Image Inverse Problems

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10 papers in the last four weeks, up 150% on the four weeks before. 0.1% of all new papers.

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Dual-Prior Guided Null-Space Learning with Mixture-of-Splines for Arbitrary Medical Slice Super-Resolution
Jun 25, 2026Haofei Song, Siyuan Xu, Xintian Mao +3Image Reconstruction Medical Image Super-Resolution
Shanghai Key Laboratory of Multidimensional Information Processing, East China Normal University, Shanghai 200241, China
Shift Variant Image Degradation and Restoration Using Singular Value Decomposition
Jun 24, 2026Arun D. KulkarniImage Deblurring Image Restoration
Computer Science Department at University of Texas at Tyler, Tyker, TX 75799 USA
What Do Flow-Based Inverse Solvers Approximate? A Posterior-Transport View
Jun 23, 2026Jian Xu, Delu Zeng, John Paisley +1Flow Matching Bayesian Inverse Problems
1RIKEN iTHEMS · 2RIKEN AIP · 3South China University of Technology +1
Tensor Train Decomposition-based 3D Implicit Full Waveform Inversion with Multi-scale Structural Similarity
Jun 22, 2026Liangsheng He, Chao Song, Tiansheng Chen +2Implicit Neural Representations 3D Reconstruction
State Key Laboratory of Deep Earth Exploration and Imaging College of GeoExploration Science and Technology, Jilin University Changchun, Jilin, 130021, China · State Key Laboratory of DeepChaoEarthSong Exploration and Imaging College of GeoExploration Science and Technology, Jilin University Changchun, Jilin, 130021, China · Petroleum Exploration and Production Research Institute, Sinopec Beijing, 100083, China
Deep Unrolled Networks in Representation Space Applied to MRI Reconstruction
Jun 19, 2026Efe Ilıcak, Baris Imre, Chloé Najac +4Accelerated MRI Reconstruction Image Inverse Problems
Department of Radiology, Leiden University Medical Center, Leiden, Netherlands
ShuffleFlow: Scalable Posterior Inference for Bayesian Inverse Imaging
Jun 19, 2026Tianao Li, Tjitske Starkenburg, Yu Sun +1Bayesian Inverse Problems Image Reconstruction
Department of Computer Science, Northwestern University, Evanston, IL 60208
Flow Map Denoisers: Traversing the Distortion-Perception Plane for Inverse Problems
Jun 18, 2026Nicolas Zilberstein, Morteza Mardani, Santiago SegarraFlow Matching Flow Map Learning
Rice University · NVIDIA Inc.
Blind Recovery of Latent Domains via Unsupervised Symmetry Discovery
Jun 16, 2026Onur Efe, Arkadas OzakinInverse Problems Image Inverse Problems
Physics Department, Bogazici University
LUCID: Learned Undersampling-Adaptive Consistency-Guided Inference with Deterministic Flow Matching for Sparse-View CT Reconstruction
Jun 15, 2026Jigang Duan, Jiayi Wang, Heran Wang +3Sparse-View CT Reconstruction Computational Imaging
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China · National Center for Applied Mathematics Beijing, Capital Normal University and Academy for multidisciplinary studies, Capital Normal University, Beijing, 100048, China
Beyond Single Solution: Multi-Hypothesis Collaborative Deep Unfolding Network for Image Compressive Sensing
Jun 2, 2026Wenxue Cui, Hualin Li, Yuhang Qin +3Image Reconstruction Compressed Sensing
Harbin Institute of Technology, Harbin, China · Harbin Institute of Technology Suzhou Research Institute, Suzhou, China
Hallucination-Aware Diffusion Sampling for Inverse Problems via Robust Prior Updates
Jun 1, 2026Pengfei Jin, Yiqi Tian, Kailong Fan +2Diffusion-Based Inverse Problems Hallucination Mitigation
Center for Advanced Medical Computing and Analysis, Massachusetts General Hospital and Harvard Medical School, Boston, MA 02114 · Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA 15261
Physics-Aware Linearized ADMM and Its Unrolling
Jun 1, 2026Satoshi Takabe, Shunta Arai, Tadashi WadayamaAlternating Direction Method of Multipliers Algorithm Unrolling
Department of Computer Science Institute of Science Tokyo Tokyo, Japan · Center for Advanced Intelligence Project RIKEN Tokyo, Japan · Department of Engineering Nagoya Institute of Technology Nagoya, Japan
SubsurfaceGen: Procedural Generation of Field-Scale Earth Models and Seismic Data
May 28, 2026Joseph Stitt, Pratik Rathore, Madeleine Udell +1Synthetic Data Generation PDE Surrogate Modeling
Stanford University
Trajectory Constraints for Imaging Inverse Problems
May 27, 2026Chaoyan Huang, Haijie Yuan, Saiprasad RavishankarImage Reconstruction Computational Imaging
Department of Computational Mathematics, Science, & Engineering, Michigan State University · Department of Electrical Engineering and Computer Science, University of Michigan · Department of Biomedical Engineering, Michigan State University
Bound-Constrained Sparse Representation for Electrical Impedance Tomography
May 27, 2026Chun Zhang, Dong LiuSparse Recovery Image Reconstruction
School of Biomedical Engineering and Suzhou Institute for Advanced Research, University of Science and Technology of China, Suzhou 215123, China · Laboratory of Spin Magnetic Resonance and Anhui Province Key Laboratory of Scientific Instrument Development and Application, University of Science and Technology of China, Hefei 230026, China · Jiangsu Provincial Key Laboratory of Multimodal Digital Twin Technology, Suzhou 215123, China
