mlsanityData to 7 Oct 2026

Probabilistic and Geometric Depth: Detecting Objects in Perspective

arXiv 2107.14160 ↗First posted 29 Jul 2021cs.CVcited by 190

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Abstract (arXiv)

3D object detection is an important capability needed in various practical applications such as driver assistance systems. Monocular 3D detection, as a representative general setting among image-based approaches, provides a more economical solution than conventional settings relying on LiDARs but still yields unsatisfactory results. This paper first presents a systematic study on this problem. We observe that the current monocular 3D detection can be simplified as an instance depth estimation problem: The inaccurate instance depth blocks all the other 3D attribute predictions from improving the overall detection performance. Moreover, recent methods directly estimate the depth based on isolated instances or pixels while ignoring the geometric relations across different objects. To this end, we construct geometric relation graphs across predicted objects and use the graph to facilitate depth estimation. As the preliminary depth estimation of each instance is usually inaccurate in this ill-posed setting, we incorporate a probabilistic representation to capture the uncertainty. It provides an important indicator to identify confident predictions and further guide the depth propagation. Despite the simplicity of the basic idea, our method, PGD, obtains significant improvements on KITTI and nuScenes benchmarks, achieving 1st place out of all monocular vision-only methods while still maintaining real-time efficiency. Code and models will be released at https://github.com/open-mmlab/mmdetection3d.

Key facts. Cited by 190 papers in the map (data through 7 Oct 2026). Builds on 46 of its 59 references that are in the map. First posted on arXiv 29 Jul 2021.

Builds on

46 of 59 references.

References · 46

  1. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  2. 2015Faster R-CNN: Towards Real-Time Object Detection with Region Proposal Networkscited by 9,617
  3. 2016Feature Pyramid Networks for Object Detectioncited by 5,021
  4. 2015You Only Look Once: Unified, Real-Time Object Detectioncited by 4,829
  5. 2019nuScenes: A multimodal dataset for autonomous drivingcited by 4,485
  6. 2015SSD: Single Shot MultiBox Detectorcited by 3,125
  7. 2015Fast R-CNNcited by 2,930
  8. 2018PointPillars: Fast Encoders for Object Detection from Point Cloudscited by 1,707
  9. 2019FCOS: Fully Convolutional One-Stage Object Detectioncited by 1,573
  10. 2016YOLO9000: Better, Faster, Strongercited by 1,429
  11. 2017Multi-Task Learning Using Uncertainty to Weigh Losses for Scene Geometry and Semanticscited by 1,345
  12. 2017VoxelNet: End-to-End Learning for Point Cloud Based 3D Object Detectioncited by 1,323
34 more
  1. 2014Depth Map Prediction from a Single Image using a Multi-Scale Deep Networkcited by 1,264
