Flow-Motion and Depth Network for Monocular Stereo and Beyond
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Abstract (arXiv)
We propose a learning-based method that solves monocular stereo and can be extended to fuse depth information from multiple target frames. Given two unconstrained images from a monocular camera with known intrinsic calibration, our network estimates relative camera poses and the depth map of the source image. The core contribution of the proposed method is threefold. First, a network is tailored for static scenes that jointly estimates the optical flow and camera motion. By the joint estimation, the optical flow search space is gradually reduced resulting in an efficient and accurate flow estimation. Second, a novel triangulation layer is proposed to encode the estimated optical flow and camera motion while avoiding common numerical issues caused by epipolar. Third, beyond two-view depth estimation, we further extend the above networks to fuse depth information from multiple target images and estimate the depth map of the source image. To further benefit the research community, we introduce tools to generate photorealistic structure-from-motion datasets such that deep networks can be well trained and evaluated. The proposed method is compared with previous methods and achieves state-of-the-art results within less time. Images from real-world applications and Google Earth are used to demonstrate the generalization ability of the method.
Key facts. Cited by 37 papers in the map (data through 7 Oct 2026). First posted on arXiv 12 Sep 2019.
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Citing papers per year: 2021: 1; 2022: 2; 2023: 2; 2024: 3; 2025: 8; 2026: 21.
37 papers.
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- 2025Depth Anything 3: Recovering the Visual Space from Any Viewscited by 626
- 2025π3: Permutation-Equivariant Visual Geometry Learningcited by 292
- 2024MoGe: Unlocking Accurate Monocular Geometry Estimation for Open-Domain Images with Optimal Training Supervisioncited by 290
- 2025MoGe-2: Accurate Monocular Geometry with Metric Scale and Sharp Detailscited by 250
- 2024GIM: Learning Generalizable Image Matcher From Internet Videoscited by 72
- 2025Dens3R: A Foundation Model for 3D Geometry Predictioncited by 44
- 2021Deep Two-View Structure-from-Motion Revisitedcited by 39
- 2025GeometryCrafter: Consistent Geometry Estimation for Open-world Videos with Diffusion Priorscited by 36
- 2025WinT3R: Window-Based Streaming Reconstruction with Camera Token Poolcited by 32
- 2026LingBot-Map: Geometric Context Transformer for Streaming 3D Reconstructioncited by 32
- 2025Advances in Feed-Forward 3D Reconstruction and View Synthesis: A Surveycited by 23
- 2026ZipMap: Linear-Time Stateful 3D Reconstruction via Test-Time Trainingcited by 23
25 more
- 2025AMB3R: Accurate Feed-forward Metric-scale 3D Reconstruction with Backendcited by 16
- 2022A Survey on RGB-D Datasetscited by 11
- 2023High-Resolution Synthetic RGB-D Datasets for Monocular Depth Estimationcited by 10
- 2026MetricAnything: Scaling Metric Depth Pretraining with Noisy Heterogeneous Sourcescited by 10
- 2026Track4World: Feedforward World-centric Dense 3D Tracking of All Pixelscited by 10
- 2022Semi-supervised Deep Multi-view Stereocited by 5
- 2024RobustMVS: Single Domain Generalized Deep Multi-view Stereocited by 5
