Bilateral Cyclic Constraint and Adaptive Regularization for Unsupervised Monocular Depth Prediction
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Abstract (arXiv)
Supervised learning methods to infer (hypothesize) depth of a scene from a single image require costly per-pixel ground-truth. We follow a geometric approach that exploits abundant stereo imagery to learn a model to hypothesize scene structure without direct supervision. Although we train a network with stereo pairs, we only require a single image at test time to hypothesize disparity or depth. We propose a novel objective function that exploits the bilateral cyclic relationship between the left and right disparities and we introduce an adaptive regularization scheme that allows the network to handle both the co-visible and occluded regions in a stereo pair. This process ultimately produces a model to generate hypotheses for the 3-dimensional structure of the scene as viewed in a single image. When used to generate a single (most probable) estimate of depth, our method outperforms state-of-the-art unsupervised monocular depth prediction methods on the KITTI benchmarks. We show that our method generalizes well by applying our models trained on KITTI to the Make3d dataset.
Key facts. Cited by 44 papers in the map (data through 14 Oct 2026). First posted on arXiv 18 Mar 2019.
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Citing papers per year: 2021: 13; 2022: 10; 2023: 7; 2024: 7; 2025: 4; 2026: 3.
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- 2021Boosting Monocular Depth Estimation Models to High-Resolution via Content-Adaptive Multi-Resolution Mergingcited by 104
- 2021Unsupervised Depth Completion with Calibrated Backprojection Layerscited by 61
- 2021Excavating the Potential Capacity of Self-Supervised Monocular Depth Estimationcited by 48
- 2022Disentangling Object Motion and Occlusion for Unsupervised Multi-frame Monocular Depthcited by 48
- 2021Multi-View Depth Estimation by Fusing Single-View Depth Probability with Multi-View Geometrycited by 46
- 2021Learning Topology from Synthetic Data for Unsupervised Depth Completioncited by 38
- 2024WorDepth: Variational Language Prior for Monocular Depth Estimationcited by 34
- 2022PlaneDepth: Self-supervised Depth Estimation via Orthogonal Planescited by 32
- 2022Not Just Streaks: Towards Ground Truth for Single Image Derainingcited by 31
- 2021Learning Scene Structure Guidance via Cross-Task Knowledge Transfer for Single Depth Super-Resolutioncited by 30
- 2021An Adaptive Framework for Learning Unsupervised Depth Completioncited by 30
- 2024Test-Time Adaptation for Depth Completioncited by 26
32 more
- 2022Monitored Distillation for Positive Congruent Depth Completioncited by 24
- 2024RSA: Resolving Scale Ambiguities in Monocular Depth Estimators through Language Descriptionscited by 21
- 2021Stereoscopic Universal Perturbations across Different Architectures and Datasetscited by 17
- 2021Robust Depth Completion with Uncertainty-Driven Loss Functionscited by 16
- 2023Enhancing Diffusion Models with 3D Perspective Geometry Constraintscited by 16
- 2023AugUndo: Scaling Up Augmentations for Monocular Depth Completion and Estimationcited by 15
- 2023Heteroscedastic Uncertainty Estimation Framework for Unsupervised Registrationcited by 14
- 2021Advancing Self-supervised Monocular Depth Learning with Sparse LiDARcited by 13
- 20213D Hierarchical Refinement and Augmentation for Unsupervised Learning of Depth and Pose from Monocular Videocited by 11
- 2025ProtoDepth: Unsupervised Continual Depth Completion with Prototypescited by 11
- 2021Self-supervised Visual-LiDAR Odometry with Flip Consistencycited by 9
- 2023Adaptive Correspondence Scoring for Unsupervised Medical Image Registrationcited by 9
- 2025Extending Foundational Monocular Depth Estimators to Fisheye Cameras with Calibration Tokenscited by 9
- 2023Joint Self-supervised Depth and Optical Flow Estimation towards Dynamic Objectscited by 8
