Monocular Depth Estimation using Multi-Scale Continuous CRFs as Sequential Deep Networks
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Abstract (arXiv)
Depth cues have been proved very useful in various computer vision and robotic tasks. This paper addresses the problem of monocular depth estimation from a single still image. Inspired by the effectiveness of recent works on multi-scale convolutional neural networks (CNN), we propose a deep model which fuses complementary information derived from multiple CNN side outputs. Different from previous methods using concatenation or weighted average schemes, the integration is obtained by means of continuous Conditional Random Fields (CRFs). In particular, we propose two different variations, one based on a cascade of multiple CRFs, the other on a unified graphical model. By designing a novel CNN implementation of mean-field updates for continuous CRFs, we show that both proposed models can be regarded as sequential deep networks and that training can be performed end-to-end. Through an extensive experimental evaluation, we demonstrate the effectiveness of the proposed approach and establish new state of the art results for the monocular depth estimation task on three publicly available datasets, i.e. NYUD-V2, Make3D and KITTI.
Key facts. Cited by 19 papers in the map (data through 14 Oct 2026). First posted on arXiv 1 Mar 2018.
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Citing papers per year: 2021: 7; 2022: 2; 2023: 2; 2024: 4; 2025: 3; 2026: 1.
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- 2022NeW CRFs: Neural Window Fully-connected CRFs for Monocular Depth Estimationcited by 153
- 2024Deep Learning-based Depth Estimation Methods from Monocular Image and Videos: A Comprehensive Surveycited by 15
- 2024Adaptive Surface Normal Constraint for Geometric Estimation from Monocular Imagescited by 14
- 2021Probabilistic Graph Attention Network with Conditional Kernels for Pixel-Wise Predictioncited by 8
- 2021Moving SLAM: Fully Unsupervised Deep Learning in Non-Rigid Scenescited by 8
- 2022Vision-Based Environmental Perception for Autonomous Drivingcited by 7
- 2021Multi-Domain Image-to-Image Translation with Adaptive Inference Graphcited by 4
- 2021Toward Realistic Single-View 3D Object Reconstruction with Unsupervised Learning from Multiple Imagescited by 4
- 2024Physics-informed Imitative Reinforcement Learning for Real-world Drivingcited by 2
- 2021DynOcc: Learning Single-View Depth from Dynamic Occlusion Cuescited by 1
- 2021Monocular Depth Estimation with Sharp Boundarycited by 1
- 2023InSpaceType: Reconsider Space Type in Indoor Monocular Depth Estimationcited by 1
7 more
- 2025MoDiT: Learning Highly Consistent 3D Motion Coefficients with Diffusion Transformer for Talking Head Generationcited by 1
- 2021Extraction of Key-frames of Endoscopic Videos by using Depth Informationcited by 0
- 2023Learning Monocular Depth in Dynamic Environment via Context-aware Temporal Attentioncited by 0
- 2024InSpaceType: Dataset and Benchmark for Reconsidering Cross-Space Type Performance in Indoor Monocular Depthcited by 0
- 2025Depth as Points: Center Point-based Depth Estimationcited by 0
- 2025Bridging Geometric and Semantic Foundation Models for Generalized Monocular Depth Estimationcited by 0
- 2026GenOpticalFlow: A Generative Approach to Unsupervised Optical Flow Learningcited by 0
- 2026GenOpticalFlow: A Generative Approach to Unsupervised Optical Flow Learning23 Mar 2026
- 2025MoDiT: Learning Highly Consistent 3D Motion Coefficients with Diffusion Transformer for Talking Head Generation7 Jul 2025
- 2025Bridging Geometric and Semantic Foundation Models for Generalized Monocular Depth Estimation29 May 2025
- 2025Depth as Points: Center Point-based Depth Estimation26 Apr 2025
