Neural Markov Random Field for Stereo Matching
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Abstract (arXiv)
Stereo matching is a core task for many computer vision and robotics applications. Despite their dominance in traditional stereo methods, the hand-crafted Markov Random Field (MRF) models lack sufficient modeling accuracy compared to end-to-end deep models. While deep learning representations have greatly improved the unary terms of the MRF models, the overall accuracy is still severely limited by the hand-crafted pairwise terms and message passing. To address these issues, we propose a neural MRF model, where both potential functions and message passing are designed using data-driven neural networks. Our fully data-driven model is built on the foundation of variational inference theory, to prevent convergence issues and retain stereo MRF's graph inductive bias. To make the inference tractable and scale well to high-resolution images, we also propose a Disparity Proposal Network (DPN) to adaptively prune the search space of disparity. The proposed approach ranks 1st on both KITTI 2012 and 2015 leaderboards among all published methods while running faster than 100 ms. This approach significantly outperforms prior global methods, e.g., lowering D1 metric by more than 50% on KITTI 2015. In addition, our method exhibits strong cross-domain generalization and can recover sharp edges. The codes at https://github.com/aeolusguan/NMRF
Key facts. Cited by 40 papers in the map (data through 14 Oct 2026). Builds on 41 of its 65 references that are in the map. First posted on arXiv 17 Mar 2024.
Builds on
41 of 65 references.
References · 41
- 2021Swin Transformer: Hierarchical Vision Transformer using Shifted Windowscited by 12,139
- 2020End-to-End Object Detection with Transformerscited by 7,414
- 2017Neural Message Passing for Quantum Chemistrycited by 3,487
- 2020Point Transformercited by 1,470
- 2019SuperGlue: Learning Feature Matching with Graph Neural Networkscited by 1,443
- 2021LoFTR: Detector-Free Local Feature Matching with Transformerscited by 984
- 2015A Large Dataset to Train Convolutional Networks for Disparity, Optical Flow, and Scene Flow Estimationcited by 881
- 2021CSWin Transformer: A General Vision Transformer Backbone with Cross-Shaped Windowscited by 527
- 2018Pyramid Stereo Matching Networkcited by 489
- 2018Pseudo-LiDAR from Visual Depth Estimation: Bridging the Gap in 3D Object Detection for Autonomous Drivingcited by 457
- 2017End-to-End Learning of Geometry and Context for Deep Stereo Regressioncited by 360
- 2021RAFT-Stereo: Multilevel Recurrent Field Transforms for Stereo Matchingcited by 353
29 more
- 2019GA-Net: Guided Aggregation Net for End-to-end Stereo Matchingcited by 244
- 2019Group-wise Correlation Stereo Networkcited by 235
- 2020AANet: Adaptive Aggregation Network for Efficient Stereo Matchingcited by 202
- 2019Learning a Neural Solver for Multiple Object Trackingcited by 198
- 2022Practical Stereo Matching via Cascaded Recurrent Network with Adaptive Correlationcited by 197
- 2020Revisiting Stereo Depth Estimation From a Sequence-to-Sequence Perspective with Transformerscited by 190
- 2023Iterative Geometry Encoding Volume for Stereo Matchingcited by 190
- 2020Hierarchical Neural Architecture Search for Deep Stereo Matchingcited by 166
- 2021CFNet: Cascade and Fused Cost Volume for Robust Stereo Matchingcited by 154
- 2015Stereo Matching by Training a Convolutional Neural Network to Compare Image Patchescited by 151
- 2019Deep Stereo using Adaptive Thin Volume Representation with Uncertainty Awarenesscited by 151
- 2018Learning Depth with Convolutional Spatial Propagation Networkcited by 136
- 2016Discriminative Embeddings of Latent Variable Models for Structured Datacited by 131
- 2022Attention Concatenation Volume for Accurate and Efficient Stereo Matchingcited by 130
- 2020HITNet: Hierarchical Iterative Tile Refinement Network for Real-time Stereo Matchingcited by 120
- 2021SMD-Nets: Stereo Mixture Density Networkscited by 120
- 2019DeepPruner: Learning Efficient Stereo Matching via Differentiable PatchMatchcited by 114
- 2015Learning to Compare Image Patches via Convolutional Neural Networkscited by 109
- 2019Domain-invariant Stereo Matching Networkscited by 109
- 2020A Survey on Deep Learning Techniques for Stereo-based Depth Estimationcited by 90
- 2018StereoNet: Guided Hierarchical Refinement for Real-Time Edge-Aware Depth Predictioncited by 88
- 2020PCW-Net: Pyramid Combination and Warping Cost Volume for Stereo Matchingcited by 62
- 2023Uncertainty Guided Adaptive Warping for Robust and Efficient Stereo Matchingcited by 37
- 2019StereoDRNet: Dilated Residual Stereo Netcited by 29
- 2018Practical Deep Stereo (PDS): Toward applications-friendly deep stereo matchingcited by 20
- 2016Continuous 3D Label Stereo Matching using Local Expansion Movescited by 16
- 2016End-to-End Training of Hybrid CNN-CRF Models for Stereocited by 10
- 2020Belief Propagation Reloaded: Learning BP-Layers for Labeling Problemscited by 9
- 2016Deep Stereo Matching with Dense CRF Priorscited by 1
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Citing papers per year: 2024: 9; 2025: 19; 2026: 12.
