Organizations: College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen, Guangdong, 518060, China. · Robot Perception and Learning Lab, Intelligent Robotics, Department of Computer Science, University College London, Gower Street, WC1E 6BT, London, UK. · Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong. · College of Civil and Transportation Engineering, Shenzhen University, Shenzhen, Guangdong, 518060, China.
Online LiDAR-camera calibration remains a fundamental yet challenging task in the field of robotics. Recently, deep learning-based data-driven approaches have emerged, offering high-precision, targetless calibration capabilities. However, existing methods often suffer from a critical dataset shortcut phenomenon due to the lack of extrinsic diversity in their training data. Networks tend to overfit to fixed nominal extrinsic configurations, leading to severe performance degradation and poor generalization in real-world deployments. To address this limitation, we propose a highly generalizable data generation framework tailored for training LiDAR-camera calibration networks. Our framework leverages existing omnidirectional image datasets annotated with depth ground truth to synthesize multi-modal calibration data under rigorous extrinsic constraints. Extensive experiments demonstrate that the data generated by our pipeline significantly enhances the generalization and robustness of typical learning-based calibration networks. Furthermore, we conduct comprehensive real-world evaluations across various camera-LiDAR configurations, validating the zero-shot transfer capability of models trained exclusively on our synthetic data. To facilitate future research and community use, the code for data generation, the pre-trained models, and online benchmark datasets will be made publicly available.
Figures & tables
Fig. 1: Comparison between traditional and our data paradigm. Traditional methods use public datasets, which provide training data with a fixed LiDAR-camera extrinsic, while ours generates pairs with various configurations. The data visualization shows that our training data has richer patterns (projections after calibration), while the traditional one introduces harmful inductive bias.
Fig. 2: Our training paradigm and data generation pipeline.
Fig. 3: The proposed Omni2Perspective and Omni2LiDAR data synthesis pipelines.
Fig. 4: The proposed 3 -step extrinsic-constrained data generation pipeline.
Fig. 5: Our real-world rig configurations and experiment scenarios. The ground truth extrinsics are derived by using the target-based calibration method of [ 14 ] .
Fig. 6: Qualitative analysis of LiDAR-to-camera projections using CMRNext’s outputs. Online calibration typically achieves high accuracy when the scene is rich in multi-directional edge features (Cases 1 & 3). However, an uneven spatial distribution of these features can induce slight rotation-translation coupling, leading to increased calibration errors, even if the edges are visually aligned (Case 2). When employing sparse, repetitive scanning LiDAR sensors, the lack of cross-modal overlap exacerbates information loss within the point cloud, ultimately resulting in substantial independent translation errors (Case 4).
LiDAR
Model
Train
Test
Rot. Err. ( ∘ )
Trans. Err. (cm)
EPE. Err. (pixel)
Mid-360
CMRNext
Trad.
Trad.
0.35 / 0.17
1.49 / 0.83
4.99 / 2.18
Trad.
Ours
4.25 / 3.17
18.77 / 16.75
61.91 / 46.38
Ours
Ours
0.72 / 0.26
3.10 / 1.49
15.66 / 6.51
Ours
Trad.
1.31 / 0.46
6.44 / 3.09
22.46 / 7.03
CalibNet
Trad.
Trad.
4.97 / 4.4
16.49 / 15.34
57.15 / 48.40
Trad.
Ours
10.04 / 9.84
22.75 / 21.94
107.34 / 98.95
TABLE I: Cross-evaluation on different data generation paradigms with different LiDAR patterns. Values indicate the Mean/Median errors.
LiDAR
Extr.
Train Pdgm.
Rot. Err. ( ∘ )
Trans. Err. (cm)
EPE. Err. (pixel)
Mid-360
T0
Trad.
0.97 / 0.73
19.81 / 16.83
15.08 / 13.32
Ours
0.57 / 0.42
11.90 / 9.86
9.58 / 7.66
T1
Trad.
1.08 / 0.88
23.70 / 21.47
14.41 / 12.95
Ours
0.50 / 0.39
13.23 / 11.97
9.33 / 8.29
T2
Trad.
1.15 / 1.01
20.75 / 17.55
19.64 / 17.61
Ours
0.58 / 0.44
12.16 / 9.98
11.18 / 8.31
TABLE II: Cross-evaluation on real-world captured data using CMRNext. Values indicate the Mean/Median errors.
