Image Restoration using Total Variation Regularized Deep Image Prior
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Abstract (arXiv)
In the past decade, sparsity-driven regularization has led to significant improvements in image reconstruction. Traditional regularizers, such as total variation (TV), rely on analytical models of sparsity. However, increasingly the field is moving towards trainable models, inspired from deep learning. Deep image prior (DIP) is a recent regularization framework that uses a convolutional neural network (CNN) architecture without data-driven training. This paper extends the DIP framework by combining it with the traditional TV regularization. We show that the inclusion of TV leads to considerable performance gains when tested on several traditional restoration tasks such as image denoising and deblurring.
Key facts. Cited by 65 papers in the map (data through 7 Oct 2026). First posted on arXiv 30 Oct 2018.
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Citing papers per year: 2021: 10; 2022: 8; 2023: 16; 2024: 16; 2025: 8; 2026: 7.
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- 2021Explore Image Deblurring via Blur Kernel Spacecited by 58
- 2021Early Stopping for Deep Image Priorcited by 44
- 2021On Measuring and Controlling the Spectral Bias of the Deep Image Priorcited by 36
- 2024Deep Diffusion Image Prior for Efficient OOD Adaptation in 3D Inverse Problemscited by 21
- 2022Dressing in the Wild by Watching Dance Videoscited by 20
- 2023NCP: Neural Correspondence Prior for Effective Unsupervised Shape Matchingcited by 18
- 2024Learning Image Priors through Patch-based Diffusion Models for Solving Inverse Problemscited by 18
- 2021An Educated Warm Start For Deep Image Prior-Based Micro CT Reconstructioncited by 16
- 2021Untrained networks for compressive lensless photographycited by 13
- 2023Regularize implicit neural representation by itselfcited by 13
- 2024DiffusionBlend: Learning 3D Image Prior through Position-aware Diffusion Score Blending for 3D Computed Tomography Reconstructioncited by 13
- 2021Hyperspectral Denoising Using Unsupervised Disentangled Spatio-Spectral Deep Priorscited by 12
38 more
- 2023The Devil is in the Upsampling: Architectural Decisions Made Simpler for Denoising with Deep Image Priorcited by 11
- 2024Analysis of Deep Image Prior and Exploiting Self-Guidance for Image Reconstructioncited by 11
- 2022Uncertainty Estimation for Computed Tomography with a Linearised Deep Image Priorcited by 10
- 2021Deformation-Compensated Learning for Image Reconstruction without Ground Truthcited by 9
- 2023Deep Internal Learning: Deep Learning from a Single Inputcited by 9
- 2021Image Restoration by Deep Projected GSUREcited by 8
- 2024Patch-Based Diffusion Models Beat Whole-Image Models for Mismatched Distribution Inverse Problemscited by 8
- 2022Computing Multiple Image Reconstructions with a Single Hypernetworkcited by 7
- 2022PnP-ReG: Learned Regularizing Gradient for Plug-and-Play Gradient Descentcited by 7
- 2024NeurTV: Total Variation on the Neural Domaincited by 7
- 2023SEMPART: Self-supervised Multi-resolution Partitioning of Image Semanticscited by 4
- 2023Unsupervised approaches based on optimal transport and convex analysis for inverse problems in imagingcited by 4
- 2022Priors in Deep Image Restoration and Enhancement: A Surveycited by 3
- 2022Reversing Image Signal Processors by Reverse Style Transferringcited by 3