- 2024All-day Depth Completioncited by 8
- 2022Learning Occlusion-Aware Coarse-to-Fine Depth Map for Self-supervised Monocular Depth Estimationcited by 6
- 2022Layered Depth Refinement with Mask Guidancecited by 5
- 2024Improving Domain Generalization in Self-supervised Monocular Depth Estimation via Stabilized Adversarial Trainingcited by 5
- 2025Radar-Guided Polynomial Fitting for Metric Depth Estimationcited by 5
- 2024Scale-Invariant Monocular Depth Estimation via SSI Depthcited by 4
- 2025ETA: Energy-based Test-time Adaptation for Depth Completioncited by 4
- 2022Learn to Adapt for Monocular Depth Estimationcited by 3
- 2024The Devil is in the Edges: Monocular Depth Estimation with Edge-aware Consistency Fusioncited by 3
- 2022Learning Monocular Depth Estimation via Selective Distillation of Stereo Knowledgecited by 2
- 2022Rethinking Skip Connections in Encoder-decoder Networks for Monocular Depth Estimationcited by 1
- 2026Triangular Consistency as a Universal Constraint for Learning Optical Flowcited by 1
- 2026VisTa3D: A Dataset and Benchmark for Thin Object Reconstruction from Vision, Tactile, and 3D Point Cloudscited by 1
- 2021Pseudo Supervised Monocular Depth Estimation with Teacher-Student Networkcited by 0
- 2022On the Viability of Monocular Depth Pre-training for Semantic Segmentationcited by 0
- 2023GlocalFuse-Depth: Fusing Transformers and CNNs for All-day Self-supervised Monocular Depth Estimationcited by 0
- 2023DEUX: Active Exploration for Learning Unsupervised Depth Perceptioncited by 0
- 2026From Perspective to Fisheye Depth Estimation and Open-Vocabulary Segmentationcited by 0
- 2026From Perspective to Fisheye Depth Estimation and Open-Vocabulary Segmentation28 Aug 2026
- 2026VisTa3D: A Dataset and Benchmark for Thin Object Reconstruction from Vision, Tactile, and 3D Point Clouds21 Aug 2026
- 2026Triangular Consistency as a Universal Constraint for Learning Optical Flow18 Jun 2026
- 2025ETA: Energy-based Test-time Adaptation for Depth Completion8 Aug 2025
- 2025Extending Foundational Monocular Depth Estimators to Fisheye Cameras with Calibration Tokens6 Aug 2025
- 2025Radar-Guided Polynomial Fitting for Metric Depth Estimation21 Mar 2025
- 2025ProtoDepth: Unsupervised Continual Depth Completion with Prototypes17 Mar 2025
- 2024Improving Domain Generalization in Self-supervised Monocular Depth Estimation via Stabilized Adversarial Training4 Nov 2024
- 2024RSA: Resolving Scale Ambiguities in Monocular Depth Estimators through Language Descriptions3 Oct 2024
- 2024Scale-Invariant Monocular Depth Estimation via SSI Depth13 Jun 2024
- 2024All-day Depth Completion27 May 2024
- 2024WorDepth: Variational Language Prior for Monocular Depth Estimation4 Apr 2024
32 more
- 2024The Devil is in the Edges: Monocular Depth Estimation with Edge-aware Consistency Fusion30 Mar 2024
- 2024Test-Time Adaptation for Depth Completion5 Feb 2024
- 2023Enhancing Diffusion Models with 3D Perspective Geometry Constraints1 Dec 2023
- 2023Adaptive Correspondence Scoring for Unsupervised Medical Image Registration1 Dec 2023
- 2023Heteroscedastic Uncertainty Estimation Framework for Unsupervised Registration1 Dec 2023
- 2023AugUndo: Scaling Up Augmentations for Monocular Depth Completion and Estimation15 Oct 2023
- 2023DEUX: Active Exploration for Learning Unsupervised Depth Perception16 Sep 2023
- 2023Joint Self-supervised Depth and Optical Flow Estimation towards Dynamic Objects7 Sep 2023
- 2023GlocalFuse-Depth: Fusing Transformers and CNNs for All-day Self-supervised Monocular Depth Estimation20 Feb 2023
- 2022PlaneDepth: Self-supervised Depth Estimation via Orthogonal Planes4 Oct 2022
- 2022Rethinking Skip Connections in Encoder-decoder Networks for Monocular Depth Estimation29 Aug 2022
- 2022Not Just Streaks: Towards Ground Truth for Single Image Deraining22 Jun 2022
- 2022Layered Depth Refinement with Mask Guidance7 Jun 2022
- 2022Learning Monocular Depth Estimation via Selective Distillation of Stereo Knowledge18 May 2022