  2. 2019Objects as Pointscited by 1,172
  3. 2020Center-based 3D Object Detection and Trackingcited by 1,143
  4. 2016Unsupervised Monocular Depth Estimation with Left-Right Consistencycited by 819
  5. 2017Unsupervised Learning of Depth and Ego-Motion from Videocited by 778
  6. 2018CornerNet: Detecting Objects as Paired Keypointscited by 763
  7. 2018Deep Ordinal Regression Network for Monocular Depth Estimationcited by 721
  8. 2018Pseudo-LiDAR from Visual Depth Estimation: Bridging the Gap in 3D Object Detection for Autonomous Drivingcited by 455
  9. 2021FCOS3D: Fully Convolutional One-Stage Monocular 3D Object Detectioncited by 444
  10. 2020Cylindrical and Asymmetrical 3D Convolution Networks for LiDAR Segmentationcited by 388
  11. 2016Unsupervised CNN for Single View Depth Estimation: Geometry to the Rescuecited by 368
  12. 2018GeoNet: Unsupervised Learning of Dense Depth, Optical Flow and Camera Posecited by 341
  13. 2019STD: Sparse-to-Dense 3D Object Detector for Point Cloudcited by 282
  14. 20163D Bounding Box Estimation Using Deep Learning and Geometrycited by 277
  15. 2019M3D-RPN: Monocular 3D Region Proposal Network for Object Detectioncited by 251
  16. 2019Disentangling Monocular 3D Object Detectioncited by 215
  17. 2018Orthographic Feature Transform for Monocular 3D Object Detectioncited by 201
  18. 2019Stereo R-CNN based 3D Object Detection for Autonomous Drivingcited by 163
  19. 2020CenterFusion: Center-based Radar and Camera Fusion for 3D Object Detectioncited by 159
  20. 2020MonoPair: Monocular 3D Object Detection Using Pairwise Spatial Relationshipscited by 153
  21. 2020RTM3D: Real-time Monocular 3D Detection from Object Keypoints for Autonomous Drivingcited by 150
  22. 2019GS3D: An Efficient 3D Object Detection Framework for Autonomous Drivingcited by 106
  23. 2018MonoGRNet: A Geometric Reasoning Network for Monocular 3D Object Localizationcited by 84
  24. 2020SSN: Shape Signature Networks for Multi-class Object Detection from Point Cloudscited by 74
  25. 2019Deep Fitting Degree Scoring Network for Monocular 3D Object Detectioncited by 67
  26. 2018Learning Monocular Depth by Distilling Cross-domain Stereo Networkscited by 64
  27. 2015DenseBox: Unifying Landmark Localization with End to End Object Detectioncited by 58
  28. 2019Towards Generalization Across Depth for Monocular 3D Object Detectioncited by 41
  29. 2019Mono3D++: Monocular 3D Vehicle Detection with Two-Scale 3D Hypotheses and Task Priorscited by 37
  30. 2019Monocular 3D Object Detection and Box Fitting Trained End-to-End Using Intersection-over-Union Losscited by 30
  31. 2020Center3D: Center-based Monocular 3D Object Detection with Joint Depth Understandingcited by 25
  32. 2019Task-Aware Monocular Depth Estimation for 3D Object Detectioncited by 22
  33. 2020Reconfigurable Voxels: A New Representation for LiDAR-Based Point Cloudscited by 16
  34. 2020FLAVA: Find, Localize, Adjust and Verify to Annotate LiDAR-Based Point Cloudscited by 5