- 2026D'ej`a View: Looping Transformers for Multi-View 3D Reconstructioncited by 4
- 2026MoGe-3: Fine-Detail Monocular Geometry Estimation with Self-Guided Sparse Volumetric Refinementcited by 4
- 2023Uncertainty-Driven Dense Two-View Structure from Motioncited by 3
- 2026TrajVG: 3D Trajectory-Coupled Visual Geometry Learningcited by 3
- 2026MotionCrafter: Dense Geometry and Motion Reconstruction with a 4D VAEcited by 3
- 2026Towards Consistent Video Geometry Estimationcited by 3
- 2026DAGE: Dual-Stream Architecture for Efficient and Fine-Grained Geometry Estimationcited by 2
- 2026VLM3: Vision Language Models Are Native 3D Learnerscited by 2
- 2026SurGe: Improved Surface Geometry in Point Mapscited by 2
- 2026PXDepth: Pixel-Space Modeling for Structure Preserving Monocular Depth Estimationcited by 1
- 2026UniT: Unified Geometry Learning with Group Autoregressive Transformercited by 0
- 2026ForeSplat: Optimization-Aware Foresight for Feed-Forward 3D Gaussian Splattingcited by 0
- 2026DepthMaster: Unified Monocular Depth Estimation for Perspective and Panoramic Imagescited by 0
- 2026Dense Metric Depth Completion from Sparse Direct Time-of-Flight Sensorscited by 0
- 2026Monocular Depth Estimation from a Single Image: Progress and Opportunitiescited by 0
- 2026GeoVerse: World-Consistent Novel View Synthesis in Geometric Latent Spacecited by 0
- 2026FAST: Flow Any Scene Transformercited by 0
- 2026ARROW: Arbitrary Reconstruction and Tracking of 4D Observations in the Wildcited by 0
- 2026ARROW: Arbitrary Reconstruction and Tracking of 4D Observations in the Wild1 Oct 2026
- 2026FAST: Flow Any Scene Transformer30 Sep 2026
- 2026GeoVerse: World-Consistent Novel View Synthesis in Geometric Latent Space28 Sep 2026
- 2026Monocular Depth Estimation from a Single Image: Progress and Opportunities1 Sep 2026
- 2026PXDepth: Pixel-Space Modeling for Structure Preserving Monocular Depth Estimation17 Aug 2026
- 2026Dense Metric Depth Completion from Sparse Direct Time-of-Flight Sensors5 Aug 2026
- 2026MoGe-3: Fine-Detail Monocular Geometry Estimation with Self-Guided Sparse Volumetric Refinement20 Jul 2026
- 2026DepthMaster: Unified Monocular Depth Estimation for Perspective and Panoramic Images10 Jun 2026
- 2026SurGe: Improved Surface Geometry in Point Maps29 May 2026
- 2026VLM3: Vision Language Models Are Native 3D Learners28 May 2026
- 2026D'ej`a View: Looping Transformers for Multi-View 3D Reconstruction28 May 2026
- 2026Towards Consistent Video Geometry Estimation28 May 2026
25 more
- 2026ForeSplat: Optimization-Aware Foresight for Feed-Forward 3D Gaussian Splatting21 May 2026
- 2026UniT: Unified Geometry Learning with Group Autoregressive Transformer20 May 2026
- 2026LingBot-Map: Geometric Context Transformer for Streaming 3D Reconstruction15 Apr 2026
- 2026ZipMap: Linear-Time Stateful 3D Reconstruction via Test-Time Training4 Mar 2026
- 2026DAGE: Dual-Stream Architecture for Efficient and Fine-Grained Geometry Estimation4 Mar 2026
- 2026Track4World: Feedforward World-centric Dense 3D Tracking of All Pixels3 Mar 2026
- 2026MotionCrafter: Dense Geometry and Motion Reconstruction with a 4D VAE9 Feb 2026
- 2026TrajVG: 3D Trajectory-Coupled Visual Geometry Learning4 Feb 2026
- 2026MetricAnything: Scaling Metric Depth Pretraining with Noisy Heterogeneous Sources29 Jan 2026
- 2025AMB3R: Accurate Feed-forward Metric-scale 3D Reconstruction with Backend25 Nov 2025
- 2025Depth Anything 3: Recovering the Visual Space from Any Views13 Nov 2025
