Learning Depth with Convolutional Spatial Propagation Network
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Abstract (arXiv)
Depth prediction is one of the fundamental problems in computer vision. In this paper, we propose a simple yet effective convolutional spatial propagation network (CSPN) to learn the affinity matrix for various depth estimation tasks. Specifically, it is an efficient linear propagation model, in which the propagation is performed with a manner of recurrent convolutional operation, and the affinity among neighboring pixels is learned through a deep convolutional neural network (CNN). We can append this module to any output from a state-of-the-art (SOTA) depth estimation networks to improve their performances. In practice, we further extend CSPN in two aspects: 1) take sparse depth map as additional input, which is useful for the task of depth completion; 2) similar to commonly used 3D convolution operation in CNNs, we propose 3D CSPN to handle features with one additional dimension, which is effective in the task of stereo matching using 3D cost volume. For the tasks of sparse to dense, a.k.a depth completion. We experimented the proposed CPSN conjunct algorithms over the popular NYU v2 and KITTI datasets, where we show that our proposed algorithms not only produce high quality (e.g., 30% more reduction in depth error), but also run faster (e.g., 2 to 5x faster) than previous SOTA spatial propagation network. We also evaluated our stereo matching algorithm on the Scene Flow and KITTI Stereo datasets, and rank 1st on both the KITTI Stereo 2012 and 2015 benchmarks, which demonstrates the effectiveness of the proposed module. The code of CSPN proposed in this work will be released at https://github.com/XinJCheng/CSPN.
Key facts. Cited by 135 papers in the map (data through 7 Oct 2026). First posted on arXiv 4 Oct 2018.
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Citing papers per year: 2021: 23; 2022: 24; 2023: 21; 2024: 36; 2025: 21; 2026: 10.
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- 2021RAFT-Stereo: Multilevel Recurrent Field Transforms for Stereo Matchingcited by 348
- 2021Dense Depth Priors for Neural Radiance Fields from Sparse Input Viewscited by 301
- 2021The Temporal Opportunist: Self-Supervised Multi-Frame Monocular Depthcited by 190
- 2023Iterative Geometry Encoding Volume for Stereo Matchingcited by 188
- 2022NeRF: Neural Radiance Field in 3D Vision: A Comprehensive Review (Updated Post-Gaussian Splatting)cited by 156
- 2021CFNet: Cascade and Fused Cost Volume for Robust Stereo Matchingcited by 153
- 2022SimpleRecon: 3D Reconstruction Without 3D Convolutionscited by 83
- 2021RigNet: Repetitive Image Guided Network for Depth Completioncited by 80
- 2024Prompting Depth Anything for 4K Resolution Accurate Metric Depth Estimationcited by 73
- 2022Dynamic Spatial Propagation Network for Depth Completioncited by 70
- 2022Accurate and Efficient Stereo Matching via Attention Concatenation Volumecited by 59
- 2024Bilateral Propagation Network for Depth Completioncited by 59
38 more
- 2021Virtual Normal: Enforcing Geometric Constraints for Accurate and Robust Depth Predictioncited by 48
- 2023LRRU: Long-short Range Recurrent Updating Networks for Depth Completioncited by 48
- 2021Correlate-and-Excite: Real-Time Stereo Matching via Guided Cost Volume Excitationcited by 47
- 2022Towards Accurate Reconstruction of 3D Scene Shape from A Single Monocular Imagecited by 42
- 2024Tri-Perspective View Decomposition for Geometry-Aware Depth Completioncited by 42
- 2024Neural Markov Random Field for Stereo Matchingcited by 38
- 2023Learning Depth Estimation for Transparent and Mirror Surfacescited by 34
- 2022Deep Depth Completion from Extremely Sparse Data: A Surveycited by 33
- 2021Local Similarity Pattern and Cost Self-Reassembling for Deep Stereo Matching Networkscited by 32
- 2025Depth Anything with Any Priorcited by 32
- 2024NeSLAM: Neural Implicit Mapping and Self-Supervised Feature Tracking With Depth Completion and Denoisingcited by 29
- 2024LightStereo: Channel Boost Is All You Need for Efficient 2D Cost Aggregationcited by 28
- 2024OMNI-DC: Highly Robust Depth Completion with Multiresolution Depth Integrationcited by 28
- 2022DesNet: Decomposed Scale-Consistent Network for Unsupervised Depth Completioncited by 27
- 2021BIPS: Bi-modal Indoor Panorama Synthesis via Residual Depth-aided Adversarial Learningcited by 26
