Sparsity Invariant CNNs
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Abstract (arXiv)
In this paper, we consider convolutional neural networks operating on sparse inputs with an application to depth upsampling from sparse laser scan data. First, we show that traditional convolutional networks perform poorly when applied to sparse data even when the location of missing data is provided to the network. To overcome this problem, we propose a simple yet effective sparse convolution layer which explicitly considers the location of missing data during the convolution operation. We demonstrate the benefits of the proposed network architecture in synthetic and real experiments with respect to various baseline approaches. Compared to dense baselines, the proposed sparse convolution network generalizes well to novel datasets and is invariant to the level of sparsity in the data. For our evaluation, we derive a novel dataset from the KITTI benchmark, comprising 93k depth annotated RGB images. Our dataset allows for training and evaluating depth upsampling and depth prediction techniques in challenging real-world settings and will be made available upon publication.
Key facts. Cited by 326 papers in the map (data through 14 Oct 2026). First posted on arXiv 22 Aug 2017.
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Citing papers per year: 2021: 68; 2022: 70; 2023: 60; 2024: 57; 2025: 37; 2026: 34.
326 papers.
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- 2021DSEC: A Stereo Event Camera Dataset for Driving Scenarioscited by 303
- 2024MoGe: Unlocking Accurate Monocular Geometry Estimation for Open-Domain Images with Optimal Training Supervisioncited by 299
- 2025MoGe-2: Accurate Monocular Geometry with Metric Scale and Sharp Detailscited by 261
- 2021The Temporal Opportunist: Self-Supervised Multi-Frame Monocular Depthcited by 190
- 2022BinsFormer: Revisiting Adaptive Bins for Monocular Depth Estimationcited by 168
- 2021Multimodal Virtual Point 3D Detectioncited by 166
- 2022Panoptic NeRF: 3D-to-2D Label Transfer for Panoptic Urban Scene Segmentationcited by 152
- 2024SpatialBot: Precise Spatial Understanding with Vision Language Modelscited by 152
- 2021PENet: Towards Precise and Efficient Image Guided Depth Completioncited by 146
- 2022MonoViT: Self-Supervised Monocular Depth Estimation with a Vision Transformercited by 136
- 2024CoR-GS: Sparse-View 3D Gaussian Splatting via Co-Regularizationcited by 121
- 2022DepthFormer: Exploiting Long-Range Correlation and Local Information for Accurate Monocular Depth Estimationcited by 118
38 more
- 2023Towards Zero-Shot Scale-Aware Monocular Depth Estimationcited by 101
- 2023CompletionFormer: Depth Completion with Convolutions and Vision Transformerscited by 93
- 2021RigNet: Repetitive Image Guided Network for Depth Completioncited by 80
- 2023Point Cloud Forecasting as a Proxy for 4D Occupancy Forecastingcited by 78
- 2023UltraLiDAR: Learning Compact Representations for LiDAR Completion and Generationcited by 78
- 2022Dynamic Spatial Propagation Network for Depth Completioncited by 71
- 2021RGB-D Local Implicit Function for Depth Completion of Transparent Objectscited by 64
- 2022Multi-Frame Self-Supervised Depth with Transformerscited by 64
- 2021Channel-Wise Attention-Based Network for Self-Supervised Monocular Depth Estimationcited by 63
- 2021Unsupervised Depth Completion with Calibrated Backprojection Layerscited by 61
- 2024Bilateral Propagation Network for Depth Completioncited by 60
- 2021EPMF: Efficient Perception-aware Multi-sensor Fusion for 3D Semantic Segmentationcited by 59
- 2021OmniDet: Surround View Cameras based Multi-task Visual Perception Network for Autonomous Drivingcited by 57
- 2023IEBins: Iterative Elastic Bins for Monocular Depth Estimationcited by 54
- 2021Radar-Camera Pixel Depth Association for Depth Completioncited by 50
- 2022Domain Randomization-Enhanced Depth Simulation and Restoration for Perceiving and Grasping Specular and Transparent Objectscited by 50
