arXiv:2608.04673cs.CVcs.RO2026-08

新方法直接估算平台微运动,对相机标定误差有理论保障的鲁棒性。

Differential 6-DOF Pose Estimation with Provable First-Order Immunity to Camera Calibration Errors

论文配图:Differential 6-DOF Pose Estimation with Provable First-Order Immunity to Camera Calibration Errors
图 1 · 摘自论文原文
  • 通过差分投影方程避免独立位姿估计,直接从图像位移推导运动
  • 单目系统在0.5像素噪声下实现3.7毫米平移误差,0.34毫秒计算耗时
  • 理论证明平移标定误差完全抵消,适合高精度机器人与结构监测

精确的六自由度(6-DOF)运动估计对机器人操作、自动驾驶和结构位移监测至关重要。传统3D-2D方法在每帧独立估计绝对相机位姿,再通过相机到平台的外参恢复平台运动,对姿态标定误差敏感,尤其在微运动场景中。本文提出一种差分位姿估计方法,直接从帧间图像位移和已知3D控制点恢复平台运动。通过差分透视投影方程,采用深度不变近似,并在SE(3)上建模运动,该方法避免了独立的绝对位姿估计,支持单目与多目系统。理论上证明:平移外参误差可完全抵消,旋转误差仅引入由标定误差、运动幅度和观测几何决定的有界扰动。推导出通用可观测性条件、Cramer-Rao下界及无偏一致估计器,并刻画近似有效范围。大量合成与真实世界实验表明,该方法在6-DOF平台微运动估计上达到新基准,优于代表性PnP与广义PnP方法,在精度、标定鲁棒性与计算效率上均领先。使用五个控制点和0.5像素图像噪声,单目求解器获得10.09弧秒合旋转均方根误差(RMSE)、3.70毫米平移误差,运行时间0.34毫秒;双目系统实现10.58弧秒旋转误差、3.91毫米平移误差,运行时间0.27毫秒。代码将在发表后公开于https://github.com/zyoungszu/pami2026。

原文摘要 · Abstract (English)

Accurate six-degree-of-freedom (6-DOF) motion estimation is essential for robotic manipulation, autonomous systems, and structural displacement monitoring. Conventional 3D-2D methods estimate absolute camera poses independently at each time and recover platform motion through camera-to-platform extrinsics, making them sensitive to extrinsic calibration errors, especially for micromotion. We present a differential pose estimation method that directly recovers platform motion from inter-frame image displacements and known 3D control points. By differencing perspective projection equations, using a depth-invariance approximation, and modeling motion on SE(3), the method avoids independent absolute-pose estimation and supports both monocular and multi-camera systems. We prove that translational extrinsic errors cancel exactly, while rotational errors induce a bounded perturbation determined by calibration error, motion magnitude, and observation geometry. We also derive generic observability conditions, a Cramer-Rao lower bound, and a bias-eliminated consistent estimator, and characterize the validity limits of the approximations. Extensive synthetic and real-world experiments establish a new state of the art for 6-DOF platform micromotion estimation, outperforming representative PnP and generalized-PnP methods in accuracy, calibration robustness, and computational efficiency. With five control points and 0.5-pixel image noise, the monocular solver obtains a combined pitch-yaw rotation RMSE of 10.09 arcsec, a translation RMSE of 3.70 mm, and a runtime of 0.34 ms. The binocular solver achieves a rotation RMSE of 10.58 arcsec, a translation RMSE of 3.91 mm, and a runtime of 0.27 ms. Code will be released upon publication at https://github.com/zyoungszu/pami2026.

位姿估计微运动相机标定鲁棒性

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