Depth Coefficients for Depth Completion
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Abstract (arXiv)
Depth completion involves estimating a dense depth image from sparse depth measurements, often guided by a color image. While linear upsampling is straight forward, it results in artifacts including depth pixels being interpolated in empty space across discontinuities between objects. Current methods use deep networks to upsample and "complete" the missing depth pixels. Nevertheless, depth smearing between objects remains a challenge. We propose a new representation for depth called Depth Coefficients (DC) to address this problem. It enables convolutions to more easily avoid inter-object depth mixing. We also show that the standard Mean Squared Error (MSE) loss function can promote depth mixing, and thus propose instead to use cross-entropy loss for DC. With quantitative and qualitative evaluation on benchmarks, we show that switching out sparse depth input and MSE loss with our DC representation and cross-entropy loss is a simple way to improve depth completion performance, and reduce pixel depth mixing, which leads to improved depth-based object detection.
Key facts. Cited by 41 papers in the map (data through 7 Oct 2026). First posted on arXiv 13 Mar 2019.
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Citing papers per year: 2021: 10; 2022: 12; 2023: 4; 2024: 10; 2025: 3; 2026: 2.
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- 2021RigNet: Repetitive Image Guided Network for Depth Completioncited by 80
- 2022PNI : Industrial Anomaly Detection using Position and Neighborhood Informationcited by 69
- 2024Bilateral Propagation Network for Depth Completioncited by 59
- 2021Radar-Camera Pixel Depth Association for Depth Completioncited by 49
- 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
- 2021Sparse Auxiliary Networks for Unified Monocular Depth Prediction and Completioncited by 39
- 2022Deep Depth Completion from Extremely Sparse Data: A Surveycited by 33
- 2021Depth Completion using Plane-Residual Representationcited by 24
- 2022GraphCSPN: Geometry-Aware Depth Completion via Dynamic GCNscited by 23
- 2021A Surface Geometry Model for LiDAR Depth Completioncited by 18
29 more
- 2022RGB-Depth Fusion GAN for Indoor Depth Completioncited by 18
- 2021DenseLiDAR: A Real-Time Pseudo Dense Depth Guided Depth Completion Networkcited by 17
- 2021Full-Velocity Radar Returns by Radar-Camera Fusioncited by 16
- 2023Sparse Beats Dense: Rethinking Supervision in Radar-Camera Depth Completioncited by 12
- 2023NDDepth: Normal-Distance Assisted Monocular Depth Estimation and Completioncited by 8
- 2022MIPI 2022 Challenge on RGB+ToF Depth Completion: Dataset and Reportcited by 7
- 2023RDFC-GAN: RGB-Depth Fusion CycleGAN for Indoor Depth Completioncited by 7
- 2022A Low Memory Footprint Quantized Neural Network for Depth Completion of Very Sparse Time-of-Flight Depth Mapscited by 6
- 2022Towards Domain-agnostic Depth Completioncited by 6
- 2022Learning an Efficient Multimodal Depth Completion Modelcited by 6
- 2022SemSegDepth: A Combined Model for Semantic Segmentation and Depth Completioncited by 5
- 2024Masked Spatial Propagation Network for Sparsity-Adaptive Depth Refinementcited by 5
- 2021Differentiable Diffusion for Dense Depth Estimation from Multi-view Imagescited by 4
- 2023MIPI 2023 Challenge on RGB+ToF Depth Completion: Methods and Resultscited by 4
- 2025Bridging Spectral-wise and Multi-spectral Depth Estimation via Geometry-guided Contrastive Learningcited by 3