- 2024Marigold-DC: Zero-Shot Monocular Depth Completion with Guided Diffusioncited by 50
- 2023LRRU: Long-short Range Recurrent Updating Networks for Depth Completioncited by 49
- 2023RoboDepth: Robust Out-of-Distribution Depth Estimation under Corruptionscited by 49
- 2022Disentangling Object Motion and Occlusion for Unsupervised Multi-frame Monocular Depthcited by 48
- 2023OmniVec: Learning robust representations with cross modal sharingcited by 44
- 2026Image Generators are Generalist Vision Learnerscited by 43
- 2022Towards Accurate Reconstruction of 3D Scene Shape from A Single Monocular Imagecited by 42
- 2024Tri-Perspective View Decomposition for Geometry-Aware Depth Completioncited 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
- 2022Achieving Risk Control in Online Learning Settingscited by 39
- 2022A Benchmark and a Baseline for Robust Multi-view Depth Estimationcited by 39
- 2021Learning Topology from Synthetic Data for Unsupervised Depth Completioncited by 38
- 2023Exploiting Diffusion Prior for Generalizable Dense Predictioncited by 38
- 2022RA-Depth: Resolution Adaptive Self-Supervised Monocular Depth Estimationcited by 36
- 2021Differentiable SLAM-net: Learning Particle SLAM for Visual Navigationcited by 34
- 2021Single Image Depth Prediction with Wavelet Decompositioncited by 34
- 2022Deep Depth Completion from Extremely Sparse Data: A Surveycited by 33
- 2023Booster: a Benchmark for Depth from Images of Specular and Transparent Surfacescited by 33
- 2022PlaneDepth: Self-supervised Depth Estimation via Orthogonal Planescited by 32
- 2021PLADE-Net: Towards Pixel-Level Accuracy for Self-Supervised Single-View Depth Estimation with Neural Positional Encoding and Distilled Matting Losscited by 31
- 2023FreeReg: Image-to-Point Cloud Registration Leveraging Pretrained Diffusion Models and Monocular Depth Estimatorscited by 31
50 most cited of 326 All 326 (JSON)
- 2026The Midas Touch for Metric Depth: Interpretable Metricization for Generalizable Depth Perception12 Oct 2026
- 2026ARROW: Arbitrary Reconstruction and Tracking of 4D Observations in the Wild1 Oct 2026
- 2026Marigold V2: Revisiting Diffusion Transformers for Monocular Depth Estimation8 Sep 2026
- 2026Depth-to-Image Synthesis-Driven Generative Unguided Depth Completion5 Sep 2026
- 2026MuyBridge: Mobile Human Center-of-Mass Estimation from Monocular Video via Sparse Fusion2 Sep 2026
- 2026A Calibration Audit of Confidence in Feed-Forward 3D Reconstruction Models30 Aug 2026
- 2026Dense Metric Depth Completion from Sparse Direct Time-of-Flight Sensors5 Aug 2026
- 2026JEPADepth: Masked Predictive Representation Learning for Self-Supervised Monocular Depth Estimation29 Jul 2026
- 2026MoGe-3: Fine-Detail Monocular Geometry Estimation with Self-Guided Sparse Volumetric Refinement20 Jul 2026
- 2026DeGuNet: Depth-Guided Ultra-Compact Backbones for Efficient LiDAR-Camera 3D Detection14 Jul 2026
- 2026FoundationGeo: Learning Spatial Pixel-Wise Fields for Monocular Metric Geometry13 Jul 2026
- 2026Towards Robust Driving Perception: A Flexible Scale-Driven Family for Self-Supervised Monocular Depth Estimation1 Jul 2026
38 more
- 2026DepthMaster: Unified Monocular Depth Estimation for Perspective and Panoramic Images10 Jun 2026
- 2026Honey, I Shrunk the Arc de Triomphe!1 Jun 2026
- 2026VG2GT: Voxel-Gaussian Splatting Visual Geometry Grounded Transformer1 Jun 2026
- 2026SurGe: Improved Surface Geometry in Point Maps29 May 2026
- 2026Large Depth Completion Model from Sparse Observations28 May 2026
- 2026SA4Depth: Consistent Pose-Depth Scale Alignment for Self-Supervised Monocular Depth Estimation27 May 2026
- 2026A Data Efficiency Study of Synthetic Fog for Object Detection Using the Clear2Fog Pipeline12 May 2026
- 2026Selection, Not Fusion: Radar-Modulated State Space Models for Radar-Camera Depth Estimation12 May 2026
- 2026CARD: A Multi-Modal Automotive Dataset for Dense 3D Reconstruction in Challenging Road Topography6 May 2026