- 2025MVSAnywhere: Zero-Shot Multi-View Stereocited by 26
- 2021Depth Completion using Plane-Residual Representationcited by 24
- 2022Multi-Modal Masked Pre-Training for Monocular Panoramic Depth Completioncited by 23
- 2022SemAttNet: Towards Attention-based Semantic Aware Guided Depth Completioncited by 23
- 2024OGNI-DC: Robust Depth Completion with Optimization-Guided Neural Iterationscited by 23
- 2024A Survey on Deep Stereo Matching in the Twentiescited by 23
- 2023Digging Into Uncertainty-based Pseudo-label for Robust Stereo Matchingcited by 22
- 2021Deep Depth from Focus with Differential Focus Volumecited by 20
- 2023MACARONS: Mapping And Coverage Anticipation with RGB Online Self-Supervisioncited by 18
- 2023Revisiting Depth Completion from a Stereo Matching Perspective for Cross-domain Generalizationcited by 18
- 2022Improving Monocular Visual Odometry Using Learned Depthcited by 17
- 2023CGI-Stereo: Accurate and Real-Time Stereo Matching via Context and Geometry Interactioncited by 17
- 2024Robust Synthetic-to-Real Transfer for Stereo Matchingcited by 15
- 2025BridgeDepth: Bridging Monocular and Stereo Reasoning with Latent Alignmentcited by 15
- 2023Learnable Differencing Center for Nighttime Depth Perceptioncited by 14
- 2024DORNet: A Degradation Oriented and Regularized Network for Blind Depth Super-Resolutioncited by 14
- 2025Distilling Monocular Foundation Model for Fine-grained Depth Completioncited by 14
- 2022TemporalStereo: Efficient Spatial-Temporal Stereo Matching Networkcited by 12
- 2023G2-MonoDepth: A General Framework of Generalized Depth Inference from Monocular RGB+X Datacited by 12
- 2024CaFNet: A Confidence-Driven Framework for Radar Camera Depth Estimationcited by 12
- 2024Completion as Enhancement: A Degradation-Aware Selective Image Guided Network for Depth Completioncited by 12
- 2022Towards 3D Scene Reconstruction from Locally Scale-Aligned Monocular Video Depthcited by 11
- 2023RigNet++: Semantic Assisted Repetitive Image Guided Network for Depth Completioncited by 11
50 most cited of 135 All 135 (JSON)
- 2026VisTa3D: A Dataset and Benchmark for Thin Object Reconstruction from Vision, Tactile, and 3D Point Clouds21 Aug 2026
- 2026Dense Metric Depth Completion from Sparse Direct Time-of-Flight Sensors5 Aug 2026
- 2026DeGuNet: Depth-Guided Ultra-Compact Backbones for Efficient LiDAR-Camera 3D Detection14 Jul 2026
- 2026The Multipath Blind Spot: K-Agnostic Robust Calibration for Sparse-Anchor Metric Depth from Frozen Foundations5 Jul 2026
- 2026Large Depth Completion Model from Sparse Observations28 May 2026
- 2026Any to Full: Prompting Depth Anything for Depth Completion in One Stage5 Mar 2026
- 2026Depth Completion as Parameter-Efficient Test-Time Adaptation16 Feb 2026
- 2026MetricAnything: Scaling Metric Depth Pretraining with Noisy Heterogeneous Sources29 Jan 2026
- 2026Gaussian Belief Propagation Network for Depth Completion29 Jan 2026
- 2026Bayesian Monocular Depth Refinement via Neural Radiance Fields7 Jan 2026
- 2025S2ML: Spatio-Spectral Mutual Learning for Depth Completion8 Nov 2025
- 2025Learnable Fractional Reaction-Diffusion Dynamics for Under-Display ToF Imaging and Beyond3 Nov 2025
38 more
- 2025DEPTHOR++: Robust Depth Enhancement from a Real-World Lightweight dToF and RGB Guidance30 Sep 2025
- 2025DualFocus: Depth from Focus with Spatio-Focal Dual Variational Constraints26 Sep 2025
- 2025BridgeDepth: Bridging Monocular and Stereo Reasoning with Latent Alignment6 Aug 2025
- 2025Training Self-Supervised Depth Completion Using Sparse Measurements and a Single Image20 Jul 2025
- 2025PacGDC: Label-Efficient Generalizable Depth Completion with Projection Ambiguity and Consistency10 Jul 2025
- 2025ESMStereo: Enhanced ShuffleMixer Disparity Upsampling for Real-Time and Accurate Stereo Matching26 Jun 2025
- 2025DCIRNet: Depth Completion with Iterative Refinement for Dexterous Grasping of Transparent and Reflective Objects11 Jun 2025
- 2025NTIRE 2025 Challenge on HR Depth from Images of Specular and Transparent Surfaces6 Jun 2025
- 2025Structure-Aware Radar-Camera Depth Estimation5 Jun 2025
- 2025Perfecting Depth: Uncertainty-Aware Enhancement of Metric Depth5 Jun 2025
- 2025Event-Driven Dynamic Scene Depth Completion19 May 2025
- 2025Depth Anything with Any Prior15 May 2025
- 2025DEPTHOR: Depth Enhancement from a Practical Light-Weight dToF Sensor and RGB Image2 Apr 2025