40 papers.
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- 2025FoundationStereo: Zero-Shot Stereo Matchingcited by 173
- 2024IGEV++: Iterative Multi-range Geometry Encoding Volumes for Stereo Matchingcited by 59
- 2025DEFOM-Stereo: Depth Foundation Model Based Stereo Matchingcited by 52
- 2024Stereo Anywhere: Robust Zero-Shot Deep Stereo Matching Even Where Either Stereo or Mono Failcited by 47
- 2025Fast-FoundationStereo: Real-Time Zero-Shot Stereo Matchingcited by 28
- 2024Playing to Vision Foundation Model's Strengths in Stereo Matchingcited by 23
- 2024A Survey on Deep Stereo Matching in the Twentiescited by 23
- 2025MonSter++: Unified Stereo Matching, Multi-view Stereo, and Real-time Stereo with Monodepth Priorscited by 19
- 2024Imperative Learning: A Self-supervised Neuro-Symbolic Learning Framework for Robot Autonomycited by 16
- 2025BridgeDepth: Bridging Monocular and Stereo Reasoning with Latent Alignmentcited by 15
- 2025BANet: Bilateral Aggregation Network for Mobile Stereo Matchingcited by 12
- 2025Diving into the Fusion of Monocular Priors for Generalized Stereo Matchingcited by 10
28 more
- 2025What Makes Good Synthetic Training Data for Zero-Shot Stereo Matching?cited by 7
- 2024Helvipad: A Real-World Dataset for Omnidirectional Stereo Depth Estimationcited by 6
- 2024Stereo Anything: Unifying Zero-shot Stereo Matching with Large-Scale Mixed Datacited by 5
- 2026TruckDrive: Long-Range Autonomous Highway Driving Datasetcited by 5
- 20253D Visual Illusion Depth Estimationcited by 3
- 2025DMS:Diffusion-Based Multi-Baseline Stereo Generation for Improving Self-Supervised Depth Estimationcited by 3
- 2025StereoCarla: A High-Fidelity Driving Dataset for Generalizable Stereocited by 3
- 2026WAFT-Stereo: Warping-Alone Field Transforms for Stereo Matchingcited by 3
- 2025A Wavelet-based Stereo Matching Framework for Solving Frequency Convergence Inconsistencycited by 2
- 2026SMFormer: Empowering Self-supervised Stereo Matching via Foundation Models and Data Augmentationcited by 2
- 2026The Midas Touch for Metric Depthcited by 2
- 2024SR-Stereo & DAPE: Stepwise Regression and Pre-trained Edges for Practical Stereo Matchingcited by 1
- 2025SpikeStereoNet: A Brain-Inspired Framework for Stereo Depth Estimation from Spike Streamscited by 1
- 2025CogStereo: Neural Stereo Matching with Implicit Spatial Cognition Embeddingcited by 1
- 2026UniLiPs: Unified LiDAR Pseudo-Labeling with Geometry-Grounded Dynamic Scene Decompositioncited by 1
- 2024Active Stereo in the Wild through Virtual Pattern Projectioncited by 0
- 2025MIDAS: Modeling Ground-Truth Distributions with Dark Knowledge for Domain Generalized Stereo Matchingcited by 0
- 2025Stextsuperscript2Mtextsuperscript2: Scalable Stereo Matching Model for Reliable Depth Estimationcited by 0
- 2025Preserving Guidance in Cost-Volume Retrieval under Extreme LiDAR Sparsity in Iterative Stereocited by 0
- 2025MatchAttention: Embedding Explicit Matching Constraints into Attention for Efficient Stereo Matchingcited by 0
- 2025SceneProp: Combining Neural Network and Markov Random Field for Scene-Graph Groundingcited by 0
- 2026PixVOD: Pixel-Distributed Direct Visual Odometry and Depth Estimationcited by 0
- 2026StereoFactory: A Unified Merging Framework for Robust Stereo Matchingcited by 0
- 2026LinStereo: Linear-Complexity Global Attention for Multi-Scale Iterative Stereo Matchingcited by 0