- 2026Image Generators are Generalist Vision Learners22 Apr 2026
- 2026EfficientPENet: Real-Time Depth Completion from Sparse LiDAR via Lightweight Multi-Modal Fusion20 Apr 2026
- 2026SceneScribe-1M: A Large-Scale Video Dataset with Comprehensive Geometric and Semantic Annotations9 Apr 2026
- 2026From None to All: Self-Supervised 3D Reconstruction via Novel View Synthesis29 Mar 2026
- 2026DepthTCM: High Efficient Depth Compression via Physics-aware Transformer-CNN Mixed Architecture22 Mar 2026
- 2026ToFormer: Towards Large-scale Scenario Depth Completion for Lightweight ToF Camera21 Mar 2026
- 2026AURORA-KITTI: Any-Weather Depth Completion and Denoising16 Mar 2026
- 2026Need for Speed: Zero-Shot Depth Completion with Single-Step Diffusion11 Mar 2026
- 2026Any to Full: Prompting Depth Anything for Depth Completion in One Stage5 Mar 2026
- 2026TruckDrive: Long-Range Autonomous Highway Driving Dataset2 Mar 2026
- 2026WildCross: A Cross-Modal Large Scale Benchmark for Place Recognition and Metric Depth Estimation in Natural Environments2 Mar 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
- 2025StarryGazer: Leveraging Monocular Depth Estimation Models for Domain-Agnostic Single Depth Image Completion15 Dec 2025
- 2025Accuracy Does Not Guarantee Human-Likeness: Cross-Domain Human-Centered Benchmark in Monocular Depth Estimation9 Dec 2025
- 2025Gamma-from-Mono: Road-Relative, Metric, Self-Supervised Monocular Geometry for Vehicular Applications3 Dec 2025
- 2025Fin3R: Fine-tuning Feed-forward 3D Reconstruction Models via Monocular Knowledge Distillation27 Nov 2025
- 2025MuM: Multi-View Masked Image Modeling for 3D Vision21 Nov 2025
- 2025Lite Any Stereo: Efficient Zero-Shot Stereo Matching20 Nov 2025
- 2025Co-Me: Confidence-Guided Token Merging for Visual Geometric Transformers18 Nov 2025
- 2025Torch-Uncertainty: A Deep Learning Framework for Uncertainty Quantification13 Nov 2025
- 2025Generative Semantic Coding for Ultra-Low Bitrate Visual Communication and Analysis31 Oct 2025
- 2025Toward A Better Understanding of Monocular Depth Evaluation22 Oct 2025
- 2025Hybrid-grained Feature Aggregation with Coarse-to-fine Language Guidance for Self-supervised Monocular Depth Estimation10 Oct 2025
- 2025DEPTHOR++: Robust Depth Enhancement from a Real-World Lightweight dToF and RGB Guidance30 Sep 2025
- 2025CCNeXt: An Effective Self-Supervised Stereo Depth Estimation Approach26 Sep 2025
- 2025Towards Sharper Object Boundaries in Self-Supervised Depth Estimation19 Sep 2025
- 2025ROVR-Open-Dataset: A Large-Scale Depth Dataset for Autonomous Driving19 Aug 2025
- 2025ETA: Energy-based Test-time Adaptation for Depth Completion8 Aug 2025
50 newest of 326 All 326 (JSON)
- 2024Marigold-DC: Zero-Shot Monocular Depth Completion with Guided Diffusioncited by 50
- 2023Exploiting Diffusion Prior for Generalizable Dense Predictioncited by 38
- 2023FreeReg: Image-to-Point Cloud Registration Leveraging Pretrained Diffusion Models and Monocular Depth Estimatorscited by 31
- 2025Jasmine: Harnessing Diffusion Prior for Self-supervised Depth Estimationcited by 21
- 2023MonoDiffusion: Self-Supervised Monocular Depth Estimation Using Diffusion Modelcited by 13
- 2025Diff2I2P: Differentiable Image-to-Point Cloud Registration with Diffusion Priorcited by 8
- 2025Zero-shot Depth Completion via Test-time Alignment with Affine-invariant Depth Priorcited by 6
- 2025DenseFormer: Learning Dense Depth Map from Sparse Depth and Image via Conditional Diffusion Modelcited by 1
- 2026Marigold V2: Revisiting Diffusion Transformers for Monocular Depth Estimationcited by 1
- 2026Need for Speed: Zero-Shot Depth Completion with Single-Step Diffusioncited by 0
- 2026Marigold V2: Revisiting Diffusion Transformers for Monocular Depth Estimation8 Sep 2026
- 2026Need for Speed: Zero-Shot Depth Completion with Single-Step Diffusion11 Mar 2026
- 2025Diff2I2P: Differentiable Image-to-Point Cloud Registration with Diffusion Prior9 Jul 2025
- 2025DenseFormer: Learning Dense Depth Map from Sparse Depth and Image via Conditional Diffusion Model31 Mar 2025