Unsupervised Deep Image Prior for Sparse-View and Limited-Angle Electron Tomography
May 26, 2026Serge Brosset, Daniel del Pozo Bueno, Thomas David +3Sparse-View CT Reconstruction Computed Tomography
a Univ. Grenoble Alpes, CEA, Leti, F-38000 Grenoble, France. · b Univ. Grenoble Alpes, CEA, Liten, F-38000 Grenoble, France. · c CEA, Joliot, NeuroSpin, Gif-sur-Yvette Cedex 91191, France. +1
A Viscosity Semigroup Framework for Stable Image Reconstruction
May 26, 2026Arina OberoiImage Reconstruction Image Inverse Problems
Triadic Dynamics Aware Diffusion Posterior Sampling for Inverse Problems: Optimizing Guidance and Stochasticity Schedules
May 26, 2026Junseo Bang, Dong Ju Mun, Hoigi Seo +2Diffusion Model Guidance Diffusion Timestep Scheduling
Dept. of Electrical and Computer Engineering · INMC · IPAI & AIIS
A Principled Self-Referenced Early Stopping Approach for Deep Image Prior
May 24, 2026Chaoyan Huang, Cheng-Han Huang, Ismail R. Alkhouri +1Early Stopping Image Reconstruction
Department of Computational Mathematics, Science, & Engineering, Michigan State University · Department of Electrical Engineering and Computer Science, University of Michigan · X Computational Physics Division, Los Alamos National Laboratory +2
Single View Seafloor Recovery from Imaging Sonar via Differentiable Rendering
May 22, 2026Sevan Brodjian, Michael Hobley, Pietro PeronaDifferentiable Rendering Underwater Imaging
California Institute of Technology
UOTIP: Unbalanced Optimal Transport Map for Unpaired Inverse Problems
May 20, 2026Donggyu Lee, Taekyung Lee, Jaewoong ChoiImage Reconstruction Optimal Transport
Department of Mathematical Sciences, Seoul National University · IPAI (Interdisciplinary Program in Artificial Intelligence, Seoul National University) · Sungkyunkwan University
Learning Normalized Energy Models for Linear Inverse Problems
May 15, 2026Nicolas Zilberstein, Santiago Segarra, Eero Simoncelli +1Bayesian Inverse Problems Energy-Based Models
Rice University, Houston, TX, USA · Flatiron Institute, New York, NY, USA · New York University, New York, NY, USA
DIPA: Distilled Preconditioned Algorithms for Solving Imaging Inverse Problems
May 14, 2026Romario Gualdrón-Hurtado, Roman Jacome, Leon Suarez +1Learning to Optimize Image Reconstruction
Department of Computer Science, Universidad Industrial de Santander, Bucaramanga, 680002, Colombia · Department of Electrical Engineering, Universidad Industrial de Santander, Bucaramanga, 680002, Colombia
Deciphering Neural Reparameterized Full-Waveform Inversion with Neural Sensitivity Kernel and Wave Tangent Kernel
May 14, 2026Ruihua Chen, Yisi Luo, Bangyu Wu +2Neural Tangent Kernel Inverse Problems
School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, China · School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, China · School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610000, China
Aligning Network Equivariance with Data Symmetry: A Theoretical Framework and Adaptive Approach for Image Restoration
May 13, 2026Feiyu Tan, Qi Xie, Zongben Xu +1Equivariant Neural Networks Image Restoration
School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, China
DeepFilters: Scattering-Aware Pupil Engineering with Learned Digital Filter Reconstruction for Extended Depth of Field Microscopy
May 13, 2026Joseph L. Greene, Suet YIng Chan, Qilin Deng +8Image Reconstruction Microscopy Image Analysis
Boston University, Department of Electrical and Computer Engineering, Boston, MA, 02215 · Current Address: Georgia Tech Research Institute, Electro-Optical Systems Lab, Atlanta, GA, 30332 · Boston University, Department of Biology, Boston, MA, 02215 +3
Bayesian In Vivo Tracking of Synapses using Joint Poisson Deconvolution and Diffeomorphic Registration
May 13, 2026Shashwat Kumar, Dominic M. Padova, Binish Narang +6Bayesian Inverse Problems Longitudinal Medical Image Analysis
Department of Biomedical Engineering, Johns Hopkins University · Department of Neuroscience, Johns Hopkins University · Kavli Neuroscience Discovery Institute, Johns Hopkins University +2
Beyond MMSE: Enhancing PnP Restoration with ProxiMAP
May 12, 2026Kenta Vert, Giacomo Meanti, Scott Pesme +2Diffusion Models for Image Restoration Computational Imaging
1Univ. Grenoble Alpes, Inria, CNRS, Grenoble INP, LJK · 2MaLGa Centre, DIBRIS, Università di Genova, MMS, Italian Institute of Technology, Genova, Italy
Improving Diffusion Posterior Samplers with Lagged Temporal Corrections for Image Restoration
May 12, 2026Davide Evangelista, Elena Morotti, Francesco Pivi +1Diffusion Sampling Image Restoration
Dept. of Computer Science and Engineering University of Bologna · Dept. of Political and Social Sciences University of Bologna
When Brains Disagree: Biological Ambiguity Underlies the Challenge of Amyloid PET Synthesis from Structural MRI
May 12, 2026Louise E. G. Baron, Ross Callaghan, David M. Cash +3Alzheimer's Disease Medical Image Synthesis
Hawkes Institute, University College London, UK · Department of Medical Physics and Biomedical Engineering, University College London, UK · AINOSTICS Ltd, Manchester, UK +3