- 2025WinT3R: Window-Based Streaming Reconstruction with Camera Token Pool5 Sep 2025
- 2025Dens3R: A Foundation Model for 3D Geometry Prediction22 Jul 2025
- 2025Advances in Feed-Forward 3D Reconstruction and View Synthesis: A Survey19 Jul 2025
- 2025π3: Permutation-Equivariant Visual Geometry Learning17 Jul 2025
- 2025MoGe-2: Accurate Monocular Geometry with Metric Scale and Sharp Details3 Jul 2025
- 2025GeometryCrafter: Consistent Geometry Estimation for Open-world Videos with Diffusion Priors1 Apr 2025
- 2024MoGe: Unlocking Accurate Monocular Geometry Estimation for Open-Domain Images with Optimal Training Supervision24 Oct 2024
- 2024RobustMVS: Single Domain Generalized Deep Multi-view Stereo15 May 2024
- 2024GIM: Learning Generalizable Image Matcher From Internet Videos16 Feb 2024
- 2023High-Resolution Synthetic RGB-D Datasets for Monocular Depth Estimation2 May 2023
- 2023Uncertainty-Driven Dense Two-View Structure from Motion1 Feb 2023
- 2022Semi-supervised Deep Multi-view Stereo24 Jul 2022
- 2022A Survey on RGB-D Datasets15 Jan 2022
- 2021Deep Two-View Structure-from-Motion Revisited1 Apr 2021
- 2026VLM3: Vision Language Models Are Native 3D Learnerscited by 2
- 2026VLM3: Vision Language Models Are Native 3D Learners28 May 2026
- 2025Depth Anything 3: Recovering the Visual Space from Any Viewscited by 626
- 2025π3: Permutation-Equivariant Visual Geometry Learningcited by 292
- 2024MoGe: Unlocking Accurate Monocular Geometry Estimation for Open-Domain Images with Optimal Training Supervisioncited by 290
- 2025MoGe-2: Accurate Monocular Geometry with Metric Scale and Sharp Detailscited by 250
- 2024GIM: Learning Generalizable Image Matcher From Internet Videoscited by 72
- 2025Dens3R: A Foundation Model for 3D Geometry Predictioncited by 44
- 2021Deep Two-View Structure-from-Motion Revisitedcited by 39
- 2025WinT3R: Window-Based Streaming Reconstruction with Camera Token Poolcited by 32
- 2026LingBot-Map: Geometric Context Transformer for Streaming 3D Reconstructioncited by 32
- 2025Advances in Feed-Forward 3D Reconstruction and View Synthesis: A Surveycited by 23
- 2026ZipMap: Linear-Time Stateful 3D Reconstruction via Test-Time Trainingcited by 23
- 2025AMB3R: Accurate Feed-forward Metric-scale 3D Reconstruction with Backendcited by 16
12 most cited of 35 All 35 (JSON)
- 2026ARROW: Arbitrary Reconstruction and Tracking of 4D Observations in the Wild1 Oct 2026
- 2026FAST: Flow Any Scene Transformer30 Sep 2026
- 2026GeoVerse: World-Consistent Novel View Synthesis in Geometric Latent Space28 Sep 2026
- 2026Monocular Depth Estimation from a Single Image: Progress and Opportunities1 Sep 2026
- 2026PXDepth: Pixel-Space Modeling for Structure Preserving Monocular Depth Estimation17 Aug 2026
- 2026Dense Metric Depth Completion from Sparse Direct Time-of-Flight Sensors5 Aug 2026
- 2026MoGe-3: Fine-Detail Monocular Geometry Estimation with Self-Guided Sparse Volumetric Refinement20 Jul 2026
- 2026DepthMaster: Unified Monocular Depth Estimation for Perspective and Panoramic Images10 Jun 2026
- 2026SurGe: Improved Surface Geometry in Point Maps29 May 2026
- 2026D'ej`a View: Looping Transformers for Multi-View 3D Reconstruction28 May 2026
- 2026Towards Consistent Video Geometry Estimation28 May 2026
- 2026ForeSplat: Optimization-Aware Foresight for Feed-Forward 3D Gaussian Splatting21 May 2026
12 newest of 35 All 35 (JSON)