Vision-Map Fusion Multi-Object Tracking at Complex Intersections Using HD Map Priors and Nonlinear Filtering
Highlights
- A map-aided dual-box perception frontend assigns straight-driving and turning re-gions to HBB and OBB branches, respectively, and converts both outputs into a com-mon observation format.
- A central-difference state estimator is combined with HD-map lane feasibility con-straints to reduce physically implausible trajectory drift.
- On the evaluated public sequences, the complete configuration achieved a favorable MOTA/IDF1/IDS balance while retaining real-time throughput on a desktop GPU workstation.
- A single-intersection Vehicle-in-the-Loop case study using RTK reference data yield-ed an overall MAE of 0.180 m; this result is descriptive rather than a multi-site accu-racy guarantee.
Abstract
1. Introduction
- A unified vision-map tracking formulation is introduced in which image-plane and metric-plane variables are maintained in one state, and HD-map lane polygons provide an explicit feasibility correction for off-road predictions.
- A map-aided dual-box frontend combines an HBB branch enhanced with a cross-stage partial bottleneck with two convolutions and squeeze-and-excitation (C2fSE), dense atrous spatial pyramid pooling (DenseASPP), and Wise-IoU version 3 (WIoU v3) training loss with an OBB branch enhanced with spatial pyramid pooling-fast (SPPF), large separable kernel attention (LSKA), and DySample. Both branches first generate candidate detections. An HD-map selector subsequently retains the appropriate HBB or OBB representation and constructs a common detection record without reinitializing the tracker identity.
- Public-dataset detection and tracking results are complemented by a single-site RTK-referenced case study. The study reports the observed metric error and explicitly distinguishes this descriptive validation from multi-site or embedded-deployment verification.
2. Related Work
2.1. Limitations of HBB-Based Detection Algorithms
2.2. Vision-Based Multi-Object Tracking and Localization
3. Proposed Methodology
3.1. Problem Formulation and System Overview
3.2. Spatial-Decoupled Dual-Box Perception Frontend
- C2fSE channel recalibration: A squeeze-and-excitation (SE) [26] is embedded in the C2f path. The C2f output follows two paths: one produces channel weights and the other supplies the unweighted transformed feature to element-wise multiplication. The reweighted feature is then added to the unchanged shortcut feature. Figure 2 shows both inputs to the multiplication and residual-addition nodes explicitly.
- DenseASPP context aggregation: Densely connected atrous convolutions with dilation rates 1, 3, and 5 aggregate multiple receptive fields without an additional reduction in feature-map resolution [14]. This module targets the scale variation between small distant vehicles and large near-field vehicles.
- WIoU v3 regression loss: The non-monotonic focusing mechanism adjusts the contribution of anchors according to their outlier degree [27]. Its purpose is to reduce the dominance of very low-quality samples during box regression; it does not guarantee that every intermediate ablation will improve every metric.
- SPPF-LSKA attention: LSKA [28] is embedded after spatial-pyramid pooling to capture long-range spatial dependencies using separable large-kernel operations. This is intended to retain elongated vehicle structure during turns without applying a dense large 2D kernel.
- DySample upsampling: The LSKA feature is supplied to a lightweight offset predictor to estimate the sampling offset . The regular grid G does not enter the offset predictor; instead, and are combined only at the addition node to form . The LSKA feature is then sampled at , and the resulting feature is decoded into OBB confidence, category, center, size, and angle [15].