Stage
Input Perturb.
Rot. Err. ( ∘ )
Trans. Err. (cm)
EPE. Err. (pixel)
1
[ 20 cm, 10∘ ]
1.35 / 0.51
5.03 / 2.71
25.94 / 12.52
2
[ 5 cm, 1.5∘ ]
1.01 / 0.27
3.53 / 1.14
15.34 / 3.70
3
[ 3 cm, 0.8∘ ]
0.96 / 0.24
3.35 / 1.06
14.11 / 3.17
TABLE III: Performance evaluation at different stages with input perturbations. Values indicate the Mean/Median errors. Noted that the input perturbation for translation and rotation is introduced per axis and per angle, respectively.
In this paper, we address extrinsic calibration for camera, lidar, and 4D radar sensors. Accurate extrinsic calibration of radar remains a challenge due to the sparsity of its data. We propose CLRNet, a novel, multi-modal end-to-end deep learning (DL) calibration network capable of addressing joint camera-lidar-radar calibration, or pairwise calibration between any two of these sensors. We incorporate equirectangular projection, camera-based depth image prediction, additional radar channels, and leverage lidar with a shared feature space and loop closure loss. In extensive experiments using the View-of-Delft and Dual-Radar datasets, we demonstrate superior calibration accuracy compared to existing state-of-the-art methods, reducing both median translational and rotational calibration errors by at least 50%. Finally, we examine the domain transfer capabilities of the proposed network and baselines, when evaluating across datasets. The code will be made publicly available upon acceptance at: https://github.com/tudelft-iv.
Marcell Kegl, Andras Palffy, Csaba Benedek +1
Hungarian Research Network Institute for Computer Science and Control (HUN-REN SZTAKI), 1111 Budapest, Kende utca 13-17 · Pázmány Péter Catholic University, Faculty of Information Technology and Bionics, 1083 Budapest, Práter utca 50/A · Perciv AI, Delft, the Netherlands +1
Target-based LiDAR-camera extrinsic calibration is a prerequisite for multi-sensor fusion in robotics. However, in the widely adopted four-hole pipeline, \rt{calibration accuracy is limited by hole-center extraction in the LiDAR side, where sparse angular coverage and mixed-pixel returns displace the estimated centers}. This paper presents P2Calib, which exploits pattern priors, geometric constraints specified by the CAD model of the target board, to improve calibration accuracy. First, we incorporate the known hole radius as a fitting constraint to prevent center estimates from degrading under sparse angular coverage. Building on the improved hole estimates, we further enforce the rigid rectangular layout of the four holes as a global consistency constraint to correct residual errors across holes. Both priors are integrated into an \rt{interactive tool that runs the pipeline from target detection to the final extrinsic}. Experiments on simulated and real datasets show that P2Calib reduces the joint registration residual by 90% and 82% and the held-out reprojection error by 96% and 77% over the baseline. \rt{We will release the code and data\codelink{} to facilitate future research.
Xiangcheng Hu
Department of Electronic and Computer Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong SAR, China
We present LV-Calib, a calibration framework for LiDAR-camera extrinsic estimation and LiDAR boundary-response calibration using a printable planar target. The target serves as a shared observation carrier: visual fiducials provide indexed image measurements, while circular reflectivity boundaries provide LiDAR-observable structural feature points. Instead of directly fitting boundary points as ideal geometric contours, LV-Calib automatically crops background points, estimates the target plane, and iteratively refines accurate LiDAR-side 3-D feature points from intensity and geometric constraints. The refinement explicitly handles the broadened and distorted transition band induced by finite beam footprint and mixed-intensity returns around black-white reflectivity discontinuities. Given these refined LiDAR features, we formulate a weighted reprojection-consistent extrinsic optimization with LiDAR feature alignment, where image observations are kept in the reprojection domain and LiDAR feature residuals are weighted by refinement confidence. Finally, using the estimated extrinsic and the extracted transition band, LV-Calib calibrates the LiDAR boundary response by estimating pitch-yaw-range residual statistics of boundary-overlap samples. Experiments on printed-board calibration data demonstrate sub-pixel reprojection accuracy, millimeter-level LiDAR feature consistency, and improved odometry performance. Code and calibration data will be released for reproducible evaluation.
Sheng Hong
Pen-Tung Sah Institute of Micro-Nano Science and Technology, Xiamen University, Xiamen 361102, China