How do neural networks see depth in single images?
Not on the map. Why?
Abstract (arXiv)
Deep neural networks have lead to a breakthrough in depth estimation from single images. Recent work often focuses on the accuracy of the depth map, where an evaluation on a publicly available test set such as the KITTI vision benchmark is often the main result of the article. While such an evaluation shows how well neural networks can estimate depth, it does not show how they do this. To the best of our knowledge, no work currently exists that analyzes what these networks have learned. In this work we take the MonoDepth network by Godard et al. and investigate what visual cues it exploits for depth estimation. We find that the network ignores the apparent size of known obstacles in favor of their vertical position in the image. Using the vertical position requires the camera pose to be known; however we find that MonoDepth only partially corrects for changes in camera pitch and roll and that these influence the estimated depth towards obstacles. We further show that MonoDepth's use of the vertical image position allows it to estimate the distance towards arbitrary obstacles, even those not appearing in the training set, but that it requires a strong edge at the ground contact point of the object to do so. In future work we will investigate whether these observations also apply to other neural networks for monocular depth estimation.
Key facts. Cited by 82 papers in the map (data through 7 Oct 2026). First posted on arXiv 16 May 2019.
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Citing papers per year: 2021: 17; 2022: 20; 2023: 22; 2024: 18; 2025: 4; 2026: 1.
82 papers.
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- 2021Geometry Uncertainty Projection Network for Monocular 3D Object Detectioncited by 155
- 2022Multi-Frame Self-Supervised Depth with Transformerscited by 64
- 2022Global-Local Path Networks for Monocular Depth Estimation with Vertical CutDepthcited by 58
- 2022STS: Surround-view Temporal Stereo for Multi-view 3D Detectioncited by 53
- 2021Virtual Normal: Enforcing Geometric Constraints for Accurate and Robust Depth Predictioncited by 48
- 2021Excavating the Potential Capacity of Self-Supervised Monocular Depth Estimationcited by 48
- 2021Self-supervised Monocular Depth Estimation for All Day Images using Domain Separationcited by 44
- 2021Toward Practical Monocular Indoor Depth Estimationcited by 42
- 2022DID-M3D: Decoupling Instance Depth for Monocular 3D Object Detectioncited by 39
- 2023Object as Query: Lifting any 2D Object Detector to 3D Detectioncited by 38
- 2024MonoCD: Monocular 3D Object Detection with Complementary Depthscited by 38
- 2025Depth Any Camera: Zero-Shot Metric Depth Estimation from Any Cameracited by 38
38 more
- 2021Single Image Depth Estimation: An Overviewcited by 35
- 2022Graph-DETR3D: Rethinking Overlapping Regions for Multi-View 3D Object Detectioncited by 35
- 2021YOLOStereo3D: A Step Back to 2D for Efficient Stereo 3D Detectioncited by 34
- 2022Deep Depth Completion from Extremely Sparse Data: A Surveycited by 33
- 2023Self-supervised Monocular Depth Estimation: Let's Talk About The Weathercited by 33
- 2022PlaneDepth: Self-supervised Depth Estimation via Orthogonal Planescited by 32
- 2023GEDepth: Ground Embedding for Monocular Depth Estimationcited by 26
- 2024Depth Prompting for Sensor-Agnostic Depth Estimationcited by 26
- 2021Near-field Perception for Low-Speed Vehicle Automation using Surround-view Fisheye Camerascited by 24
- 2022MUAD: Multiple Uncertainties for Autonomous Driving, a benchmark for multiple uncertainty types and taskscited by 24
- 2024MonoDGP: Monocular 3D Object Detection with Decoupled-Query and Geometry-Error Priorscited by 21
- 2021Learning Depth via Leveraging Semantics: Self-supervised Monocular Depth Estimation with Both Implicit and Explicit Semantic Guidancecited by 19
- 2021Exploring Geometric Consistency for Monocular 3D Object Detectioncited by 17
- 2021Stereoscopic Universal Perturbations across Different Architectures and Datasetscited by 17
- 2022Latent Discriminant deterministic Uncertaintycited by 17
- 2023LightDepth: Single-View Depth Self-Supervision from Illumination Declinecited by 17
- 2023URCDC-Depth: Uncertainty Rectified Cross-Distillation with CutFlip for Monocular Depth Estimationcited by 16
- 2023Lift3D: Synthesize 3D Training Data by Lifting 2D GAN to 3D Generative Radiance Fieldcited by 15