- 2022Monitored Distillation for Positive Congruent Depth Completion30 Mar 2022
- 2022Disentangling Object Motion and Occlusion for Unsupervised Multi-frame Monocular Depth29 Mar 2022
- 2022Learn to Adapt for Monocular Depth Estimation26 Mar 2022
- 2022On the Viability of Monocular Depth Pre-training for Semantic Segmentation26 Mar 2022
- 2022Learning Occlusion-Aware Coarse-to-Fine Depth Map for Self-supervised Monocular Depth Estimation21 Mar 2022
- 2021Multi-View Depth Estimation by Fusing Single-View Depth Probability with Multi-View Geometry15 Dec 2021
- 2021Robust Depth Completion with Uncertainty-Driven Loss Functions15 Dec 2021
- 2021Stereoscopic Universal Perturbations across Different Architectures and Datasets12 Dec 2021
- 20213D Hierarchical Refinement and Augmentation for Unsupervised Learning of Depth and Pose from Monocular Video6 Dec 2021
- 2021Pseudo Supervised Monocular Depth Estimation with Teacher-Student Network22 Oct 2021
- 2021Excavating the Potential Capacity of Self-Supervised Monocular Depth Estimation26 Sep 2021
- 2021Advancing Self-supervised Monocular Depth Learning with Sparse LiDAR20 Sep 2021
- 2021Unsupervised Depth Completion with Calibrated Backprojection Layers24 Aug 2021
- 2021An Adaptive Framework for Learning Unsupervised Depth Completion6 Jun 2021
- 2021Learning Topology from Synthetic Data for Unsupervised Depth Completion6 Jun 2021
- 2021Boosting Monocular Depth Estimation Models to High-Resolution via Content-Adaptive Multi-Resolution Merging28 May 2021
- 2021Learning Scene Structure Guidance via Cross-Task Knowledge Transfer for Single Depth Super-Resolution24 Mar 2021
- 2021Self-supervised Visual-LiDAR Odometry with Flip Consistency5 Jan 2021
- 2021Boosting Monocular Depth Estimation Models to High-Resolution via Content-Adaptive Multi-Resolution Mergingcited by 104
- 2021Unsupervised Depth Completion with Calibrated Backprojection Layerscited by 61
- 2022Disentangling Object Motion and Occlusion for Unsupervised Multi-frame Monocular Depthcited by 48
- 2021Multi-View Depth Estimation by Fusing Single-View Depth Probability with Multi-View Geometrycited by 46
- 2021Learning Topology from Synthetic Data for Unsupervised Depth Completioncited by 38
- 2024WorDepth: Variational Language Prior for Monocular Depth Estimationcited by 34
- 2022PlaneDepth: Self-supervised Depth Estimation via Orthogonal Planescited by 32
- 2022Not Just Streaks: Towards Ground Truth for Single Image Derainingcited by 31
- 2021Learning Scene Structure Guidance via Cross-Task Knowledge Transfer for Single Depth Super-Resolutioncited by 30
- 2021An Adaptive Framework for Learning Unsupervised Depth Completioncited by 30
- 2024Test-Time Adaptation for Depth Completioncited by 26
- 2024RSA: Resolving Scale Ambiguities in Monocular Depth Estimators through Language Descriptionscited by 21
12 most cited of 40 All 40 (JSON)
- 2026From Perspective to Fisheye Depth Estimation and Open-Vocabulary Segmentation28 Aug 2026
- 2026VisTa3D: A Dataset and Benchmark for Thin Object Reconstruction from Vision, Tactile, and 3D Point Clouds21 Aug 2026
- 2026Triangular Consistency as a Universal Constraint for Learning Optical Flow18 Jun 2026
- 2025ETA: Energy-based Test-time Adaptation for Depth Completion8 Aug 2025
- 2025Extending Foundational Monocular Depth Estimators to Fisheye Cameras with Calibration Tokens6 Aug 2025
- 2025Radar-Guided Polynomial Fitting for Metric Depth Estimation21 Mar 2025
- 2025ProtoDepth: Unsupervised Continual Depth Completion with Prototypes17 Mar 2025
- 2024Improving Domain Generalization in Self-supervised Monocular Depth Estimation via Stabilized Adversarial Training4 Nov 2024
- 2024RSA: Resolving Scale Ambiguities in Monocular Depth Estimators through Language Descriptions3 Oct 2024
- 2024Scale-Invariant Monocular Depth Estimation via SSI Depth13 Jun 2024
- 2024All-day Depth Completion27 May 2024
- 2024WorDepth: Variational Language Prior for Monocular Depth Estimation4 Apr 2024
12 newest of 40 All 40 (JSON)