Estimating Depth from Monocular Images as Classification Using Deep Fully Convolutional Residual Networks
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Abstract (arXiv)
Depth estimation from single monocular images is a key component of scene understanding and has benefited largely from deep convolutional neural networks (CNN) recently. In this article, we take advantage of the recent deep residual networks and propose a simple yet effective approach to this problem. We formulate depth estimation as a pixel-wise classification task. Specifically, we first discretize the continuous depth values into multiple bins and label the bins according to their depth range. Then we train fully convolutional deep residual networks to predict the depth label of each pixel. Performing discrete depth label classification instead of continuous depth value regression allows us to predict a confidence in the form of probability distribution. We further apply fully-connected conditional random fields (CRF) as a post processing step to enforce local smoothness interactions, which improves the results. We evaluate our approach on both indoor and outdoor datasets and achieve state-of-the-art performance.
Key facts. Cited by 91 papers in the map (data through 14 Oct 2026). First posted on arXiv 8 May 2016.
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Citing papers per year: 2021: 19; 2022: 17; 2023: 28; 2024: 16; 2025: 5; 2026: 6.
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- 2023LanguageBind: Extending Video-Language Pretraining to N-modality by Language-based Semantic Alignmentcited by 370
- 2023The Surprising Effectiveness of Diffusion Models for Optical Flow and Monocular Depth Estimationcited by 116
- 2024Flash3D: Feed-Forward Generalisable 3D Scene Reconstruction from a Single Imagecited by 116
- 2022P3Depth: Monocular Depth Estimation with a Piecewise Planarity Priorcited by 107
- 2023Monocular Depth Estimation using Diffusion Modelscited by 87
- 2023iDisc: Internal Discretization for Monocular Depth Estimationcited by 73
- 2021Self-Supervised Monocular Depth and Ego-Motion Estimation in Endoscopy: Appearance Flow to the Rescuecited by 72
- 2023IEBins: Iterative Elastic Bins for Monocular Depth Estimationcited by 54
- 2021Virtual Normal: Enforcing Geometric Constraints for Accurate and Robust Depth Predictioncited by 48
- 2021Multi-View Depth Estimation by Fusing Single-View Depth Probability with Multi-View Geometrycited by 46
- 2023Improving Deep Regression with Ordinal Entropycited by 45
- 2023NDDepth: Normal-Distance Assisted Monocular Depth Estimationcited by 45
38 more
- 2021Single Image Depth Estimation: An Overviewcited by 35
- 2022BiFuse++: Self-supervised and Efficient Bi-projection Fusion for 360 Depth Estimationcited by 35
- 2023BEVNeXt: Reviving Dense BEV Frameworks for 3D Object Detectioncited by 35
- 2022Deep Depth Completion from Extremely Sparse Data: A Surveycited by 33
- 2021BridgeNet: A Joint Learning Network of Depth Map Super-Resolution and Monocular Depth Estimationcited by 31
- 2022Less is More: Consistent Video Depth Estimation with Masked Frames Modelingcited by 30
- 2022IronDepth: Iterative Refinement of Single-View Depth using Surface Normal and its Uncertaintycited by 30
- 2023Zero-Shot Metric Depth with a Field-of-View Conditioned Diffusion Modelcited by 29
- 2022UDepth: Fast Monocular Depth Estimation for Visually-guided Underwater Robotscited by 27
- 2024Hierarchical Classification Auxiliary Network for Time Series Forecastingcited by 26
- 2021Monocular Depth Estimation through Virtual-world Supervision and Real-world SfM Self-Supervisioncited by 24
