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arXiv 2606.09292cs.ROcs.SYeess.SY

基于对偶四元数的无迹卡尔曼滤波与视觉惯性里程计在GPS拒止环境中的导航

Dual Quaternion-Based Unscented Kalman Filter with Visual Inertial Odometry for Navigation in GPS-Denied Environments

Carleton University(卡尔顿大学)

Mohamed Khalifa, Hashim A. Hashim

AI总结:

提出一种基于对偶四元数的无迹卡尔曼滤波(DQUKF)结合视觉惯性里程计(VIO),在GPS拒止环境下实现高精度状态估计,在EuRoC数据集上位置RMSE达0.2584米。

摘要:

在GPS拒止环境中的可靠导航仍然是机器人、航空航天和自动驾驶车辆应用中的基本挑战。本文提出了一种基于对偶四元数的无迹卡尔曼滤波(DQUKF),配备视觉惯性里程计(VIO)算法,用于在GPS拒止位置实现精确状态估计以实现导航。所提出的框架以误差状态形式构建DQUKF,其中名义位姿由单位对偶四元数表示,局部位姿误差由6维扭量参数化表示,用于sigma点生成、协方差传播和测量校正。同时,VIO算法跨图像帧跟踪特征,同步IMU和相机之间的测量,并提供补充惯性传播的视觉约束。在EuRoC MAV数据集上的仿真结果表明,所提出的DQUKF在高初始化不确定性下收敛,并在困难飞行序列中实现了0.2584米的位置RMSE,优于基准滤波器。

英文摘要:

Reliable navigation in GPS-denied environments remains a fundamental challenge in robotics, aerospace, and autonomous vehicle applications. This paper presents a Dual Quaternion-Based Unscented Kalman Filter (DQUKF) equipped with a Visual Inertial Odometry (VIO) algorithm for accurate state estimation enabling navigation in GPS denied locations. The proposed framework formulates the DQUKF in an error state manner, where the nominal pose is represented by a unit dual quaternion and the local pose error is represented by a 6-dimensional twistor parameterization used for sigma point generation, covariance propagation, and measurement correction. In parallel, the VIO algorithm tracks features across image frames, synchronizes measurements between the IMU and camera, and provides visual constraints that complement inertial propagation. Simulation results on the EuRoC MAV dataset show that the proposed DQUKF converges under high initialization uncertainty and achieves a position RMSE of 0.2584~m in the difficult flight sequence, outperforming the benchmark filters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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