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arXiv 2104.03532cs.RO
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用于视觉惯性里程计的等变滤波器

An Equivariant Filter for Visual Inertial Odometry

Systems Theory and Robotics Group(系统理论与机器人研究组);Australian Centre for Robotic Vision(澳大利亚机器人视觉中心);Australian National University(澳大利亚国立大学)

Pieter van Goor, Robert Mahony

摘要:

由于配备有单目相机和惯性测量单元(IMU)两者的设备的普遍存在,视觉惯性里程计(VIO)引起了极大的兴趣。基于扩展卡尔曼滤波器的方法在VIO中仍然很受欢迎,因为与基于优化的方法相比,它们的内存需求、CPU使用率和处理时间都很低。在本文中,我们分析了VIO问题,从几何的角度来看,并提出了一个新的配方上的光滑商流形的等价关系是众所周知的不变性VIO的参考框架的选择。我们提出了一种新的李群,该李群在该流形上传递,并且与视觉测量兼容。这种结构允许应用等变滤波器(EqF)设计,从而产生用于VIO问题的新型滤波器。与一个非常简单的视觉处理前端相结合,所提出的滤波器在EuRoC数据集上展示了与其他基于EKF的VIO算法相比最先进的性能。

英文摘要:

Visual Inertial Odometry (VIO) is of great interest due the ubiquity of devices equipped with both a monocular camera and Inertial Measurement Unit (IMU). Methods based on the extended Kalman Filter remain popular in VIO due to their low memory requirements, CPU usage, and processing time when compared to optimisation-based methods. In this paper, we analyse the VIO problem from a geometric perspective and propose a novel formulation on a smooth quotient manifold where the equivalence relationship is the well-known invariance of VIO to choice of reference frame. We propose a novel Lie group that acts transitively on this manifold and is compatible with the visual measurements. This structure allows for the application of Equivariant Filter (EqF) design leading to a novel filter for the VIO problem. Combined with a very simple vision processing front-end, the proposed filter demonstrates state-of-the-art performance on the EuRoC dataset compared to other EKF-based VIO algorithms.

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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