- 2026StereoSplat+: Feed-Forward Stereo Gaussian Splatting with Diffusion-Assisted Progressive Inferencecited by 0
- 2026STEREOFLOW: Progressive Stereo Matching with StereoDiT and Transition Flow Matchingcited by 0
- 2026DeepFlow: Two Convergent Differentiable Approaches for Pairwise Conditional Random Fieldscited by 0
- 2026The Midas Touch for Metric Depth: Interpretable Metricization for Generalizable Depth Perceptioncited by 0
- 2026The Midas Touch for Metric Depth: Interpretable Metricization for Generalizable Depth Perception12 Oct 2026
- 2026DeepFlow: Two Convergent Differentiable Approaches for Pairwise Conditional Random Fields12 Oct 2026
- 2026STEREOFLOW: Progressive Stereo Matching with StereoDiT and Transition Flow Matching22 Jul 2026
- 2026StereoSplat+: Feed-Forward Stereo Gaussian Splatting with Diffusion-Assisted Progressive Inference9 Jul 2026
- 2026LinStereo: Linear-Complexity Global Attention for Multi-Scale Iterative Stereo Matching24 Jun 2026
- 2026StereoFactory: A Unified Merging Framework for Robust Stereo Matching16 Jun 2026
- 2026PixVOD: Pixel-Distributed Direct Visual Odometry and Depth Estimation2 Jun 2026
- 2026The Midas Touch for Metric Depth12 May 2026
- 2026SMFormer: Empowering Self-supervised Stereo Matching via Foundation Models and Data Augmentation11 Apr 2026
- 2026WAFT-Stereo: Warping-Alone Field Transforms for Stereo Matching25 Mar 2026
- 2026TruckDrive: Long-Range Autonomous Highway Driving Dataset2 Mar 2026
- 2026UniLiPs: Unified LiDAR Pseudo-Labeling with Geometry-Grounded Dynamic Scene Decomposition8 Jan 2026
28 more
- 2025Fast-FoundationStereo: Real-Time Zero-Shot Stereo Matching11 Dec 2025
- 2025SceneProp: Combining Neural Network and Markov Random Field for Scene-Graph Grounding30 Nov 2025
- 2025CogStereo: Neural Stereo Matching with Implicit Spatial Cognition Embedding25 Oct 2025
- 2025MatchAttention: Embedding Explicit Matching Constraints into Attention for Efficient Stereo Matching16 Oct 2025
- 2025StereoCarla: A High-Fidelity Driving Dataset for Generalizable Stereo16 Sep 2025
- 2025DMS:Diffusion-Based Multi-Baseline Stereo Generation for Improving Self-Supervised Depth Estimation18 Aug 2025
- 2025BridgeDepth: Bridging Monocular and Stereo Reasoning with Latent Alignment6 Aug 2025
- 2025Preserving Guidance in Cost-Volume Retrieval under Extreme LiDAR Sparsity in Iterative Stereo26 Jul 2025
- 2025Stextsuperscript2Mtextsuperscript2: Scalable Stereo Matching Model for Reliable Depth Estimation17 Jul 2025
- 2025SpikeStereoNet: A Brain-Inspired Framework for Stereo Depth Estimation from Spike Streams26 May 2025
- 2025A Wavelet-based Stereo Matching Framework for Solving Frequency Convergence Inconsistency23 May 2025
- 2025Diving into the Fusion of Monocular Priors for Generalized Stereo Matching20 May 2025
- 20253D Visual Illusion Depth Estimation19 May 2025
- 2025What Makes Good Synthetic Training Data for Zero-Shot Stereo Matching?23 Apr 2025
- 2025MIDAS: Modeling Ground-Truth Distributions with Dark Knowledge for Domain Generalized Stereo Matching6 Mar 2025
- 2025BANet: Bilateral Aggregation Network for Mobile Stereo Matching5 Mar 2025
- 2025FoundationStereo: Zero-Shot Stereo Matching17 Jan 2025
- 2025DEFOM-Stereo: Depth Foundation Model Based Stereo Matching16 Jan 2025