- 2025DenseFormer: Learning Dense Depth Map from Sparse Depth and Image via Conditional Diffusion Model31 Mar 2025
- 2025MVSAnywhere: Zero-Shot Multi-View Stereo28 Mar 2025
- 2025LeanStereo: A Leaner Backbone based Stereo Network24 Mar 2025
- 2025Distilling Monocular Foundation Model for Fine-grained Depth Completion21 Mar 2025
- 2025Learning Inverse Laplacian Pyramid for Progressive Depth Completion11 Feb 2025
- 2025Zero-shot Depth Completion via Test-time Alignment with Affine-invariant Depth Prior10 Feb 2025
- 2024Completion as Enhancement: A Degradation-Aware Selective Image Guided Network for Depth Completion26 Dec 2024
- 2024LiRCDepth: Lightweight Radar-Camera Depth Estimation via Knowledge Distillation and Uncertainty Guidance20 Dec 2024
- 2024Prompting Depth Anything for 4K Resolution Accurate Metric Depth Estimation18 Dec 2024
- 2024OMNI-DC: Highly Robust Depth Completion with Multiresolution Depth Integration28 Nov 2024
- 2024CFPNet: Improving Lightweight ToF Depth Completion via Cross-zone Feature Propagation7 Nov 2024
- 2024Scale Propagation Network for Generalizable Depth Completion24 Oct 2024
- 2024DORNet: A Degradation Oriented and Regularized Network for Blind Depth Super-Resolution15 Oct 2024
- 2024Depth on Demand: Streaming Dense Depth from a Low Frame Rate Active Sensor12 Sep 2024
- 2024SDformer: Efficient End-to-End Transformer for Depth Completion12 Sep 2024
- 2024Incorporating dense metric depth into neural 3D representations for view synthesis and relighting4 Sep 2024
- 2024GET-UP: GEomeTric-aware Depth Estimation with Radar Points UPsampling2 Sep 2024
- 2024Unsupervised Stereo Matching Network For VHR Remote Sensing Images Based On Error Prediction14 Aug 2024
- 2024LiDAR-Event Stereo Fusion with Hallucinations8 Aug 2024
- 2024A Survey on Deep Stereo Matching in the Twenties10 Jul 2024
- 2024CaFNet: A Confidence-Driven Framework for Radar Camera Depth Estimation30 Jun 2024
- 2024LightStereo: Channel Boost Is All You Need for Efficient 2D Cost Aggregation28 Jun 2024
- 2024DoubleTake: Geometry Guided Depth Estimation26 Jun 2024
- 2024OGNI-DC: Robust Depth Completion with Optimization-Guided Neural Iterations17 Jun 2024
- 2024A Two-Stage Masked Autoencoder Based Network for Indoor Depth Completion14 Jun 2024
50 newest of 135 All 135 (JSON)
- 2021RAFT-Stereo: Multilevel Recurrent Field Transforms for Stereo Matchingcited by 348
- 2021Dense Depth Priors for Neural Radiance Fields from Sparse Input Viewscited by 301
- 2021The Temporal Opportunist: Self-Supervised Multi-Frame Monocular Depthcited by 190
- 2023Iterative Geometry Encoding Volume for Stereo Matchingcited by 188
- 2022NeRF: Neural Radiance Field in 3D Vision: A Comprehensive Review (Updated Post-Gaussian Splatting)cited by 156
- 2021CFNet: Cascade and Fused Cost Volume for Robust Stereo Matchingcited by 153
- 2022SimpleRecon: 3D Reconstruction Without 3D Convolutionscited by 83
- 2021RigNet: Repetitive Image Guided Network for Depth Completioncited by 80
- 2024Prompting Depth Anything for 4K Resolution Accurate Metric Depth Estimationcited by 73
- 2022Dynamic Spatial Propagation Network for Depth Completioncited by 70
- 2022Accurate and Efficient Stereo Matching via Attention Concatenation Volumecited by 59
- 2024Bilateral Propagation Network for Depth Completioncited by 59
12 most cited of 133 All 133 (JSON)
- 2026VisTa3D: A Dataset and Benchmark for Thin Object Reconstruction from Vision, Tactile, and 3D Point Clouds21 Aug 2026
- 2026Dense Metric Depth Completion from Sparse Direct Time-of-Flight Sensors5 Aug 2026
- 2026DeGuNet: Depth-Guided Ultra-Compact Backbones for Efficient LiDAR-Camera 3D Detection14 Jul 2026
- 2026The Multipath Blind Spot: K-Agnostic Robust Calibration for Sparse-Anchor Metric Depth from Frozen Foundations5 Jul 2026
- 2026Large Depth Completion Model from Sparse Observations28 May 2026
- 2026Any to Full: Prompting Depth Anything for Depth Completion in One Stage5 Mar 2026
- 2026Depth Completion as Parameter-Efficient Test-Time Adaptation16 Feb 2026
- 2026MetricAnything: Scaling Metric Depth Pretraining with Noisy Heterogeneous Sources29 Jan 2026
- 2026Gaussian Belief Propagation Network for Depth Completion29 Jan 2026
- 2026Bayesian Monocular Depth Refinement via Neural Radiance Fields7 Jan 2026
- 2025S2ML: Spatio-Spectral Mutual Learning for Depth Completion8 Nov 2025
- 2025Learnable Fractional Reaction-Diffusion Dynamics for Under-Display ToF Imaging and Beyond3 Nov 2025
12 newest of 133 All 133 (JSON)