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Sparse-to-Dense: Depth Prediction from Sparse Depth Samples and a Single Image

arXiv 1709.07492 ↗First posted 21 Sep 2017cs.RO cs.AI cs.CVcited by 159

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Abstract (arXiv)

We consider the problem of dense depth prediction from a sparse set of depth measurements and a single RGB image. Since depth estimation from monocular images alone is inherently ambiguous and unreliable, to attain a higher level of robustness and accuracy, we introduce additional sparse depth samples, which are either acquired with a low-resolution depth sensor or computed via visual Simultaneous Localization and Mapping (SLAM) algorithms. We propose the use of a single deep regression network to learn directly from the RGB-D raw data, and explore the impact of number of depth samples on prediction accuracy. Our experiments show that, compared to using only RGB images, the addition of 100 spatially random depth samples reduces the prediction root-mean-square error by 50% on the NYU-Depth-v2 indoor dataset. It also boosts the percentage of reliable prediction from 59% to 92% on the KITTI dataset. We demonstrate two applications of the proposed algorithm: a plug-in module in SLAM to convert sparse maps to dense maps, and super-resolution for LiDARs. Software and video demonstration are publicly available.

Key facts. Cited by 159 papers in the map (data through 7 Oct 2026). First posted on arXiv 21 Sep 2017.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 31; 2022: 39; 2023: 26; 2024: 28; 2025: 17; 2026: 18.

159 papers.

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  1. 2021PENet: Towards Precise and Efficient Image Guided Depth Completioncited by 146
  2. 2023CompletionFormer: Depth Completion with Convolutions and Vision Transformerscited by 92
  3. 2021RigNet: Repetitive Image Guided Network for Depth Completioncited by 80
  4. 2024How NeRFs and 3D Gaussian Splatting are Reshaping SLAM: a Surveycited by 72
  5. 2022Dynamic Spatial Propagation Network for Depth Completioncited by 70
  6. 2025Pow3R: Empowering Unconstrained 3D Reconstruction with Camera and Scene Priorscited by 69
  7. 2021RGB-D Local Implicit Function for Depth Completion of Transparent Objectscited by 64
  8. 2024Bilateral Propagation Network for Depth Completioncited by 59
  9. 2021CamLiFlow: Bidirectional Camera-LiDAR Fusion for Joint Optical Flow and Scene Flow Estimationcited by 56
  10. 2022TransCG: A Large-Scale Real-World Dataset for Transparent Object Depth Completion and a Grasping Baselinecited by 55
  11. 2021Radar-Camera Pixel Depth Association for Depth Completioncited by 49
  12. 2023LRRU: Long-short Range Recurrent Updating Networks for Depth Completioncited by 48
38 more
  1. 2024Marigold-DC: Zero-Shot Monocular Depth Completion with Guided Diffusioncited by 47
  2. 2022Towards Accurate Reconstruction of 3D Scene Shape from A Single Monocular Imagecited by 42
  3. 2021Depth Completion with Twin Surface Extrapolation at Occlusion Boundariescited by 41
  4. 2024Scaling Diffusion Models to Real-World 3D LiDAR Scene Completioncited by 40
  5. 2022SuperFusion: Multilevel LiDAR-Camera Fusion for Long-Range HD Map Generationcited by 39
  6. 2021Single Image Depth Estimation: An Overviewcited by 35
  7. 2022Deep Depth Completion from Extremely Sparse Data: A Surveycited by 33
  8. 2021Depth Estimation from Monocular Images and Sparse radar using Deep Ordinal Regression Networkcited by 32
  9. 2022Sparsity Agnostic Depth Completioncited by 27
  10. 2024DepthLab: From Partial to Completecited by 27
  11. 2021BIPS: Bi-modal Indoor Panorama Synthesis via Residual Depth-aided Adversarial Learningcited by 26
  12. 2021Depth Completion using Plane-Residual Representationcited by 24
  13. 2021Bayesian Deep Basis Fitting for Depth Completion with Uncertaintycited by 23
  14. 2022SemAttNet: Towards Attention-based Semantic Aware Guided Depth Completioncited by 23
  15. 2022GraphCSPN: Geometry-Aware Depth Completion via Dynamic GCNscited by 23
  16. 2024OGNI-DC: Robust Depth Completion with Optimization-Guided Neural Iterationscited by 23
  17. 2024RadarCam-Depth: Radar-Camera Fusion for Depth Estimation with Learned Metric Scalecited by 20
  18. 2022RGB-Depth Fusion GAN for Indoor Depth Completioncited by 18
  19. 2023Revisiting Depth Completion from a Stereo Matching Perspective for Cross-domain Generalizationcited by 18
  20. 2022Improving Monocular Visual Odometry Using Learned Depthcited by 17
  21. 2021Boosting Light-Weight Depth Estimation Via Knowledge Distillationcited by 16
  22. 2021CodeMapping: Real-Time Dense Mapping for Sparse SLAM using Compact Scene Representationscited by 16
  23. 2022Depth Map Decomposition for Monocular Depth Estimationcited by 16
  24. 2023Learning a Depth Covariance Functioncited by 16
  25. 2021Volumetric Propagation Network: Stereo-LiDAR Fusion for Long-Range Depth Estimationcited by 15
  26. 2022XRBench: An Extended Reality (XR) Machine Learning Benchmark Suite for the Metaversecited by 14
  27. 2025Distilling Monocular Foundation Model for Fine-grained Depth Completioncited by 14
  28. 2021Advancing Self-supervised Monocular Depth Learning with Sparse LiDARcited by 13
  29. 2022TODE-Trans: Transparent Object Depth Estimation with Transformercited by 13
  30. 2022Depth Completion using Geometry-Aware Embeddingcited by 12
  31. 2023G2-MonoDepth: A General Framework of Generalized Depth Inference from Monocular RGB+X Datacited by 12
  32. 2023Sparse Beats Dense: Rethinking Supervision in Radar-Camera Depth Completioncited by 12
  33. 2024CaFNet: A Confidence-Driven Framework for Radar Camera Depth Estimationcited by 12
  34. 2024Completion as Enhancement: A Degradation-Aware Selective Image Guided Network for Depth Completioncited by 12
  35. 2023RigNet++: Semantic Assisted Repetitive Image Guided Network for Depth Completioncited by 11
  36. 2021S3: Learnable Sparse Signal Superdensity for Guided Depth Estimationcited by 10
  37. 2022CroMo: Cross-Modal Learning for Monocular Depth Estimationcited by 10
  38. 2022Struct-MDC: Mesh-Refined Unsupervised Depth Completion Leveraging Structural Regularities from Visual SLAMcited by 10

50 most cited of 159 All 159 (JSON)