Modeling and Estimating LIDAR Intensity for Automotive Surfaces Using Gaussian Process Regression: An Experimental and Case Study Approach
Source abstract
Abstract
LIDAR technology is widely used in autonomous driving and environmental sensing, but its accuracy is significantly affected by variations in vehicle surface reflectivity. This study models and predicts the impact of different LIDAR sensor specifications and vehicle surface paints on laser intensity measurements. Laser intensity data from the experiments of Shung et al. were analyzed alongside vehicle color, angle, and distance. Multiple machine learning models were tested, with Gaussian Process Regression (GPR) performing best (RMSE = 0.87451, R2 = 0.99924). To enhance the model’s physical interpretability, laser intensity values were correlated with LIDAR optical power equations, and curve fitting was applied to refine the relationship. The model was validated using the input parameters from Shung et al.’s experiments, comparing predicted intensity values with reference measurements. The results show that the model achieves an overall accuracy of 99% and is successful in laser intensity prediction. To assess real-world performance, the model was tested on the CUPAC dataset, which includes various traffic and weather conditions. Spatial filtering was applied to isolate laser intensities reflected only from the vehicle surface. The highest accuracy, 98.891%, was achieved for the SW-Gloss (White) surface, while the lowest accuracy, 98.195%, was recorded for the SB-Matte (Black) surface. The results confirm that the model effectively predicts laser intensity across different surface reflectivity conditions and remains robust across different channels LIDAR systems.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Advanced Optical Sensing Technologies · Remote Sensing and LiDAR Applications · Autonomous Vehicle Technology and Safety
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Research and Development, Daiichi Elektronik A.S., 16285 Bursa, Turkey
Electrical-Electronic Engineering Department, Bursa Uludag University, 16059 Bursa, Turkey
Department of Research and Development, EMKO Elektronik A.S., 16215 Bursa, Turkey
References (30)
Show source-provided references
1. Automotive LIDAR Technology: A Survey10.1109/TITS.2021.3086804 ↗
2. Advances in Fusion of Optical Imagery and LIDAR Point Cloud Applied to Photogrammetry and Remote Sensing10.1080/19479832.2016.1160960 ↗
3. Roadside LiDAR Vehicle Detection and Tracking Using Range and Intensity Background Subtraction
4. Sabiha, S., Guo, K., Hajiaghajani, F., Qiao, C., Hu, H., and Zhao, Z. (2022, January 24). Understanding the Effects of Paint Colors on LiDAR Point Cloud Intensities. Proceedings of the Workshop on Automotive and Autonomous Vehicle Security (AutoSec), San Diego, CA, USA.10.14722/autosec.2022.23039 ↗
5. Pomerleau, F., Breitenmoser, A., Liu, M., Colas, F., and Siegwart, R. (2012, January 11–13). Noise Characterization of Depth Sensors for Surface Inspections. Proceedings of the 2012 2nd International Conference on Applied Robotics for the Power Industry (CARPI), Zurich, Switzerland.10.1109/CARPI.2012.6473358 ↗
6. Shung, J.L.W., Hibbard, P., Vijay, R., Kin, L.A.H., and de Boer, N. (2023). White Paper on LiDAR Performance Against Selected Automotive Paints. arXiv.