- 2022Controllable Shadow Generation Using Pixel Height Mapscited by 22
- 2023PanelNet: Understanding 360 Indoor Environment via Panel Representationcited by 19
- 2025DepthMaster: Taming Diffusion Models for Monocular Depth Estimationcited by 19
- 2022GLPanoDepth: Global-to-Local Panoramic Depth Estimationcited by 16
- 2025Vision-Language Embodiment for Monocular Depth Estimationcited by 16
- 2022360 Depth Estimation in the Wild -- The Depth360 Dataset and the SegFuse Networkcited by 15
- 2024Deep Learning-based Depth Estimation Methods from Monocular Image and Videos: A Comprehensive Surveycited by 15
- 2024ScaleDepth: Decomposing Metric Depth Estimation into Scale Prediction and Relative Depth Estimationcited by 15
- 2021Mirror3D: Depth Refinement for Mirror Surfacescited by 13
- 2023MonoDiffusion: Self-Supervised Monocular Depth Estimation Using Diffusion Modelcited by 13
- 2024DCPI-Depth: Explicitly Infusing Dense Correspondence Prior to Unsupervised Monocular Depth Estimationcited by 13
- 2022MonoIndoor++:Towards Better Practice of Self-Supervised Monocular Depth Estimation for Indoor Environmentscited by 12
- 2024DCDepth: Progressive Monocular Depth Estimation in Discrete Cosine Domaincited by 12
- 2024Ensuring UAV Safety: A Vision-only and Real-time Framework for Collision Avoidance Through Object Detection, Tracking, and Distance Estimationcited by 11
- 2021Generic Perceptual Loss for Modeling Structured Output Dependenciescited by 9
- 2022PanoDepth: A Two-Stage Approach for Monocular Omnidirectional Depth Estimationcited by 9
- 2023Embodied Concept Learner: Self-supervised Learning of Concepts and Mapping through Instruction Followingcited by 9
- 2023WS-SfMLearner: Self-supervised Monocular Depth and Ego-motion Estimation on Surgical Videos with Unknown Camera Parameterscited by 9
- 2023Deep Imbalanced Regression via Hierarchical Classification Adjustmentcited by 9
- 2023NDDepth: Normal-Distance Assisted Monocular Depth Estimation and Completioncited by 9
- 2023A geometry-aware deep network for depth estimation in monocular endoscopycited by 8
- 2023Defocus to focus: Photo-realistic bokeh rendering by fusing defocus and radiance priorscited by 8
- 2021Self-supervised Depth Estimation Leveraging Global Perception and Geometric Smoothness Using On-board Videoscited by 7
- 2021Towards Comprehensive Monocular Depth Estimation: Multiple Heads Are Better Than Onecited by 7
- 2021NVS-MonoDepth: Improving Monocular Depth Prediction with Novel View Synthesiscited by 7
- 2022Vision-Based Environmental Perception for Autonomous Drivingcited by 7
- 2023Depth Estimation and Image Restoration by Deep Learning from Defocused Imagescited by 7
50 most cited of 91 All 91 (JSON)
- 2026Monocular Depth Estimation from a Single Image: Progress and Opportunities1 Sep 2026
- 2026FeDepth: Federated Learning for Depth Estimation under Robot Heterogeneity2 Aug 2026
- 2026DrivingDepth: Sparse-Prompted Pixel-wise Scale Correction for Driving Depth Estimation30 Jun 2026
- 2026EmergentBridge: Improving Zero-Shot Cross-Modal Transfer in Unified Multimodal Embedding Models13 Apr 2026
- 2026DeepSight: Bridging Depth Maps and Language with a Depth-Driven Multimodal Model6 Mar 2026
- 2026Atomic Depth Estimation From Noisy Electron Microscopy Data Via Deep Learning20 Jan 2026
- 2025Discriminately Treating Motion Components Evolves Joint Depth and Ego-Motion Learning3 Nov 2025
- 2025Endoscopic Depth Estimation Based on Deep Learning: A Survey28 Jul 2025
- 2025StixelNExT++: Lightweight Monocular Scene Segmentation and Representation for Collective Perception9 Jul 2025
- 2025Vision-Language Embodiment for Monocular Depth Estimation18 Mar 2025
