Sparse-to-Dense: Depth Prediction from Sparse Depth Samples and a Single Image
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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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Citing papers per year: 2021: 31; 2022: 39; 2023: 26; 2024: 28; 2025: 17; 2026: 18.
159 papers.
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- 2021PENet: Towards Precise and Efficient Image Guided Depth Completioncited by 146
- 2023CompletionFormer: Depth Completion with Convolutions and Vision Transformerscited by 92
- 2021RigNet: Repetitive Image Guided Network for Depth Completioncited by 80
- 2024How NeRFs and 3D Gaussian Splatting are Reshaping SLAM: a Surveycited by 72
- 2022Dynamic Spatial Propagation Network for Depth Completioncited by 70
- 2025Pow3R: Empowering Unconstrained 3D Reconstruction with Camera and Scene Priorscited by 69
- 2021RGB-D Local Implicit Function for Depth Completion of Transparent Objectscited by 64
- 2024Bilateral Propagation Network for Depth Completioncited by 59
- 2021CamLiFlow: Bidirectional Camera-LiDAR Fusion for Joint Optical Flow and Scene Flow Estimationcited by 56
- 2022TransCG: A Large-Scale Real-World Dataset for Transparent Object Depth Completion and a Grasping Baselinecited by 55
- 2021Radar-Camera Pixel Depth Association for Depth Completioncited by 49
- 2023LRRU: Long-short Range Recurrent Updating Networks for Depth Completioncited by 48
38 more
- 2024Marigold-DC: Zero-Shot Monocular Depth Completion with Guided Diffusioncited by 47
- 2022Towards Accurate Reconstruction of 3D Scene Shape from A Single Monocular Imagecited by 42
- 2021Depth Completion with Twin Surface Extrapolation at Occlusion Boundariescited by 41
- 2024Scaling Diffusion Models to Real-World 3D LiDAR Scene Completioncited by 40
- 2022SuperFusion: Multilevel LiDAR-Camera Fusion for Long-Range HD Map Generationcited by 39
- 2021Single Image Depth Estimation: An Overviewcited by 35
- 2022Deep Depth Completion from Extremely Sparse Data: A Surveycited by 33
- 2021Depth Estimation from Monocular Images and Sparse radar using Deep Ordinal Regression Networkcited by 32
- 2022Sparsity Agnostic Depth Completioncited by 27
- 2024DepthLab: From Partial to Completecited by 27
- 2021BIPS: Bi-modal Indoor Panorama Synthesis via Residual Depth-aided Adversarial Learningcited by 26
- 2021Depth Completion using Plane-Residual Representationcited by 24
- 2021Bayesian Deep Basis Fitting for Depth Completion with Uncertaintycited by 23
- 2022SemAttNet: Towards Attention-based Semantic Aware Guided Depth Completioncited by 23
- 2022GraphCSPN: Geometry-Aware Depth Completion via Dynamic GCNscited by 23
- 2024OGNI-DC: Robust Depth Completion with Optimization-Guided Neural Iterationscited by 23
- 2024RadarCam-Depth: Radar-Camera Fusion for Depth Estimation with Learned Metric Scalecited by 20
- 2022RGB-Depth Fusion GAN for Indoor Depth Completioncited by 18
- 2023Revisiting Depth Completion from a Stereo Matching Perspective for Cross-domain Generalizationcited by 18
- 2022Improving Monocular Visual Odometry Using Learned Depthcited by 17
- 2021Boosting Light-Weight Depth Estimation Via Knowledge Distillationcited by 16
- 2021CodeMapping: Real-Time Dense Mapping for Sparse SLAM using Compact Scene Representationscited by 16
- 2022Depth Map Decomposition for Monocular Depth Estimationcited by 16
- 2023Learning a Depth Covariance Functioncited by 16
- 2021Volumetric Propagation Network: Stereo-LiDAR Fusion for Long-Range Depth Estimationcited by 15
- 2022XRBench: An Extended Reality (XR) Machine Learning Benchmark Suite for the Metaversecited by 14
- 2025Distilling Monocular Foundation Model for Fine-grained Depth Completioncited by 14
- 2021Advancing Self-supervised Monocular Depth Learning with Sparse LiDARcited by 13
- 2022TODE-Trans: Transparent Object Depth Estimation with Transformercited by 13
