用可打印平面靶标实现激光雷达与相机的高精度外参标定
LV-Calib: LiDAR-Camera Extrinsic Calibration with Boundary-Response Modeling

- 通过视觉标识和激光反射边界联合建模,自动提取有效特征点
- 实现亚像素级重投影误差和毫米级激光特征一致性
- 适合自动驾驶、机器人等需要高精度传感器融合的场景
本文提出LV-Calib框架,利用可打印平面靶标实现激光雷达-相机外参估计与激光雷达边界响应校准。靶标同时承载视觉标识与反射边界:前者提供图像中的索引观测,后者生成激光雷达可检测的结构特征点。针对实际中因光束尺寸有限和混合强度返回导致的边界模糊与畸变问题,该方法自动剔除背景点,估计靶标平面,并基于强度与几何约束迭代优化激光侧三维特征点。在此基础上,构建加权重投影一致性的外参优化模型,图像观测保留在重投影域,激光特征残差按优化置信度加权。最后,结合估计的外参与提取的过渡带,统计边界重叠样本的俯仰-偏航-距离残差,完成激光雷达边界响应校准。在打印板标定数据上的实验表明,该方法达到亚像素级重投影精度、毫米级激光特征一致性,并显著提升里程计性能。代码与数据将公开,支持可复现评估。
原文摘要 · Abstract (English)
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.
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