- 2024InSpaceType: Dataset and Benchmark for Reconsidering Cross-Space Type Performance in Indoor Monocular Depth25 Aug 2024
- 2024Deep Learning-based Depth Estimation Methods from Monocular Image and Videos: A Comprehensive Survey28 Jun 2024
- 2024Physics-informed Imitative Reinforcement Learning for Real-world Driving18 Jun 2024
- 2024Adaptive Surface Normal Constraint for Geometric Estimation from Monocular Images8 Feb 2024
- 2023InSpaceType: Reconsider Space Type in Indoor Monocular Depth Estimation24 Sep 2023
- 2023Learning Monocular Depth in Dynamic Environment via Context-aware Temporal Attention12 May 2023
- 2022Vision-Based Environmental Perception for Autonomous Driving22 Dec 2022
- 2022NeW CRFs: Neural Window Fully-connected CRFs for Monocular Depth Estimation3 Mar 2022
7 more
- 2021Monocular Depth Estimation with Sharp Boundary12 Oct 2021
- 2021Toward Realistic Single-View 3D Object Reconstruction with Unsupervised Learning from Multiple Images6 Sep 2021
- 2021Extraction of Key-frames of Endoscopic Videos by using Depth Information30 Jun 2021
- 2021Moving SLAM: Fully Unsupervised Deep Learning in Non-Rigid Scenes5 May 2021
- 2021DynOcc: Learning Single-View Depth from Dynamic Occlusion Cues30 Mar 2021
- 2021Multi-Domain Image-to-Image Translation with Adaptive Inference Graph11 Jan 2021
- 2021Probabilistic Graph Attention Network with Conditional Kernels for Pixel-Wise Prediction8 Jan 2021
- 2022NeW CRFs: Neural Window Fully-connected CRFs for Monocular Depth Estimationcited by 153
- 2024Deep Learning-based Depth Estimation Methods from Monocular Image and Videos: A Comprehensive Surveycited by 15
- 2024Adaptive Surface Normal Constraint for Geometric Estimation from Monocular Imagescited by 14
- 2021Probabilistic Graph Attention Network with Conditional Kernels for Pixel-Wise Predictioncited by 8
- 2021Moving SLAM: Fully Unsupervised Deep Learning in Non-Rigid Scenescited by 8
- 2022Vision-Based Environmental Perception for Autonomous Drivingcited by 7
- 2021Multi-Domain Image-to-Image Translation with Adaptive Inference Graphcited by 4
- 2021Toward Realistic Single-View 3D Object Reconstruction with Unsupervised Learning from Multiple Imagescited by 4
- 2021DynOcc: Learning Single-View Depth from Dynamic Occlusion Cuescited by 1
- 2021Monocular Depth Estimation with Sharp Boundarycited by 1
- 2023InSpaceType: Reconsider Space Type in Indoor Monocular Depth Estimationcited by 1
- 2021Extraction of Key-frames of Endoscopic Videos by using Depth Informationcited by 0
12 most cited of 17 All 17 (JSON)
- 2026GenOpticalFlow: A Generative Approach to Unsupervised Optical Flow Learning23 Mar 2026
- 2025Bridging Geometric and Semantic Foundation Models for Generalized Monocular Depth Estimation29 May 2025
- 2025Depth as Points: Center Point-based Depth Estimation26 Apr 2025
- 2024InSpaceType: Dataset and Benchmark for Reconsidering Cross-Space Type Performance in Indoor Monocular Depth25 Aug 2024
- 2024Deep Learning-based Depth Estimation Methods from Monocular Image and Videos: A Comprehensive Survey28 Jun 2024
- 2024Adaptive Surface Normal Constraint for Geometric Estimation from Monocular Images8 Feb 2024
- 2023InSpaceType: Reconsider Space Type in Indoor Monocular Depth Estimation24 Sep 2023
- 2023Learning Monocular Depth in Dynamic Environment via Context-aware Temporal Attention12 May 2023
- 2022Vision-Based Environmental Perception for Autonomous Driving22 Dec 2022
- 2022NeW CRFs: Neural Window Fully-connected CRFs for Monocular Depth Estimation3 Mar 2022
- 2021Monocular Depth Estimation with Sharp Boundary12 Oct 2021
- 2021Toward Realistic Single-View 3D Object Reconstruction with Unsupervised Learning from Multiple Images6 Sep 2021
12 newest of 17 All 17 (JSON)