- 2024Deep Learning-based Depth Estimation Methods from Monocular Image and Videos: A Comprehensive Surveycited by 15
- 2023Self-Supervised Monocular Depth Estimation by Direction-aware Cumulative Convolution Networkcited by 14
- 2023From-Ground-To-Objects: Coarse-to-Fine Self-supervised Monocular Depth Estimation of Dynamic Objects with Ground Contact Priorcited by 13
- 2021Towards Interpretable Deep Networks for Monocular Depth Estimationcited by 12
- 2023SuperPrimitive: Scene Reconstruction at a Primitive Levelcited by 11
- 2023Delving Deep into Pixel Alignment Feature for Accurate Multi-view Human Mesh Recoverycited by 10
- 2023MoGDE: Boosting Mobile Monocular 3D Object Detection with Ground Depth Estimationcited by 9
- 2021THE Benchmark: Transferable Representation Learning for Monocular Height Estimationcited by 8
- 2021On the Sins of Image Synthesis Loss for Self-supervised Depth Estimationcited by 7
- 2023MonoEdge: Monocular 3D Object Detection Using Local Perspectivescited by 6
- 2023Neural Voting Field for Camera-Space 3D Hand Pose Estimationcited by 6
- 2024GroCo: Ground Constraint for Metric Self-Supervised Monocular Depthcited by 6
- 2023GUPNet++: Geometry Uncertainty Propagation Network for Monocular 3D Object Detectioncited by 5
- 2022"The Pedestrian next to the Lamppost" Adaptive Object Graphs for Better Instantaneous Mappingcited by 4
- 2022Monocular Depth Estimation Using Cues Inspired by Biological Vision Systemscited by 4
- 2022Dense Depth Distillation with Out-of-Distribution Simulated Imagescited by 4
- 2023A Study on the Generality of Neural Network Structures for Monocular Depth Estimationcited by 4
- 2024Self-Supervised Monocular Depth Estimation in the Dark: Towards Data Distribution Compensationcited by 4
- 2025Enhancing Monocular Height Estimation via Sparse LiDAR-Guided Correctioncited by 4
- 2025ETA: Energy-based Test-time Adaptation for Depth Completioncited by 4
50 most cited of 82 All 82 (JSON)
- 2026Improved monocular depth prediction using distance transform over pre-semantic contours with self-supervised neural networks8 May 2026
- 2025CHARM3R: Towards Unseen Camera Height Robust Monocular 3D Detector15 Aug 2025
- 2025ETA: Energy-based Test-time Adaptation for Depth Completion8 Aug 2025
- 2025Enhancing Monocular Height Estimation via Sparse LiDAR-Guided Correction11 May 2025
- 2025Depth Any Camera: Zero-Shot Metric Depth Estimation from Any Camera5 Jan 2025
- 2024GVDepth: Zero-Shot Monocular Depth Estimation for Ground Vehicles based on Probabilistic Cue Fusion8 Dec 2024
- 2024Optical Lens Attack on Monocular Depth Estimation for Autonomous Driving31 Oct 2024
- 2024MonoDGP: Monocular 3D Object Detection with Decoupled-Query and Geometry-Error Priors25 Oct 2024
- 2024Overpredictive Signal Analytics in Federated Learning: Algorithms and Analysis2 Oct 2024
- 2024ViewpointDepth: A New Dataset for Monocular Depth Estimation Under Viewpoint Shifts26 Sep 2024
- 2024Optical Lens Attack on Deep Learning Based Monocular Depth Estimation25 Sep 2024
- 2024GroCo: Ground Constraint for Metric Self-Supervised Monocular Depth23 Sep 2024
38 more
- 2024ORB-SfMLearner: ORB-Guided Self-supervised Visual Odometry with Selective Online Adaptation18 Sep 2024
- 2024High-Precision Self-Supervised Monocular Depth Estimation with Rich-Resource Prior1 Aug 2024
- 2024Deep Learning-based Depth Estimation Methods from Monocular Image and Videos: A Comprehensive Survey28 Jun 2024
- 2024Depth Prompting for Sensor-Agnostic Depth Estimation20 May 2024
- 2024Survey on Datasets for Perception in Unstructured Outdoor Environments29 Apr 2024
- 2024Self-Supervised Monocular Depth Estimation in the Dark: Towards Data Distribution Compensation22 Apr 2024
- 2024MonoCD: Monocular 3D Object Detection with Complementary Depths4 Apr 2024
- 2024The Devil is in the Edges: Monocular Depth Estimation with Edge-aware Consistency Fusion30 Mar 2024
- 2024Deep Bayesian Future Fusion for Self-Supervised, High-Resolution, Off-Road Mapping18 Mar 2024
- 2024Scalable Vision-Based 3D Object Detection and Monocular Depth Estimation for Autonomous Driving4 Mar 2024
- 2024NeRFmentation: NeRF-based Augmentation for Monocular Depth Estimation8 Jan 2024
- 2023From-Ground-To-Objects: Coarse-to-Fine Self-supervised Monocular Depth Estimation of Dynamic Objects with Ground Contact Prior15 Dec 2023
- 2023GenDepth: Generalizing Monocular Depth Estimation for Arbitrary Camera Parameters via Ground Plane Embedding10 Dec 2023
- 2023SuperPrimitive: Scene Reconstruction at a Primitive Level10 Dec 2023