- 2022Depth Completion using Geometry-Aware Embeddingcited by 12
- 2023G2-MonoDepth: A General Framework of Generalized Depth Inference from Monocular RGB+X Datacited by 12
- 2023Sparse Beats Dense: Rethinking Supervision in Radar-Camera Depth Completioncited by 12
- 2024CaFNet: A Confidence-Driven Framework for Radar Camera Depth Estimationcited by 12
- 2024Completion as Enhancement: A Degradation-Aware Selective Image Guided Network for Depth Completioncited by 12
- 2023RigNet++: Semantic Assisted Repetitive Image Guided Network for Depth Completioncited by 11
- 2021S3: Learnable Sparse Signal Superdensity for Guided Depth Estimationcited by 10
- 2022CroMo: Cross-Modal Learning for Monocular Depth Estimationcited by 10
- 2022Struct-MDC: Mesh-Refined Unsupervised Depth Completion Leveraging Structural Regularities from Visual SLAMcited by 10
50 most cited of 159 All 159 (JSON)
- 2026FounRef: Robust, Structure-Preserving, and Fast Metric Refinement of Frozen Monocular Foundation Priors with Sparse Anchors24 Sep 2026
- 2026Depth-to-Image Synthesis-Driven Generative Unguided Depth Completion5 Sep 2026
- 2026Learning-Based Motion Planning for Dynamic Environments: From Foundational Algorithms to Emerging Paradigms1 Aug 2026
- 2026The Multipath Blind Spot: K-Agnostic Robust Calibration for Sparse-Anchor Metric Depth from Frozen Foundations5 Jul 2026
- 2026Depth-Semantic Alignment and Affinity-Guided Fusion for Structured Radar Point Cloud Generation25 Jun 2026
- 2026Terastal: Layer-Variant-based Scheduling for Real-Time Multi-DNN Workloads on Heterogeneous Accelerators5 Jun 2026
- 2026Depth from Dual Differential Defocus and Stereo Consensus1 Jun 2026
- 2026EfficientPENet: Real-Time Depth Completion from Sparse LiDAR via Lightweight Multi-Modal Fusion20 Apr 2026
- 2026PTC-Depth: Pose-Refined Monocular Depth Estimation with Temporal Consistency2 Apr 2026
- 2026ToFormer: Towards Large-scale Scenario Depth Completion for Lightweight ToF Camera21 Mar 2026
- 2026Any to Full: Prompting Depth Anything for Depth Completion in One Stage5 Mar 2026
- 2026StreamTTO: Efficient Online Test-Time Optimization for Video Depth Completion2 Mar 2026
38 more
- 2026UniScale: Unified Scale-Aware 3D Reconstruction for Multi-View Understanding via Prior Injection for Robotic Perception26 Feb 2026
- 2026EndoDDC: Learning Sparse to Dense Reconstruction for Endoscopic Robotic Navigation via Diffusion Depth Completion25 Feb 2026
- 2026LiFlow: Flow Matching for 3D LiDAR Scene Completion2 Feb 2026
- 2026OASIS-DC: Generalizable Depth Completion via Output-level Alignment of Sparse-Integrated Monocular Pseudo Depth1 Feb 2026
- 2026Gaussian Belief Propagation Network for Depth Completion29 Jan 2026
- 2026Instance-Guided Radar Depth Estimation for 3D Object Detection27 Jan 2026
- 2025S2ML: Spatio-Spectral Mutual Learning for Depth Completion8 Nov 2025
- 2025TRIDE: A Text-assisted Radar-Image weather-aware fusion network for Depth Estimation11 Aug 2025
- 2025Propagating Sparse Depth via Depth Foundation Model for Out-of-Distribution Depth Completion7 Aug 2025
- 2025Training Self-Supervised Depth Completion Using Sparse Measurements and a Single Image20 Jul 2025
- 2025DeOcc-1-to-3: 3D De-Occlusion from a Single Image via Self-Supervised Multi-View Diffusion26 Jun 2025
- 2025Structure-Aware Radar-Camera Depth Estimation5 Jun 2025
- 2025Perfecting Depth: Uncertainty-Aware Enhancement of Metric Depth5 Jun 2025
- 2025Event-Driven Dynamic Scene Depth Completion19 May 2025
- 2025Depth as Points: Center Point-based Depth Estimation26 Apr 2025
- 2025LiDPM: Rethinking Point Diffusion for Lidar Scene Completion24 Apr 2025
- 2025All-day Depth Completion via Thermal-LiDAR Fusion3 Apr 2025
- 2025DenseFormer: Learning Dense Depth Map from Sparse Depth and Image via Conditional Diffusion Model31 Mar 2025
- 2025Pow3R: Empowering Unconstrained 3D Reconstruction with Camera and Scene Priors21 Mar 2025
- 2025Radar-Guided Polynomial Fitting for Metric Depth Estimation21 Mar 2025