3.3. Map-Constrained CDKF Tracking and Localization Backend
4. Experiments, Results, and Discussion
4.1. Experimental Setup and Implementation Details
4.2. Ablation Studies on Dual-Box Perception
4.3. Baseline Comparisons on Multi-Object Tracking
4.4. Single-Intersection Validation Against an RTK Reference
4.5. Discussion, Computational Scope, and Limitations
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| BEV | Bird’s-Eye-View |
| BDD100K | Berkeley DeepDrive 100K |
| C2f | Cross-Stage Partial Bottleneck with Two Convolutions |
| C2fSE | C2f with Squeeze-and-Excitation |
| CARAFE | Content-Aware ReAssembly of FEatures |
| CBAM | Convolutional Block Attention Module |
| CDKF | Central Difference Kalman Filter |
| DenseASPP | Dense Atrous Spatial Pyramid Pooling |
| ECA | Efficient Channel Attention |
| FADE | Fusing the Assets of Decoder and Encoder |
| FPS | Frames Per Second |
| GFLOPs | Giga Floating-Point Operations |
| GNSS | Global Navigation Satellite System |
| GS-CMOS | Global-Shutter Complementary Metal–Oxide–Semiconductor |
| HBB | Horizontal Bounding Box |
| HD Map | High-Definition Map |
| IDF1 | Identification F1 Score |
| IDS | Identity Switches |
| KF | Kalman Filter |
| LiDAR | Light Detection and Ranging |
| LSKA | Large Separable Kernel Attention |
| MAE | Mean Absolute Error |
| mAP | Mean Average Precision |
| MOT | Multi-Object Tracking |
| MOTA | Multi-Object Tracking Accuracy |
| MOTP | Multi-Object Tracking Precision |
| MSDA | Multi-Scale Dilated Attention |
| NAM | Normalization-Based Attention Module |
| OBB | Oriented Bounding Box |
| PrED | Predictive Enhancement of Detection |
| QP | Quadratic Programming |
| RANSAC | Random Sample Consensus |
| RBV | Body-to-Vehicle Rotation |
| ROI | Region of Interest |
| ROS 2 | Robot Operating System 2 |
| RTK | Real-Time Kinematic |
| R-CNN | Region-Based Convolutional Neural Network |
| SE | Squeeze-and-Excitation |
| SIFT | Scale-Invariant Feature Transform |
| SimSPPF | Simplified Spatial Pyramid Pooling-Fast |
| SPP | Spatial Pyramid Pooling |
| SPPF | Spatial Pyramid Pooling-Fast |
| UA-DETRAC | University at Albany Detection and Tracking Benchmark |
| UTM | Universal Transverse Mercator |
| WIoU | Wise-Intersection over Union |
| YOLO | You Only Look Once |
Appendix A. Detailed Hardware Configuration and Map Registration Protocols
Appendix A.1. RTK Acquisition, Coordinate Alignment, and Calibration Records
- Time synchronization and temporal sampling:
- The available configuration record contains symbolic lever-arm placeholders rather than measured offsets. Because these placeholders are not physical values, the corresponding translation-command lines are not reported. The actual antenna-to-navigation-center lever arm should be added only after verification against the original installation record.
- RBV calibration procedure:
Appendix A.2. Camera-to-Map Registration Record
Appendix B. Extended Comparative Experiments and Supplementary Qualitative Results
Appendix B.1. Extended Quantitative Comparisons
| Model | Method | Precision (%) | Recall (%) | mAP@0.5 (%) | mAP0.5–0.95 (%) |
|---|---|---|---|---|---|
| Attention Mechanisms (Evaluated on UA-DETRAC) | Baseline (C2f) | - | - | 98.9 | 88.6 |
| CBAM | - | - | 98.8 | 88.3 | |
| ECA | - | - | 99.2 | 88.9 | |
| NAM | - | - | 98.3 | 86.0 | |
| MSDA | - | - | 98.3 | 88.7 | |
| Selected (C2fSE) | 97.5 | 96.7 | 98.7 | 88.8 | |