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 6; 2022: 55; 2023: 53; 2024: 47; 2025: 21; 2026: 8.

190 papers.

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  1. 2022BEVFormer: Learning Bird's-Eye-View Representation from Multi-Camera Images via Spatiotemporal Transformerscited by 1,213
  2. 2022BEVFusion: Multi-Task Multi-Sensor Fusion with Unified Bird's-Eye View Representationcited by 844
  3. 2021BEVDet: High-performance Multi-camera 3D Object Detection in Bird-Eye-Viewcited by 711
  4. 2021DETR3D: 3D Object Detection from Multi-view Images via 3D-to-2D Queriescited by 655
  5. 2022BEVDepth: Acquisition of Reliable Depth for Multi-view 3D Object Detectioncited by 568
  6. 2022PETR: Position Embedding Transformation for Multi-View 3D Object Detectioncited by 550
  7. 2022PETRv2: A Unified Framework for 3D Perception from Multi-Camera Imagescited by 351
  8. 2022BEVDet4D: Exploit Temporal Cues in Multi-camera 3D Object Detectioncited by 340
  9. 2022BEVFusion: A Simple and Robust LiDAR-Camera Fusion Frameworkcited by 334
  10. 2023SurroundOcc: Multi-Camera 3D Occupancy Prediction for Autonomous Drivingcited by 310
  11. 2022FUTR3D: A Unified Sensor Fusion Framework for 3D Detectioncited by 194
  12. 2022BEVerse: Unified Perception and Prediction in Birds-Eye-View for Vision-Centric Autonomous Drivingcited by 191
38 more
  1. 2022Time Will Tell: New Outlooks and A Baseline for Temporal Multi-View 3D Object Detectioncited by 177
  2. 2022Omni3D: A Large Benchmark and Model for 3D Object Detection in the Wildcited by 159
  3. 2022M2BEV: Multi-Camera Joint 3D Detection and Segmentation with Unified Birds-Eye View Representationcited by 155
  4. 2022PolarFormer: Multi-camera 3D Object Detection with Polar Transformercited by 147
  5. 2023EmbodiedScan: A Holistic Multi-Modal 3D Perception Suite Towards Embodied AIcited by 146
  6. 20223D Object Detection for Autonomous Driving: A Comprehensive Surveycited by 132
  7. 2022Vision-Centric BEV Perception: A Surveycited by 126
  8. 2022Delving into the Devils of Bird's-eye-view Perception: A Review, Evaluation and Recipecited by 122
  9. 2023Benchmarking Robustness of 3D Object Detection to Common Corruptions in Autonomous Drivingcited by 112
  10. 2022MonoDTR: Monocular 3D Object Detection with Depth-Aware Transformercited by 108
  11. 2022MUTR3D: A Multi-camera Tracking Framework via 3D-to-2D Queriescited by 90
  12. 2022MonoDETR: Depth-guided Transformer for Monocular 3D Object Detectioncited by 85
  13. 2023EPro-PnP: Generalized End-to-End Probabilistic Perspective-n-Points for Monocular Object Pose Estimationcited by 79
  14. 2023Cross Modal Transformer: Towards Fast and Robust 3D Object Detectioncited by 68
  15. 2021Learning Auxiliary Monocular Contexts Helps Monocular 3D Object Detectioncited by 66
  16. 20223D Object Detection from Images for Autonomous Driving: A Surveycited by 66
  17. 2022CRAFT: Camera-Radar 3D Object Detection with Spatio-Contextual Fusion Transformercited by 66
  18. 2022BEVDistill: Cross-Modal BEV Distillation for Multi-View 3D Object Detectioncited by 66
  19. 2021Cylindrical and Asymmetrical 3D Convolution Networks for LiDAR-based Perceptioncited by 57
  20. 2022Polar Parametrization for Vision-based Surround-View 3D Detectioncited by 53
  21. 2022Diversity Matters: Fully Exploiting Depth Clues for Reliable Monocular 3D Object Detectioncited by 45
  22. 2022Learning Ego 3D Representation as Ray Tracingcited by 43
  23. 2023RoboBEV: Towards Robust Bird's Eye View Perception under Corruptionscited by 42
  24. 2023Fast-BEV: A Fast and Strong Bird's-Eye View Perception Baselinecited by 40
  25. 2022DID-M3D: Decoupling Instance Depth for Monocular 3D Object Detectioncited by 39
  26. 2023CAPE: Camera View Position Embedding for Multi-View 3D Object Detectioncited by 39
  27. 2024Benchmarking and Improving Bird's Eye View Perception Robustness in Autonomous Drivingcited by 39
  28. 2022Monocular 3D Object Detection with Depth from Motioncited by 38
  29. 2023Object as Query: Lifting any 2D Object Detector to 3D Detectioncited by 38
  30. 2022TiG-BEV: Multi-view BEV 3D Object Detection via Target Inner-Geometry Learningcited by 37
  31. 2022Graph-DETR3D: Rethinking Overlapping Regions for Multi-View 3D Object Detectioncited by 35
  32. 2024Unleashing HyDRa: Hybrid Fusion, Depth Consistency and Radar for Unified 3D Perceptioncited by 35
  33. 2023DiffBEV: Conditional Diffusion Model for Bird's Eye View Perceptioncited by 30
  34. 2023SA-BEV: Generating Semantic-Aware Bird's-Eye-View Feature for Multi-view 3D Object Detectioncited by 30
  35. 2022MV-FCOS3D++: Multi-View Camera-Only 4D Object Detection with Pretrained Monocular Backbonescited by 29
  36. 2022MatrixVT: Efficient Multi-Camera to BEV Transformation for 3D Perceptioncited by 29
  37. 2023MVFusion: Multi-View 3D Object Detection with Semantic-aligned Radar and Camera Fusioncited by 29
  38. 2023BEVHeight++: Toward Robust Visual Centric 3D Object Detectioncited by 29

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