- 2023Convergence and Recovery Guarantees of Unsupervised Neural Networks for Inverse Problemscited by 3
- 2023Towards Architecture-Agnostic Untrained Network Priors for Image Reconstruction with Frequency Regularizationcited by 3
- 2023Convergence Guarantees of Overparametrized Wide Deep Inverse Priorcited by 2
- 2023SVD-DIP: Overcoming the Overfitting Problem in DIP-based CT Reconstructioncited by 2
- 2023Deep image prior inpainting of ancient frescoes in the Mediterranean Alpine arccited by 2
- 2024Boosting of Implicit Neural Representation-based Image Denoisercited by 2
- 2024Optimal Eye Surgeon: Finding Image Priors through Sparse Generators at Initializationcited by 2
- 2024DeepTV: A neural network approach for total variation minimizationcited by 2
- 2025Nonasymptotic Convergence Rates for Plug-and-Play Methods With MMSE Denoiserscited by 2
- 2022MetaDIP: Accelerating Deep Image Prior with Meta Learningcited by 1
- 2022Residual Back Projection With Untrained Neural Networkscited by 1
- 2023Image Reconstruction via Deep Image Prior Subspacescited by 1
- 2023Self-Supervised Hyperspectral Inpainting with the Optimisation inspired Deep Neural Network Priorcited by 1
- 2023Self-supervised Deep Hyperspectral Inpainting with the Sparsity and Low-Rank Considerationscited by 1
- 2023VDIP-TGV: Blind Image Deconvolution via Variational Deep Image Prior Empowered by Total Generalized Variationcited by 1
- 2023GC-VTON: Predicting Globally Consistent and Occlusion Aware Local Flows with Neighborhood Integrity Preservation for Virtual Try-oncited by 1
- 2024Robustness and Exploration of Variational and Machine Learning Approaches to Inverse Problems: An Overviewcited by 1
- 2024On normalization-equivariance properties of supervised and unsupervised denoising methods: a surveycited by 1
- 2024SDIP: Self-Reinforcement Deep Image Prior Framework for Image Processingcited by 1
- 2025Self-supervised Deep Hyperspectral Inpainting with the Plug and Play and Deep Image Prior Modelscited by 1
- 2025Deep Spectral Priorcited by 1
- 2021Deep Chaos Synchronizationcited by 0
- 2021Using Deep Image Prior to Assist Variational Selective Segmentation Deep Learning Algorithmscited by 0
- 2024Fast Unsupervised Tensor Restoration via Low-rank Deconvolutioncited by 0
50 most cited of 65 All 65 (JSON)
- 2026Backward SDEs-based Diffusion for Physics-Constrained Generation14 Sep 2026
- 2026Pooling-Based Context Modeling for Convolution-Free Deep Image Prior3 Jul 2026
- 2026A Zero-Shot Deep Image Prior Framework for Denoising and Deconvolution in Fluorescence Microscopy26 Jun 2026
- 2026A Principled Self-Referenced Early Stopping Approach for Deep Image Prior24 May 2026
- 2026CogGen: Cognitive-Load-Inspired Fully Unsupervised Deep Generative Modeling for Compressively Sampled MRI Reconstruction20 Feb 2026
- 2026NAB: Neural Adaptive Binning for Sparse-View CT reconstruction2 Feb 2026
- 2026Deep Image Prior with L0 Gradient Regularizer for Image Smoothing19 Jan 2026
- 2025Tada-DIP: Input-adaptive Deep Image Prior for One-shot 3D Image Reconstruction3 Dec 2025
- 2025DNA-Prior: Unsupervised Denoise Anything via Dual-Domain Prior28 Nov 2025
- 2025Nonasymptotic Convergence Rates for Plug-and-Play Methods With MMSE Denoisers31 Oct 2025
- 2025Implicit Regularization of the Deep Inverse Prior Trained with Inertia3 Jun 2025
- 2025Efficient Learning of Balanced Signed Graphs via Sparse Linear Programming2 Jun 2025
38 more
- 2025Deep Spectral Prior26 May 2025