- 2023Depth Insight -- Contribution of Different Features to Indoor Single-image Depth Estimation16 Nov 2023
- 2023GUPNet++: Geometry Uncertainty Propagation Network for Monocular 3D Object Detection24 Oct 2023
- 2023GEDepth: Ground Embedding for Monocular Depth Estimation18 Sep 2023
- 2023TSTTC: A Large-Scale Dataset for Time-to-Contact Estimation in Driving Scenarios4 Sep 2023
- 2023LightDepth: Single-View Depth Self-Supervision from Illumination Decline21 Aug 2023
- 2023Self-Supervised Monocular Depth Estimation by Direction-aware Cumulative Convolution Network10 Aug 2023
- 2023Motion Degeneracy in Self-supervised Learning of Elevation Angle Estimation for 2D Forward-Looking Sonar30 Jul 2023
- 2023Self-supervised Monocular Depth Estimation: Let's Talk About The Weather17 Jul 2023
- 2023Background Prompting for Improved Object Depth8 Jun 2023
- 2023Meta-Optimization for Higher Model Generalizability in Single-Image Depth Prediction12 May 2023
- 2023Neural Voting Field for Camera-Space 3D Hand Pose Estimation7 May 2023
- 2023Lift3D: Synthesize 3D Training Data by Lifting 2D GAN to 3D Generative Radiance Field7 Apr 2023
- 2023MoGDE: Boosting Mobile Monocular 3D Object Detection with Ground Depth Estimation23 Mar 2023
- 2023GlocalFuse-Depth: Fusing Transformers and CNNs for All-day Self-supervised Monocular Depth Estimation20 Feb 2023
- 2023URCDC-Depth: Uncertainty Rectified Cross-Distillation with CutFlip for Monocular Depth Estimation16 Feb 2023
- 2023Delving Deep into Pixel Alignment Feature for Accurate Multi-view Human Mesh Recovery15 Jan 2023
- 2023A Study on the Generality of Neural Network Structures for Monocular Depth Estimation9 Jan 2023
- 2023Object as Query: Lifting any 2D Object Detector to 3D Detection6 Jan 2023
- 2023MonoEdge: Monocular 3D Object Detection Using Local Perspectives4 Jan 2023
- 2022MaskingDepth: Masked Consistency Regularization for Semi-supervised Monocular Depth Estimation21 Dec 2022
- 2022PlaneDepth: Self-supervised Depth Estimation via Orthogonal Planes4 Oct 2022
- 2022Lightweight Monocular Depth Estimation with an Edge Guided Network29 Sep 2022
- 2022Dense Depth Distillation with Out-of-Distribution Simulated Images26 Aug 2022
- 2022STS: Surround-view Temporal Stereo for Multi-view 3D Detection22 Aug 2022
50 newest of 82 All 82 (JSON)
- 2021Geometry Uncertainty Projection Network for Monocular 3D Object Detectioncited by 155
- 2022Multi-Frame Self-Supervised Depth with Transformerscited by 64
- 2022Global-Local Path Networks for Monocular Depth Estimation with Vertical CutDepthcited by 58
- 2022STS: Surround-view Temporal Stereo for Multi-view 3D Detectioncited by 53
- 2021Virtual Normal: Enforcing Geometric Constraints for Accurate and Robust Depth Predictioncited by 48
- 2021Excavating the Potential Capacity of Self-Supervised Monocular Depth Estimationcited by 48
- 2021Self-supervised Monocular Depth Estimation for All Day Images using Domain Separationcited by 44
- 2021Toward Practical Monocular Indoor Depth Estimationcited by 42
- 2022DID-M3D: Decoupling Instance Depth for Monocular 3D Object Detectioncited by 39
- 2023Object as Query: Lifting any 2D Object Detector to 3D Detectioncited by 38
- 2024MonoCD: Monocular 3D Object Detection with Complementary Depthscited by 38
- 2025Depth Any Camera: Zero-Shot Metric Depth Estimation from Any Cameracited by 38
12 most cited of 82 All 82 (JSON)
- 2026Improved monocular depth prediction using distance transform over pre-semantic contours with self-supervised neural networks8 May 2026
- 2025CHARM3R: Towards Unseen Camera Height Robust Monocular 3D Detector15 Aug 2025
- 2025ETA: Energy-based Test-time Adaptation for Depth Completion8 Aug 2025
- 2025Enhancing Monocular Height Estimation via Sparse LiDAR-Guided Correction11 May 2025
- 2025Depth Any Camera: Zero-Shot Metric Depth Estimation from Any Camera5 Jan 2025
- 2024GVDepth: Zero-Shot Monocular Depth Estimation for Ground Vehicles based on Probabilistic Cue Fusion8 Dec 2024
- 2024Optical Lens Attack on Monocular Depth Estimation for Autonomous Driving31 Oct 2024
- 2024MonoDGP: Monocular 3D Object Detection with Decoupled-Query and Geometry-Error Priors25 Oct 2024
- 2024Overpredictive Signal Analytics in Federated Learning: Algorithms and Analysis2 Oct 2024
- 2024ViewpointDepth: A New Dataset for Monocular Depth Estimation Under Viewpoint Shifts26 Sep 2024
- 2024Optical Lens Attack on Deep Learning Based Monocular Depth Estimation25 Sep 2024
- 2024GroCo: Ground Constraint for Metric Self-Supervised Monocular Depth23 Sep 2024
12 newest of 82 All 82 (JSON)