- 2025Distilling Monocular Foundation Model for Fine-grained Depth Completion21 Mar 2025
- 2025MVGSR: Multi-View Consistency Gaussian Splatting for Robust Surface Reconstruction11 Mar 2025
- 2025Learning Inverse Laplacian Pyramid for Progressive Depth Completion11 Feb 2025
- 2024Completion as Enhancement: A Degradation-Aware Selective Image Guided Network for Depth Completion26 Dec 2024
- 2024DepthLab: From Partial to Complete24 Dec 2024
- 2024A Simple yet Effective Test-Time Adaptation for Zero-Shot Monocular Metric Depth Estimation18 Dec 2024
- 2024Marigold-DC: Zero-Shot Monocular Depth Completion with Guided Diffusion18 Dec 2024
- 2024Evolutionary Retrofitting15 Oct 2024
- 2024Deep Cost Ray Fusion for Sparse Depth Video Completion23 Sep 2024
- 2024SDformer: Efficient End-to-End Transformer for Depth Completion12 Sep 2024
- 2024Estimating Indoor Scene Depth Maps from Ultrasonic Echoes5 Sep 2024
- 2024GET-UP: GEomeTric-aware Depth Estimation with Radar Points UPsampling2 Sep 2024
- 2024CaFNet: A Confidence-Driven Framework for Radar Camera Depth Estimation30 Jun 2024
- 2024DoubleTake: Geometry Guided Depth Estimation26 Jun 2024
- 2024OGNI-DC: Robust Depth Completion with Optimization-Guided Neural Iterations17 Jun 2024
- 2024A Two-Stage Masked Autoencoder Based Network for Indoor Depth Completion14 Jun 2024
- 2024Gated Fields: Learning Scene Reconstruction from Gated Videos30 May 2024
- 2024Cross-spectral Gated-RGB Stereo Depth Estimation21 May 2024
50 newest of 159 All 159 (JSON)
- 2021PENet: Towards Precise and Efficient Image Guided Depth Completioncited by 146
- 2023CompletionFormer: Depth Completion with Convolutions and Vision Transformerscited by 92
- 2021RigNet: Repetitive Image Guided Network for Depth Completioncited by 80
- 2024How NeRFs and 3D Gaussian Splatting are Reshaping SLAM: a Surveycited by 72
- 2022Dynamic Spatial Propagation Network for Depth Completioncited by 70
- 2025Pow3R: Empowering Unconstrained 3D Reconstruction with Camera and Scene Priorscited by 69
- 2021RGB-D Local Implicit Function for Depth Completion of Transparent Objectscited by 64
- 2024Bilateral Propagation Network for Depth Completioncited by 59
- 2021CamLiFlow: Bidirectional Camera-LiDAR Fusion for Joint Optical Flow and Scene Flow Estimationcited by 56
- 2022TransCG: A Large-Scale Real-World Dataset for Transparent Object Depth Completion and a Grasping Baselinecited by 55
- 2021Radar-Camera Pixel Depth Association for Depth Completioncited by 49
- 2023LRRU: Long-short Range Recurrent Updating Networks for Depth Completioncited by 48
12 most cited of 154 All 154 (JSON)
- 2026FounRef: Robust, Structure-Preserving, and Fast Metric Refinement of Frozen Monocular Foundation Priors with Sparse Anchors24 Sep 2026
- 2026Depth-to-Image Synthesis-Driven Generative Unguided Depth Completion5 Sep 2026
- 2026Learning-Based Motion Planning for Dynamic Environments: From Foundational Algorithms to Emerging Paradigms1 Aug 2026
- 2026The Multipath Blind Spot: K-Agnostic Robust Calibration for Sparse-Anchor Metric Depth from Frozen Foundations5 Jul 2026
- 2026Depth-Semantic Alignment and Affinity-Guided Fusion for Structured Radar Point Cloud Generation25 Jun 2026
- 2026Terastal: Layer-Variant-based Scheduling for Real-Time Multi-DNN Workloads on Heterogeneous Accelerators5 Jun 2026
- 2026Depth from Dual Differential Defocus and Stereo Consensus1 Jun 2026
- 2026EfficientPENet: Real-Time Depth Completion from Sparse LiDAR via Lightweight Multi-Modal Fusion20 Apr 2026
- 2026PTC-Depth: Pose-Refined Monocular Depth Estimation with Temporal Consistency2 Apr 2026
- 2026ToFormer: Towards Large-scale Scenario Depth Completion for Lightweight ToF Camera21 Mar 2026
- 2026Any to Full: Prompting Depth Anything for Depth Completion in One Stage5 Mar 2026
- 2026StreamTTO: Efficient Online Test-Time Optimization for Video Depth Completion2 Mar 2026
12 newest of 154 All 154 (JSON)