posted 15 Jan 2018eess.IV eess.SPcited by 41

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Abstract (arXiv)

Recent advent of graph signal processing (GSP) has spurred intensive studies of signals that live naturally on irregular data kernels described by graphs (e.g., social networks, wireless sensor networks). Though a digital image contains pixels that reside on a regularly sampled 2D grid, if one can design an appropriate underlying graph connecting pixels with weights that reflect the image structure, then one can interpret the image (or image patch) as a signal on a graph, and apply GSP tools for processing and analysis of the signal in graph spectral domain. In this article, we overview recent graph spectral techniques in GSP specifically for image / video processing. The topics covered include image compression, image restoration, image filtering and image segmentation.

Key facts. Cited by 41 papers in the map (data through 7 Oct 2026). First posted on arXiv 15 Jan 2018.

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Citing papers per year: 2021: 6; 2022: 10; 2023: 5; 2024: 7; 2025: 9; 2026: 4.

41 papers.

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  1. 2021Video Summarization Using Deep Neural Networks: A Surveycited by 85
  2. 2022Graph Filters for Signal Processing and Machine Learning on Graphscited by 53
  3. 2021How Framelets Enhance Graph Neural Networkscited by 46
  4. 2022Weakly Supervised Object Localization via Transformer with Implicit Spatial Calibrationcited by 20
  5. 2024Interpretable Lightweight Transformer via Unrolling of Learned Graph Smoothness Priorscited by 8
  6. 2022Efficient Signed Graph Sampling via Balancing & Gershgorin Disc Perfect Alignmentcited by 4
  7. 2024Efficient Learning of Balanced Signed Graphs via Iterative Linear Programmingcited by 4
  8. 2023Volumetric Attribute Compression for 3D Point Clouds using Feedforward Network with Geometric Attentioncited by 3
  9. 2022Sparse Graph Learning with Spectrum Prior for Deep Graph Convolutional Networkscited by 2
  10. 2023Retinex-based Image Denoising / Contrast Enhancement using Gradient Graph Laplacian Regularizercited by 2
  11. 2024Optimizing k in kNN Graphs with Graph Learning Perspectivecited by 2
  12. 2021Projection-free Graph-based Classifier Learning using Gershgorin Disc Perfect Alignmentcited by 1
29 more
  1. 2021Fast Graph Sampling for Short Video Summarization using Gershgorin Disc Alignmentcited by 1
  2. 2021Structure-Aware Multi-Hop Graph Convolution for Graph Neural Networkscited by 1
  3. 2022Online Inference for Mixture Model of Streaming Graph Signals with Non-White Excitationcited by 1
  4. 2022Motion estimation and filtered prediction for dynamic point cloud attribute compressioncited by 1
  5. 2023Graph Signal Sampling for Inductive One-Bit Matrix Completion: a Closed-form Solutioncited by 1
  6. 2023Graph Sparsification for GCN Towards Optimal Crop Yield Predictionscited by 1
  7. 2024Signal Processing in the Retina: Interpretable Graph Classifier to Predict Ganglion Cell Responsescited by 1
  8. 2025Consistent Time-of-Flight Depth Denoising via Graph-Informed Geometric Attentioncited by 1
  9. 2026Sparse Graph Learning from Sparse Data via Fiedler Number Maximizationcited by 1
  10. 2026Statistical Testing on Directed Graphs by Surrogate Data Generationcited by 1
  11. 2021Fast Computation of Generalized Eigenvectors for Manifold Graph Embeddingcited by 0
  12. 2022Hybrid Model-based / Data-driven Graph Transform for Image Codingcited by 0
  13. 2022Graph Spatio-Spectral Total Variation Model for Hyperspectral Image Denoisingcited by 0
  14. 2022Unsupervised Graph Spectral Feature Denoising for Crop Yield Predictioncited by 0
  15. 2022Estimation of a Causal Directed Acyclic Graph Process using Non-Gaussianitycited by 0
  16. 2023Attention-based Graph Convolution Fusing Latent Structures and Multiple Features for Graph Neural Networkscited by 0
  17. 2024Graph Unfolding and Sampling for Transitory Video Keyframe Selection via Gershgorin Disc Alignmentcited by 0
  18. 2024Constructing an Interpretable Deep Denoiser by Unrolling Graph Laplacian Regularizercited by 0
  19. 2024Hard-Label Black-Box Attacks on 3D Point Cloudscited by 0
  20. 2025Lightweight and Interpretable Transformer via Mixed Graph Algorithm Unrolling for Traffic Forecastcited by 0
  21. 2025Efficient Learning of Balanced Signed Graphs via Sparse Linear Programmingcited by 0
  22. 2025Unrolling Nonconvex Graph Total Variation for Image Denoisingcited by 0
  23. 2025Hierarchical Graph Feature Enhancement with Adaptive Frequency Modulation for Visual Recognitioncited by 0
  24. 2025Unrolling Graph-based Douglas-Rachford Algorithm for Image Interpolation with Informed Initializationcited by 0
  25. 2025Sampling Method for Generalized Graph Signals with Pre-selected Vertices via DC Optimizationcited by 0
  26. 2025Lightweight Transformer for EEG Classification via Balanced Signed Graph Algorithm Unrollingcited by 0
  27. 2025Rotation-Parameterized Graph Fractional Fourier Transform: Definition, Properties, and Optimal Filteringcited by 0
  28. 2026Low-rank Updates in Slowly Time-varying Graphs for Spatial-Temporal Signal Interpolationcited by 0
  29. 2026Graph Learning with Spectral Connectivity Priors for Scarce Datacited by 0