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Dual-Prior Guided Null-Space Learning with Mixture-of-Splines for Arbitrary Medical Slice Super-Resolution

Haofei Song, Siyuan Xu, Xintian Mao, Shaojie Guo+2

Shanghai Key Laboratory of Multidimensional Information Processing, East China Normal University, Shanghai 200241, China

Image Reconstruction Medical Image Super-Resolution Inverse Problems Image Super-Resolution Image Inverse Problems

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Arbitrary slice super-resolution reconstructs isotropic volumes from anisotropic clinical acquisitions by synthesizing intermediate slices at arbitrary scales. However, treating this ill-posed inverse problem as unconstrained residual-based regression risks hallucinating anatomically implausible structures or altering the originally observed data. To address both concerns, this paper presents the Dual-Prior Null-space Learning (DP-NSL) framework, which reformulates the task as a constrained recovery process guided by two complementary priors. A Measurement-Consistent Projection (MCP) enforces a Deterministic Observation Prior: the reconstruction undergoes an exact orthogonal projection that reproduces every acquired slice with zero error, confining all learned details to the unobservable null space. Within this null space, a Mixture-of-Splines (MoS) module imposes a Geometric Continuity Prior by dynamically mixing B-spline experts of different analytic orders, allowing each anatomical region to be modeled with a content-aware level of continuity. To promote spatial coherence, a Local Spatial Consistency Decoder (LSCD) further injects local inductive bias. Experiments on three CT and one MRI benchmark show that DP-NSL outperforms existing approaches while strictly preserving measurement consistency. Code is available at https://github.com/DeepMed-Lab-ECNU/Medical-Image-Reconstruction.

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