7. Choe, J., Cho, H., and Chung, Y. (2023). Performance Verification of Autonomous Driving LiDAR Sensors under Rainfall Conditions in Darkroom. Sensors, 24.10.3390/s24010014 ↗
8. Wu, Q., Zhong, R., Dong, P., Mo, Y., and Jin, Y. (2021). Airborne LiDAR Intensity Correction Based on a New Method for Incidence Angle Correction for Improving Land-Cover Classification. Remote Sens., 13.10.3390/rs13030511 ↗
9. Muckenhuber, S., Holzer, H., and Bockaj, Z. (2020). Automotive LiDAR Modelling Approach Based on Material Properties and LiDAR Capabilities. Sensors, 20.10.3390/s20113309 ↗
10. Effect of Target Color and Scanning Geometry on Terrestrial LiDAR Point-Cloud Noise and Plane Fitting10.1515/jag-2017-0034 ↗
11. Sequeira, G.J., Harlapur, B., Ortegon, D.O., Lugner, R., Brandmeier, T., and Soloiu, V. (2021, January 13–15). Investigation of Influence from Variation in Color on LiDAR Sensor for Perception of Environment in Autonomous Vehicles. Proceedings of the 2021 International Symposium ELMAR, Zadar, Croatia.10.1109/ELMAR52657.2021.9550943 ↗
12. Design of Near-Infrared Reflective Effective Pigment for LiDAR Detectable Paint10.1557/adv.2020.24 ↗
13. Blažek, J., Zitová, B., Tichý, T., and Vašútová, V. (2014, January 20–21). Optical Properties of Historical Paint Pigments under Near Infrared (NIR) Radi-ation. Proceedings of the 5th ALMA Interdisciplinary Conference; Baroque Refectory of the Dominican Monastery of St. Giles, Prague, Czech Republic.
14. Designing Novel LiDAR-Detectable Plate-Type Materials: Synthesis, Chemistry, and Practical Application for Autonomous Working Environment10.1021/acsami.4c00470 ↗
15. Designing LiDAR-Detectable Dark-Tone Materials with High Near-Infrared Reflectivity for Autonomous Driving: A Comprehensive Review10.1002/adfm.202414876 ↗
16. CUPAC—The Coventry University Public Road Dataset for Automated Cars10.1016/j.dib.2019.104950 ↗
17. Comparison of 905 nm and 1550 nm Semiconductor Laser Rangefinders’ Performance Deterioration Due to Adverse Environmental Conditions10.2478/s11772-014-0190-2 ↗
18. Analysis, Quantification, and Discussion of the Approximations Introduced by Pulsed 3-D LiDARs10.1109/TIM.2021.3124038 ↗
19. Kim, J., Park, B.-J., Roh, C.-G., and Kim, Y. (2021). Performance of Mobile LiDAR in Real Road Driving Conditions. Sensors, 21.10.3390/s21227461 ↗
20. Velodyne Lidar, Inc (2023). Alpha Prime User Manual, Velodyne Lidar, Inc.
21. Monotone Piecewise Cubic Interpolation10.1137/0717021 ↗
22. NASA Jet Propulsion Laboratory (2025, January 11). ECOSTRESS Spectral Library, Available online: https://speclib.jpl.nasa.gov.
23. U.S. Geological Survey (USGS) (2025, January 11). High Resolution Spectral Library, Available online: https://crustal.usgs.gov/speclab/QueryAll07a.php?quick_filter=.
24. Solar Spectral Optical Properties of Pigments—Part II: Survey of Common Colorants10.1016/j.solmat.2004.11.013 ↗
25. Scikit-Learn Developers (2025, February 27). Cross-Validation: Evaluating Estimator Performance. Scikit-Learn Documentation., Available online: https://scikit-learn.org/stable/modules/cross_validation.html.
26. DataCamp (2025, February 27). K-Fold Cross-Validation in Machine Learning. DataCamp., Available online: https://www.datacamp.com/tutorial/k-fold-cross-validation.
27. Rasmussen, C.E., and Williams, C. (2006). Gaussian Processes for Machine Learning, MIT Press.10.7551/mitpress/3206.001.0001 ↗
28. Jin, X., Yang, H., Liao, X., Yan, Z., Wang, Q., Li, Z., and Wang, Z. (2022). A Robust Gaussian Process-Based LiDAR Ground Segmentation Algorithm for Autonomous Driving. Machines, 10.10.3390/machines10070507 ↗
29. Krusel, P.W., McGlauchlin, L.D., and McQuistan, R.B. (1962). Elements of Infrared Technology: Generation, Transmission, and Detection, Wiley.
30. Velodyne Lidar, Inc (2019). VLP-16 User Manual, Velodyne Lidar, Inc.