- 2026Depth Completion as Parameter-Efficient Test-Time Adaptationcited by 3
- 2024Depth on Demand: Streaming Dense Depth from a Low Frame Rate Active Sensorcited by 2
- 2021Monocular Depth Estimation Primed by Salient Point Detection and Normalized Hessian Losscited by 1
- 2024A Concise but High-performing Network for Image Guided Depth Completion in Autonomous Drivingcited by 1
- 2024Progressive Depth Decoupling and Modulating for Flexible Depth Completioncited by 1
- 2025DenseFormer: Learning Dense Depth Map from Sparse Depth and Image via Conditional Diffusion Modelcited by 1
- 2022TerrainMesh: Metric-Semantic Terrain Reconstruction from Aerial Images Using Joint 2D-3D Learningcited by 0
- 2022Spacecraft depth completion based on the gray image and the sparse depth mapcited by 0
- 2024Mask-adaptive Gated Convolution and Bi-directional Progressive Fusion Network for Depth Completioncited by 0
- 2024Learning Pixel-wise Continuous Depth Representation via Clustering for Depth Completioncited by 0
- 2024Scene Depth Estimation from Traditional Oriental Landscape Paintingscited by 0
- 2024Deep Cost Ray Fusion for Sparse Depth Video Completioncited by 0
- 2025Training Self-Supervised Depth Completion Using Sparse Measurements and a Single Imagecited by 0
- 2026Depth from Dual Differential Defocus and Stereo Consensuscited by 0
- 2026Depth from Dual Differential Defocus and Stereo Consensus1 Jun 2026
- 2026Depth Completion as Parameter-Efficient Test-Time Adaptation16 Feb 2026
- 2025Training Self-Supervised Depth Completion Using Sparse Measurements and a Single Image20 Jul 2025
- 2025DenseFormer: Learning Dense Depth Map from Sparse Depth and Image via Conditional Diffusion Model31 Mar 2025
- 2025Bridging Spectral-wise and Multi-spectral Depth Estimation via Geometry-guided Contrastive Learning2 Mar 2025
- 2024Marigold-DC: Zero-Shot Monocular Depth Completion with Guided Diffusion18 Dec 2024
- 2024Deep Cost Ray Fusion for Sparse Depth Video Completion23 Sep 2024
- 2024Depth on Demand: Streaming Dense Depth from a Low Frame Rate Active Sensor12 Sep 2024
- 2024Progressive Depth Decoupling and Modulating for Flexible Depth Completion15 May 2024
- 2024Masked Spatial Propagation Network for Sparsity-Adaptive Depth Refinement30 Apr 2024
- 2024Bilateral Propagation Network for Depth Completion17 Mar 2024
- 2024Scene Depth Estimation from Traditional Oriental Landscape Paintings6 Mar 2024
29 more
- 2024Learning Pixel-wise Continuous Depth Representation via Clustering for Depth Completion21 Feb 2024
- 2024A Concise but High-performing Network for Image Guided Depth Completion in Autonomous Driving29 Jan 2024
- 2024Mask-adaptive Gated Convolution and Bi-directional Progressive Fusion Network for Depth Completion15 Jan 2024
- 2023Sparse Beats Dense: Rethinking Supervision in Radar-Camera Depth Completion1 Dec 2023
- 2023NDDepth: Normal-Distance Assisted Monocular Depth Estimation and Completion13 Nov 2023
- 2023RDFC-GAN: RGB-Depth Fusion CycleGAN for Indoor Depth Completion6 Jun 2023
- 2023MIPI 2023 Challenge on RGB+ToF Depth Completion: Methods and Results27 Apr 2023
- 2022PNI : Industrial Anomaly Detection using Position and Neighborhood Information22 Nov 2022
- 2022GraphCSPN: Geometry-Aware Depth Completion via Dynamic GCNs19 Oct 2022
- 2022MIPI 2022 Challenge on RGB+ToF Depth Completion: Dataset and Report15 Sep 2022
- 2022SemSegDepth: A Combined Model for Semantic Segmentation and Depth Completion1 Sep 2022