- 2025Total Variation-Based Image Decomposition and Denoising for Microscopy Images13 May 2025
- 2025Self-supervised Deep Hyperspectral Inpainting with the Plug and Play and Deep Image Prior Models14 Jan 2025
- 2024Equivariant Test-Time Training with Operator Sketching for Imaging Inverse Problems8 Nov 2024
- 2024Chasing Better Deep Image Priors between Over- and Under-parameterization31 Oct 2024
- 2024Unsupervised Low-dose CT Reconstruction with One-way Conditional Normalizing Flows23 Oct 2024
- 2024Patch-Based Diffusion Models Beat Whole-Image Models for Mismatched Distribution Inverse Problems15 Oct 2024
- 2024DeepTV: A neural network approach for total variation minimization9 Sep 2024
- 2024Deep Diffusion Image Prior for Efficient OOD Adaptation in 3D Inverse Problems15 Jul 2024
- 2024Fast Unsupervised Tensor Restoration via Low-rank Deconvolution15 Jun 2024
- 2024DiffusionBlend: Learning 3D Image Prior through Position-aware Diffusion Score Blending for 3D Computed Tomography Reconstruction14 Jun 2024
- 2024Optimal Eye Surgeon: Finding Image Priors through Sparse Generators at Initialization7 Jun 2024
- 2024Learning Image Priors through Patch-based Diffusion Models for Solving Inverse Problems4 Jun 2024
- 2024NeurTV: Total Variation on the Neural Domain27 May 2024
- 2024SDIP: Self-Reinforcement Deep Image Prior Framework for Image Processing17 Apr 2024
- 2024On normalization-equivariance properties of supervised and unsupervised denoising methods: a survey23 Feb 2024
- 2024Robustness and Exploration of Variational and Machine Learning Approaches to Inverse Problems: An Overview19 Feb 2024
- 2024Analysis of Deep Image Prior and Exploiting Self-Guidance for Image Reconstruction6 Feb 2024
- 2024Boosting of Implicit Neural Representation-based Image Denoiser3 Jan 2024
- 2023Towards Architecture-Agnostic Untrained Network Priors for Image Reconstruction with Frequency Regularization15 Dec 2023
- 2023Deep Internal Learning: Deep Learning from a Single Input12 Dec 2023
- 2023Unsupervised approaches based on optimal transport and convex analysis for inverse problems in imaging15 Nov 2023
- 2023GC-VTON: Predicting Globally Consistent and Occlusion Aware Local Flows with Neighborhood Integrity Preservation for Virtual Try-on7 Nov 2023
- 2023VDIP-TGV: Blind Image Deconvolution via Variational Deep Image Prior Empowered by Total Generalized Variation30 Oct 2023
- 2023Convergence and Recovery Guarantees of Unsupervised Neural Networks for Inverse Problems21 Sep 2023
- 2023SEMPART: Self-supervised Multi-resolution Partitioning of Image Semantics20 Sep 2023
- 2023Deep image prior inpainting of ancient frescoes in the Mediterranean Alpine arc25 Jun 2023
- 2023Self-supervised Deep Hyperspectral Inpainting with the Sparsity and Low-Rank Considerations13 Jun 2023
- 2023Self-Supervised Hyperspectral Inpainting with the Optimisation inspired Deep Neural Network Prior12 Jun 2023
- 2023The Devil is in the Upsampling: Architectural Decisions Made Simpler for Denoising with Deep Image Prior22 Apr 2023
- 2023SVD-DIP: Overcoming the Overfitting Problem in DIP-based CT Reconstruction28 Mar 2023
- 2023Regularize implicit neural representation by itself27 Mar 2023
- 2023Convergence Guarantees of Overparametrized Wide Deep Inverse Prior20 Mar 2023
- 2023Image Reconstruction via Deep Image Prior Subspaces20 Feb 2023
- 2023NCP: Neural Correspondence Prior for Effective Unsupervised Shape Matching14 Jan 2023