| Pooling Strategies (Evaluated on UA-DETRAC) | SPP | - | - | 98.3 | 88.5 |
| SPPF | - | - | 98.2 | 88.6 | |
| SimSPPF | - | - | 97.7 | 85.7 | |
| Selected (C2fSE + DenseASPP) | 96.1 | 96.9 | 98.8 | 88.3 | |
| Upsampling Modules (Evaluated on Rope3D) | CARAFE | 85.5 | 66.5 | 76.7 | 41.6 |
| Bilinear | 84.9 | 66.8 | 76.3 | 42.1 | |
| FADE | 84.2 | 65.7 | 75.5 | 42.3 | |
| Selected (SPPF-LSKA + DySample) | 85.6 | 66.8 | 75.6 | 42.7 |
| Branch | Method | Precision (%) | Recall (%) | mAP@0.5 (%) | mAP0.5–0.95 (%) |
|---|---|---|---|---|---|
| HBB Branch | Faster R-CNN | 83.7 | 82.3 | 98.7 | 87.2 |
| YOLOv5n | 97.5 | 98.9 | 99.3 | 88.9 | |
| YOLOv8n (Baseline) | 96.7 | 96.3 | 98.9 | 88.6 | |
| YOLOv11n | 95.4 | 97.2 | 96.4 | 87.9 | |
| YOLOv12n | 94.5 | 95.5 | 95.7 | 87.7 | |
| Proposed Method | 96.9 | 98.0 | 99.1 | 89.1 | |
| OBB Branch | Faster R-CNN | 81.1 | 61.5 | 75.0 | 39.7 |
| Oriented R-CNN | 82.3 | 59.5 | 74.8 | 39.6 | |
| YOLOv8n-OBB (Baseline) | 82.9 | 66.8 | 74.9 | 41.7 | |
| YOLOv9t-OBB | 84.5 | 65.7 | 75.5 | 41.9 | |
| YOLOv10n-OBB | 86.1 | 64.8 | 75.3 | 41.8 | |
| YOLOv11n-OBB | 85.3 | 66.5 | 75.5 | 41.2 | |
| YOLOv12n-OBB | 83.5 | 65.7 | 75.1 | 40.5 | |
| Proposed Method | 85.6 | 66.8 | 75.6 | 42.7 |
Appendix B.2. Supplementary Qualitative Detection Results

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| Model | C2fSE | DENSEASPP | WIoU v3 | Precision (%) | Recall (%) | mAP@0.5 (%) | mAP0.5–0.95 (%) |
|---|---|---|---|---|---|---|---|
| Baseline | 96.7 | 96.3 | 98.9 | 88.6 | |||
| +C2fSE | ✓ | 97.5 | 96.7 | 98.7 | 88.8 | ||
| +DenseASPP | ✓ | ✓ | 96.1 | 96.9 | 98.8 | 88.3 | |
| Proposed | ✓ | ✓ | ✓ | 96.9 | 98.0 | 99.1 | 89.1 |
| Model | LSKA | DySample | Precision (%) | Recall (%) | mAP@0.5 (%) | mAP0.5–0.95 (%) |
|---|---|---|---|---|---|---|
| Baseline | 82.9 | 66.8 | 74.9 | 41.7 | ||
| +LSKA | ✓ | 84.0 | 66.1 | 74.7 | 40.7 | |
| Proposed | ✓ | ✓ | 85.6 | 66.8 | 75.6 | 42.7 |
| Tracker | Tracking Backend | MOTA(↑) | MOTP(↑) | IDF1(↑) | IDS(↓) | FPS |
|---|---|---|---|---|---|---|
| SORT | Linear KF | 61.4% | 72.1% | 71.1% | 1421 | 39.6 |
| DeepSORT | Linear KF | 70.8% | 78.3% | 78.4% | 784 | 25.2 |
| StrongSORT | Linear KF | 70.4% | 78.2% | 81.2% | 674 | 13.4 |
| Proposed | CDKF + Map Prior | 74.5% | 80.2% | 82.6% | 614 | 26.8 |
| Method | Box Representation | Spatial Constraint | Overall MAE (m) |
|---|---|---|---|
| Baseline end-to-end configuration | HBB | Unconstrained 2D | 0.208 |
| Proposed end-to-end configuration | OBB | HD-map feasible-set projection | 0.180 |
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Ma, D.; Tang, L. Vision-Map Fusion Multi-Object Tracking at Complex Intersections Using HD Map Priors and Nonlinear Filtering. Automation 2026, 7, 130. https://doi.org/10.3390/automation7040130
Ma D, Tang L. Vision-Map Fusion Multi-Object Tracking at Complex Intersections Using HD Map Priors and Nonlinear Filtering. Automation. 2026; 7(4):130. https://doi.org/10.3390/automation7040130
Chicago/Turabian StyleMa, Dezheng, and Lan Tang. 2026. "Vision-Map Fusion Multi-Object Tracking at Complex Intersections Using HD Map Priors and Nonlinear Filtering" Automation 7, no. 4: 130. https://doi.org/10.3390/automation7040130
APA StyleMa, D., & Tang, L. (2026). Vision-Map Fusion Multi-Object Tracking at Complex Intersections Using HD Map Priors and Nonlinear Filtering. Automation, 7(4), 130. https://doi.org/10.3390/automation7040130