- 2025Jasmine: Harnessing Diffusion Prior for Self-supervised Depth Estimation20 Mar 2025
- 2025Zero-shot Depth Completion via Test-time Alignment with Affine-invariant Depth Prior10 Feb 2025
- 2024Marigold-DC: Zero-Shot Monocular Depth Completion with Guided Diffusion18 Dec 2024
- 2023Exploiting Diffusion Prior for Generalizable Dense Prediction30 Nov 2023
- 2023MonoDiffusion: Self-Supervised Monocular Depth Estimation Using Diffusion Model13 Nov 2023
- 2023FreeReg: Image-to-Point Cloud Registration Leveraging Pretrained Diffusion Models and Monocular Depth Estimators5 Oct 2023
- 2022Monitored Distillation for Positive Congruent Depth Completioncited by 24
- 2021SUB-Depth: Self-distillation and Uncertainty Boosting Self-supervised Monocular Depth Estimationcited by 7
- 2025Fin3R: Fine-tuning Feed-forward 3D Reconstruction Models via Monocular Knowledge Distillationcited by 6
- 2022Dense Depth Distillation with Out-of-Distribution Simulated Imagescited by 4
- 2023ADU-Depth: Attention-based Distillation with Uncertainty Modeling for Depth Estimationcited by 2
- 2025Fin3R: Fine-tuning Feed-forward 3D Reconstruction Models via Monocular Knowledge Distillation27 Nov 2025
- 2023ADU-Depth: Attention-based Distillation with Uncertainty Modeling for Depth Estimation26 Sep 2023
- 2022Dense Depth Distillation with Out-of-Distribution Simulated Images26 Aug 2022
- 2022Monitored Distillation for Positive Congruent Depth Completion30 Mar 2022
- 2021SUB-Depth: Self-distillation and Uncertainty Boosting Self-supervised Monocular Depth Estimation18 Nov 2021
- 2021DSEC: A Stereo Event Camera Dataset for Driving Scenarioscited by 303
- 2024MoGe: Unlocking Accurate Monocular Geometry Estimation for Open-Domain Images with Optimal Training Supervisioncited by 299
- 2025MoGe-2: Accurate Monocular Geometry with Metric Scale and Sharp Detailscited by 261
- 2021The Temporal Opportunist: Self-Supervised Multi-Frame Monocular Depthcited by 190
- 2022BinsFormer: Revisiting Adaptive Bins for Monocular Depth Estimationcited by 168
- 2021Multimodal Virtual Point 3D Detectioncited by 166
- 2022Panoptic NeRF: 3D-to-2D Label Transfer for Panoptic Urban Scene Segmentationcited by 152
- 2021PENet: Towards Precise and Efficient Image Guided Depth Completioncited by 146
- 2022MonoViT: Self-Supervised Monocular Depth Estimation with a Vision Transformercited by 136
- 2024CoR-GS: Sparse-View 3D Gaussian Splatting via Co-Regularizationcited by 121
- 2022DepthFormer: Exploiting Long-Range Correlation and Local Information for Accurate Monocular Depth Estimationcited by 118
- 2023Towards Zero-Shot Scale-Aware Monocular Depth Estimationcited by 101
12 most cited of 304 All 304 (JSON)
- 2026The Midas Touch for Metric Depth: Interpretable Metricization for Generalizable Depth Perception12 Oct 2026
- 2026ARROW: Arbitrary Reconstruction and Tracking of 4D Observations in the Wild1 Oct 2026
- 2026Depth-to-Image Synthesis-Driven Generative Unguided Depth Completion5 Sep 2026
- 2026MuyBridge: Mobile Human Center-of-Mass Estimation from Monocular Video via Sparse Fusion2 Sep 2026
- 2026A Calibration Audit of Confidence in Feed-Forward 3D Reconstruction Models30 Aug 2026
- 2026Dense Metric Depth Completion from Sparse Direct Time-of-Flight Sensors5 Aug 2026
- 2026JEPADepth: Masked Predictive Representation Learning for Self-Supervised Monocular Depth Estimation29 Jul 2026
- 2026MoGe-3: Fine-Detail Monocular Geometry Estimation with Self-Guided Sparse Volumetric Refinement20 Jul 2026
- 2026DeGuNet: Depth-Guided Ultra-Compact Backbones for Efficient LiDAR-Camera 3D Detection14 Jul 2026
- 2026FoundationGeo: Learning Spatial Pixel-Wise Fields for Monocular Metric Geometry13 Jul 2026
- 2026Towards Robust Driving Perception: A Flexible Scale-Driven Family for Self-Supervised Monocular Depth Estimation1 Jul 2026
- 2026DepthMaster: Unified Monocular Depth Estimation for Perspective and Panoramic Images10 Jun 2026
12 newest of 304 All 304 (JSON)