- 2022Residual Back Projection With Untrained Neural Networks26 Oct 2022
- 2022Reversing Image Signal Processors by Reverse Style Transferring17 Oct 2022
- 2022MetaDIP: Accelerating Deep Image Prior with Meta Learning18 Sep 2022
50 newest of 65 All 65 (JSON)
- 2024Deep Diffusion Image Prior for Efficient OOD Adaptation in 3D Inverse Problemscited by 21
- 2024Learning Image Priors through Patch-based Diffusion Models for Solving Inverse Problemscited by 18
- 2024DiffusionBlend: Learning 3D Image Prior through Position-aware Diffusion Score Blending for 3D Computed Tomography Reconstructioncited by 13
- 2024Patch-Based Diffusion Models Beat Whole-Image Models for Mismatched Distribution Inverse Problemscited by 8
- 2026Backward SDEs-based Diffusion for Physics-Constrained Generationcited by 0
- 2026Backward SDEs-based Diffusion for Physics-Constrained Generation14 Sep 2026
- 2024Patch-Based Diffusion Models Beat Whole-Image Models for Mismatched Distribution Inverse Problems15 Oct 2024
- 2024Deep Diffusion Image Prior for Efficient OOD Adaptation in 3D Inverse Problems15 Jul 2024
- 2024DiffusionBlend: Learning 3D Image Prior through Position-aware Diffusion Score Blending for 3D Computed Tomography Reconstruction14 Jun 2024
- 2024Learning Image Priors through Patch-based Diffusion Models for Solving Inverse Problems4 Jun 2024
- 2021Explore Image Deblurring via Blur Kernel Spacecited by 58
- 2021Early Stopping for Deep Image Priorcited by 44
- 2021On Measuring and Controlling the Spectral Bias of the Deep Image Priorcited by 36
- 2022Dressing in the Wild by Watching Dance Videoscited by 20
- 2023NCP: Neural Correspondence Prior for Effective Unsupervised Shape Matchingcited by 18
- 2021An Educated Warm Start For Deep Image Prior-Based Micro CT Reconstructioncited by 16
- 2021Untrained networks for compressive lensless photographycited by 13
- 2023Regularize implicit neural representation by itselfcited by 13
- 2021Hyperspectral Denoising Using Unsupervised Disentangled Spatio-Spectral Deep Priorscited by 12
- 2023The Devil is in the Upsampling: Architectural Decisions Made Simpler for Denoising with Deep Image Priorcited by 11
- 2024Analysis of Deep Image Prior and Exploiting Self-Guidance for Image Reconstructioncited by 11
- 2022Uncertainty Estimation for Computed Tomography with a Linearised Deep Image Priorcited by 10
12 most cited of 60 All 60 (JSON)
- 2026Pooling-Based Context Modeling for Convolution-Free Deep Image Prior3 Jul 2026
- 2026A Zero-Shot Deep Image Prior Framework for Denoising and Deconvolution in Fluorescence Microscopy26 Jun 2026
- 2026A Principled Self-Referenced Early Stopping Approach for Deep Image Prior24 May 2026
- 2026CogGen: Cognitive-Load-Inspired Fully Unsupervised Deep Generative Modeling for Compressively Sampled MRI Reconstruction20 Feb 2026
- 2026NAB: Neural Adaptive Binning for Sparse-View CT reconstruction2 Feb 2026
- 2026Deep Image Prior with L0 Gradient Regularizer for Image Smoothing19 Jan 2026
- 2025Tada-DIP: Input-adaptive Deep Image Prior for One-shot 3D Image Reconstruction3 Dec 2025
- 2025DNA-Prior: Unsupervised Denoise Anything via Dual-Domain Prior28 Nov 2025
- 2025Nonasymptotic Convergence Rates for Plug-and-Play Methods With MMSE Denoisers31 Oct 2025
- 2025Implicit Regularization of the Deep Inverse Prior Trained with Inertia3 Jun 2025
- 2025Efficient Learning of Balanced Signed Graphs via Sparse Linear Programming2 Jun 2025
- 2025Deep Spectral Prior26 May 2025
12 newest of 60 All 60 (JSON)