- 2025DepthMaster: Taming Diffusion Models for Monocular Depth Estimation5 Jan 2025
- 2024MetricDepth: Enhancing Monocular Depth Estimation with Deep Metric Learning29 Dec 2024
38 more
- 2024DCDepth: Progressive Monocular Depth Estimation in Discrete Cosine Domain19 Oct 2024
- 2024EndoDepth: A Benchmark for Assessing Robustness in Endoscopic Depth Prediction30 Sep 2024
- 2024ScaleDepth: Decomposing Metric Depth Estimation into Scale Prediction and Relative Depth Estimation11 Jul 2024
- 2024SCIPaD: Incorporating Spatial Clues into Unsupervised Pose-Depth Joint Learning7 Jul 2024
- 2024Deep Learning-based Depth Estimation Methods from Monocular Image and Videos: A Comprehensive Survey28 Jun 2024
- 2024CT3D++: Improving 3D Object Detection with Keypoint-induced Channel-wise Transformer12 Jun 2024
- 2024UVCPNet: A UAV-Vehicle Collaborative Perception Network for 3D Object Detection7 Jun 2024
- 2024Flash3D: Feed-Forward Generalisable 3D Scene Reconstruction from a Single Image6 Jun 2024
- 2024Hierarchical Classification Auxiliary Network for Time Series Forecasting29 May 2024
- 2024Consistency Regularisation for Unsupervised Domain Adaptation in Monocular Depth Estimation27 May 2024
- 2024DCPI-Depth: Explicitly Infusing Dense Correspondence Prior to Unsupervised Monocular Depth Estimation27 May 2024
- 2024Ensuring UAV Safety: A Vision-only and Real-time Framework for Collision Avoidance Through Object Detection, Tracking, and Distance Estimation10 May 2024
- 2024Promoting CNNs with Cross-Architecture Knowledge Distillation for Efficient Monocular Depth Estimation25 Apr 2024
- 2024Adaptive Discrete Disparity Volume for Self-supervised Monocular Depth Estimation4 Apr 2024
- 2024METER: a mobile vision transformer architecture for monocular depth estimation13 Mar 2024
- 2023Zero-Shot Metric Depth with a Field-of-View Conditioned Diffusion Model20 Dec 2023
- 2023BEVNeXt: Reviving Dense BEV Frameworks for 3D Object Detection4 Dec 2023
- 2023Deeper into Self-Supervised Monocular Indoor Depth Estimation3 Dec 2023
- 2023MonoDiffusion: Self-Supervised Monocular Depth Estimation Using Diffusion Model13 Nov 2023
- 2023NDDepth: Normal-Distance Assisted Monocular Depth Estimation and Completion13 Nov 2023
- 2023Deep Imbalanced Regression via Hierarchical Classification Adjustment26 Oct 2023
- 2023Ordinal Classification with Distance Regularization for Robust Brain Age Prediction25 Oct 2023
- 2023LanguageBind: Extending Video-Language Pretraining to N-modality by Language-based Semantic Alignment3 Oct 2023
- 2023ADU-Depth: Attention-based Distillation with Uncertainty Modeling for Depth Estimation26 Sep 2023
- 2023IEBins: Iterative Elastic Bins for Monocular Depth Estimation25 Sep 2023
- 2023NDDepth: Normal-Distance Assisted Monocular Depth Estimation19 Sep 2023
- 2023WS-SfMLearner: Self-supervised Monocular Depth and Ego-motion Estimation on Surgical Videos with Unknown Camera Parameters22 Aug 2023
- 2023Discretization-Induced Dirichlet Posterior for Robust Uncertainty Quantification on Regression17 Aug 2023
- 2023Self-supervised Multi-task Learning Framework for Safety and Health-Oriented Connected Driving Environment Perception using Onboard Camera20 Jun 2023
- 2023Defocus to focus: Photo-realistic bokeh rendering by fusing defocus and radiance priors7 Jun 2023
- 2023Single-Stage 3D Geometry-Preserving Depth Estimation Model Training on Dataset Mixtures with Uncalibrated Stereo Data5 Jun 2023
- 2023The Surprising Effectiveness of Diffusion Models for Optical Flow and Monocular Depth Estimation2 Jun 2023
- 2023PanelNet: Understanding 360 Indoor Environment via Panel Representation16 May 2023