- 2022Spacecraft depth completion based on the gray image and the sparse depth map30 Aug 2022
- 2022Towards Accurate Reconstruction of 3D Scene Shape from A Single Monocular Image28 Aug 2022
- 2022Learning an Efficient Multimodal Depth Completion Model23 Aug 2022
- 2022Towards Domain-agnostic Depth Completion29 Jul 2022
- 2022A Low Memory Footprint Quantized Neural Network for Depth Completion of Very Sparse Time-of-Flight Depth Maps25 May 2022
- 2022Deep Depth Completion from Extremely Sparse Data: A Survey11 May 2022
- 2022TerrainMesh: Metric-Semantic Terrain Reconstruction from Aerial Images Using Joint 2D-3D Learning23 Apr 2022
- 2022RGB-Depth Fusion GAN for Indoor Depth Completion21 Mar 2022
- 2021DenseLiDAR: A Real-Time Pseudo Dense Depth Guided Depth Completion Network28 Aug 2021
- 2021Monocular Depth Estimation Primed by Salient Point Detection and Normalized Hessian Loss25 Aug 2021
- 2021Full-Velocity Radar Returns by Radar-Camera Fusion24 Aug 2021
- 2021RigNet: Repetitive Image Guided Network for Depth Completion29 Jul 2021
- 2021Differentiable Diffusion for Dense Depth Estimation from Multi-view Images16 Jun 2021
- 2021Radar-Camera Pixel Depth Association for Depth Completion5 Jun 2021
- 2021A Surface Geometry Model for LiDAR Depth Completion17 Apr 2021
- 2021Depth Completion using Plane-Residual Representation15 Apr 2021
- 2021Depth Completion with Twin Surface Extrapolation at Occlusion Boundaries6 Apr 2021
- 2021Sparse Auxiliary Networks for Unified Monocular Depth Prediction and Completion30 Mar 2021
- 2021RigNet: Repetitive Image Guided Network for Depth Completioncited by 80
- 2022PNI : Industrial Anomaly Detection using Position and Neighborhood Informationcited by 69
- 2024Bilateral Propagation Network for Depth Completioncited by 59
- 2021Radar-Camera Pixel Depth Association for Depth Completioncited by 49
- 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
- 2021Sparse Auxiliary Networks for Unified Monocular Depth Prediction and Completioncited by 39
- 2022Deep Depth Completion from Extremely Sparse Data: A Surveycited by 33
- 2021Depth Completion using Plane-Residual Representationcited by 24
- 2022GraphCSPN: Geometry-Aware Depth Completion via Dynamic GCNscited by 23
- 2021A Surface Geometry Model for LiDAR Depth Completioncited by 18
- 2022RGB-Depth Fusion GAN for Indoor Depth Completioncited by 18
12 most cited of 39 All 39 (JSON)
- 2026Depth from Dual Differential Defocus and Stereo Consensus1 Jun 2026
- 2026Depth Completion as Parameter-Efficient Test-Time Adaptation16 Feb 2026
- 2025Training Self-Supervised Depth Completion Using Sparse Measurements and a Single Image20 Jul 2025
- 2025Bridging Spectral-wise and Multi-spectral Depth Estimation via Geometry-guided Contrastive Learning2 Mar 2025
- 2024Deep Cost Ray Fusion for Sparse Depth Video Completion23 Sep 2024
- 2024Depth on Demand: Streaming Dense Depth from a Low Frame Rate Active Sensor12 Sep 2024
- 2024Progressive Depth Decoupling and Modulating for Flexible Depth Completion15 May 2024
- 2024Masked Spatial Propagation Network for Sparsity-Adaptive Depth Refinement30 Apr 2024
- 2024Bilateral Propagation Network for Depth Completion17 Mar 2024
- 2024Scene Depth Estimation from Traditional Oriental Landscape Paintings6 Mar 2024
- 2024Learning Pixel-wise Continuous Depth Representation via Clustering for Depth Completion21 Feb 2024
- 2024A Concise but High-performing Network for Image Guided Depth Completion in Autonomous Driving29 Jan 2024
12 newest of 39 All 39 (JSON)