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Depth Coefficients for Depth Completion

arXiv 1903.05421 ↗First posted 13 Mar 2019cs.CVcited by 41

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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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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 10; 2022: 12; 2023: 4; 2024: 10; 2025: 3; 2026: 2.

41 papers.

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  1. 2021RigNet: Repetitive Image Guided Network for Depth Completioncited by 80
  2. 2022PNI : Industrial Anomaly Detection using Position and Neighborhood Informationcited by 69
  3. 2024Bilateral Propagation Network for Depth Completioncited by 59
  4. 2021Radar-Camera Pixel Depth Association for Depth Completioncited by 49
  5. 2024Marigold-DC: Zero-Shot Monocular Depth Completion with Guided Diffusioncited by 47
  6. 2022Towards Accurate Reconstruction of 3D Scene Shape from A Single Monocular Imagecited by 42
  7. 2021Depth Completion with Twin Surface Extrapolation at Occlusion Boundariescited by 41
  8. 2021Sparse Auxiliary Networks for Unified Monocular Depth Prediction and Completioncited by 39
  9. 2022Deep Depth Completion from Extremely Sparse Data: A Surveycited by 33
  10. 2021Depth Completion using Plane-Residual Representationcited by 24
  11. 2022GraphCSPN: Geometry-Aware Depth Completion via Dynamic GCNscited by 23
  12. 2021A Surface Geometry Model for LiDAR Depth Completioncited by 18
29 more
  1. 2022RGB-Depth Fusion GAN for Indoor Depth Completioncited by 18
  2. 2021DenseLiDAR: A Real-Time Pseudo Dense Depth Guided Depth Completion Networkcited by 17
  3. 2021Full-Velocity Radar Returns by Radar-Camera Fusioncited by 16
  4. 2023Sparse Beats Dense: Rethinking Supervision in Radar-Camera Depth Completioncited by 12
  5. 2023NDDepth: Normal-Distance Assisted Monocular Depth Estimation and Completioncited by 8
  6. 2022MIPI 2022 Challenge on RGB+ToF Depth Completion: Dataset and Reportcited by 7
  7. 2023RDFC-GAN: RGB-Depth Fusion CycleGAN for Indoor Depth Completioncited by 7
  8. 2022A Low Memory Footprint Quantized Neural Network for Depth Completion of Very Sparse Time-of-Flight Depth Mapscited by 6
  9. 2022Towards Domain-agnostic Depth Completioncited by 6
  10. 2022Learning an Efficient Multimodal Depth Completion Modelcited by 6
  11. 2022SemSegDepth: A Combined Model for Semantic Segmentation and Depth Completioncited by 5
  12. 2024Masked Spatial Propagation Network for Sparsity-Adaptive Depth Refinementcited by 5
  13. 2021Differentiable Diffusion for Dense Depth Estimation from Multi-view Imagescited by 4
  14. 2023MIPI 2023 Challenge on RGB+ToF Depth Completion: Methods and Resultscited by 4
  15. 2025Bridging Spectral-wise and Multi-spectral Depth Estimation via Geometry-guided Contrastive Learningcited by 3
  16. 2026Depth Completion as Parameter-Efficient Test-Time Adaptationcited by 3
  17. 2024Depth on Demand: Streaming Dense Depth from a Low Frame Rate Active Sensorcited by 2
  18. 2021Monocular Depth Estimation Primed by Salient Point Detection and Normalized Hessian Losscited by 1
  19. 2024A Concise but High-performing Network for Image Guided Depth Completion in Autonomous Drivingcited by 1
  20. 2024Progressive Depth Decoupling and Modulating for Flexible Depth Completioncited by 1
  21. 2025DenseFormer: Learning Dense Depth Map from Sparse Depth and Image via Conditional Diffusion Modelcited by 1
  22. 2022TerrainMesh: Metric-Semantic Terrain Reconstruction from Aerial Images Using Joint 2D-3D Learningcited by 0
  23. 2022Spacecraft depth completion based on the gray image and the sparse depth mapcited by 0
  24. 2024Mask-adaptive Gated Convolution and Bi-directional Progressive Fusion Network for Depth Completioncited by 0
  25. 2024Learning Pixel-wise Continuous Depth Representation via Clustering for Depth Completioncited by 0
  26. 2024Scene Depth Estimation from Traditional Oriental Landscape Paintingscited by 0
  27. 2024Deep Cost Ray Fusion for Sparse Depth Video Completioncited by 0
  28. 2025Training Self-Supervised Depth Completion Using Sparse Measurements and a Single Imagecited by 0
  29. 2026Depth from Dual Differential Defocus and Stereo Consensuscited by 0