- 2023Virtual Occlusions Through Implicit Depth11 May 2023
- 2023A geometry-aware deep network for depth estimation in monocular endoscopy20 Apr 2023
- 2023iDisc: Internal Discretization for Monocular Depth Estimation13 Apr 2023
- 2023Embodied Concept Learner: Self-supervised Learning of Concepts and Mapping through Instruction Following7 Apr 2023
- 2023Monocular Depth Estimation using Diffusion Models28 Feb 2023
50 newest of 91 All 91 (JSON)
- 2023The Surprising Effectiveness of Diffusion Models for Optical Flow and Monocular Depth Estimationcited by 116
- 2023Monocular Depth Estimation using Diffusion Modelscited by 87
- 2023Zero-Shot Metric Depth with a Field-of-View Conditioned Diffusion Modelcited by 29
- 2025DepthMaster: Taming Diffusion Models for Monocular Depth Estimationcited by 19
- 2023MonoDiffusion: Self-Supervised Monocular Depth Estimation Using Diffusion Modelcited by 13
- 2025DepthMaster: Taming Diffusion Models for Monocular Depth Estimation5 Jan 2025
- 2023Zero-Shot Metric Depth with a Field-of-View Conditioned Diffusion Model20 Dec 2023
- 2023MonoDiffusion: Self-Supervised Monocular Depth Estimation Using Diffusion Model13 Nov 2023
- 2023The Surprising Effectiveness of Diffusion Models for Optical Flow and Monocular Depth Estimation2 Jun 2023
- 2023Monocular Depth Estimation using Diffusion Models28 Feb 2023
- 2023LanguageBind: Extending Video-Language Pretraining to N-modality by Language-based Semantic Alignmentcited by 370
- 2024Flash3D: Feed-Forward Generalisable 3D Scene Reconstruction from a Single Imagecited by 116
- 2022P3Depth: Monocular Depth Estimation with a Piecewise Planarity Priorcited by 107
- 2023iDisc: Internal Discretization for Monocular Depth Estimationcited by 73
- 2021Self-Supervised Monocular Depth and Ego-Motion Estimation in Endoscopy: Appearance Flow to the Rescuecited by 72
- 2023IEBins: Iterative Elastic Bins for Monocular Depth Estimationcited by 54
- 2021Virtual Normal: Enforcing Geometric Constraints for Accurate and Robust Depth Predictioncited by 48
- 2021Multi-View Depth Estimation by Fusing Single-View Depth Probability with Multi-View Geometrycited by 46
- 2023Improving Deep Regression with Ordinal Entropycited by 45
- 2023NDDepth: Normal-Distance Assisted Monocular Depth Estimationcited by 45
- 2021Single Image Depth Estimation: An Overviewcited by 35
- 2022BiFuse++: Self-supervised and Efficient Bi-projection Fusion for 360 Depth Estimationcited by 35
12 most cited of 83 All 83 (JSON)
- 2026Monocular Depth Estimation from a Single Image: Progress and Opportunities1 Sep 2026
- 2026FeDepth: Federated Learning for Depth Estimation under Robot Heterogeneity2 Aug 2026
- 2026DrivingDepth: Sparse-Prompted Pixel-wise Scale Correction for Driving Depth Estimation30 Jun 2026
- 2026EmergentBridge: Improving Zero-Shot Cross-Modal Transfer in Unified Multimodal Embedding Models13 Apr 2026
- 2026Atomic Depth Estimation From Noisy Electron Microscopy Data Via Deep Learning20 Jan 2026
- 2025Discriminately Treating Motion Components Evolves Joint Depth and Ego-Motion Learning3 Nov 2025
- 2025Endoscopic Depth Estimation Based on Deep Learning: A Survey28 Jul 2025
- 2025StixelNExT++: Lightweight Monocular Scene Segmentation and Representation for Collective Perception9 Jul 2025
- 2025Vision-Language Embodiment for Monocular Depth Estimation18 Mar 2025
- 2024MetricDepth: Enhancing Monocular Depth Estimation with Deep Metric Learning29 Dec 2024
- 2024DCDepth: Progressive Monocular Depth Estimation in Discrete Cosine Domain19 Oct 2024
- 2024EndoDepth: A Benchmark for Assessing Robustness in Endoscopic Depth Prediction30 Sep 2024
12 newest of 83 All 83 (JSON)