- 2025MonSter++: Unified Stereo Matching, Multi-view Stereo, and Real-time Stereo with Monodepth Priors15 Jan 2025
- 2024Stereo Anywhere: Robust Zero-Shot Deep Stereo Matching Even Where Either Stereo or Mono Fail5 Dec 2024
- 2024Helvipad: A Real-World Dataset for Omnidirectional Stereo Depth Estimation27 Nov 2024
- 2024Stereo Anything: Unifying Zero-shot Stereo Matching with Large-Scale Mixed Data21 Nov 2024
- 2024IGEV++: Iterative Multi-range Geometry Encoding Volumes for Stereo Matching1 Sep 2024
- 2024A Survey on Deep Stereo Matching in the Twenties10 Jul 2024
- 2024Imperative Learning: A Self-supervised Neuro-Symbolic Learning Framework for Robot Autonomy23 Jun 2024
- 2024SR-Stereo & DAPE: Stepwise Regression and Pre-trained Edges for Practical Stereo Matching11 Jun 2024
- 2024Active Stereo in the Wild through Virtual Pattern Projection6 Jun 2024
- 2024Playing to Vision Foundation Model's Strengths in Stereo Matching9 Apr 2024
- 2025Fast-FoundationStereo: Real-Time Zero-Shot Stereo Matchingcited by 28
- 2025Fast-FoundationStereo: Real-Time Zero-Shot Stereo Matching11 Dec 2025
- 2025FoundationStereo: Zero-Shot Stereo Matchingcited by 173
- 2024IGEV++: Iterative Multi-range Geometry Encoding Volumes for Stereo Matchingcited by 59
- 2025DEFOM-Stereo: Depth Foundation Model Based Stereo Matchingcited by 52
- 2024Stereo Anywhere: Robust Zero-Shot Deep Stereo Matching Even Where Either Stereo or Mono Failcited by 47
- 2024Playing to Vision Foundation Model's Strengths in Stereo Matchingcited by 23
- 2024A Survey on Deep Stereo Matching in the Twentiescited by 23
- 2025MonSter++: Unified Stereo Matching, Multi-view Stereo, and Real-time Stereo with Monodepth Priorscited by 19
- 2025BridgeDepth: Bridging Monocular and Stereo Reasoning with Latent Alignmentcited by 15
- 2025BANet: Bilateral Aggregation Network for Mobile Stereo Matchingcited by 12
- 2025Diving into the Fusion of Monocular Priors for Generalized Stereo Matchingcited by 10
- 2025What Makes Good Synthetic Training Data for Zero-Shot Stereo Matching?cited by 7
- 2024Helvipad: A Real-World Dataset for Omnidirectional Stereo Depth Estimationcited by 6
12 most cited of 34 All 34 (JSON)
- 2026The Midas Touch for Metric Depth: Interpretable Metricization for Generalizable Depth Perception12 Oct 2026
- 2026DeepFlow: Two Convergent Differentiable Approaches for Pairwise Conditional Random Fields12 Oct 2026
- 2026StereoSplat+: Feed-Forward Stereo Gaussian Splatting with Diffusion-Assisted Progressive Inference9 Jul 2026
- 2026LinStereo: Linear-Complexity Global Attention for Multi-Scale Iterative Stereo Matching24 Jun 2026
- 2026StereoFactory: A Unified Merging Framework for Robust Stereo Matching16 Jun 2026
- 2026PixVOD: Pixel-Distributed Direct Visual Odometry and Depth Estimation2 Jun 2026
- 2026The Midas Touch for Metric Depth12 May 2026
- 2026SMFormer: Empowering Self-supervised Stereo Matching via Foundation Models and Data Augmentation11 Apr 2026
- 2026WAFT-Stereo: Warping-Alone Field Transforms for Stereo Matching25 Mar 2026
- 2026UniLiPs: Unified LiDAR Pseudo-Labeling with Geometry-Grounded Dynamic Scene Decomposition8 Jan 2026
- 2025CogStereo: Neural Stereo Matching with Implicit Spatial Cognition Embedding25 Oct 2025
- 2025MatchAttention: Embedding Explicit Matching Constraints into Attention for Efficient Stereo Matching16 Oct 2025
12 newest of 34 All 34 (JSON)