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Observability-Aware Intrinsic and Extrinsic Calibration of LiDAR-IMU Systems (2205.03276v1)

Published 6 May 2022 in cs.RO

Abstract: Accurate and reliable sensor calibration is essential to fuse LiDAR and inertial measurements, which are usually available in robotic applications. In this paper, we propose a novel LiDAR-IMU calibration method within the continuous-time batch-optimization framework, where the intrinsics of both sensors and the spatial-temporal extrinsics between sensors are calibrated without using calibration infrastructure such as fiducial tags. Compared to discrete-time approaches, the continuous-time formulation has natural advantages for fusing high rate measurements from LiDAR and IMU sensors. To improve efficiency and address degenerate motions, two observability-aware modules are leveraged: (i) The information-theoretic data selection policy selects only the most informative segments for calibration during data collection, which significantly improves the calibration efficiency by processing only the selected informative segments. (ii) The observability-aware state update mechanism in nonlinear least-squares optimization updates only the identifiable directions in the state space with truncated singular value decomposition (TSVD), which enables accurate calibration results even under degenerate cases where informative data segments are not available. The proposed LiDAR-IMU calibration approach has been validated extensively in both simulated and real-world experiments with different robot platforms, demonstrating its high accuracy and repeatability in commonly-seen human-made environments. We also open source our codebase to benefit the research community: {\url{https://github.com/APRIL-ZJU/OA-LICalib}}.

Citations (43)

Summary

  • The paper presents a continuous-time batch-optimization method that simultaneously estimates intrinsic and extrinsic sensor parameters using observability-aware strategies.
  • It employs data selection based on Fisher information matrix SVD and TSVD-based state updates to mitigate errors from uninformative or degenerate data.
  • Experimental results show enhanced calibration accuracy and robustness against sensor misalignment and environmental noise compared to existing methods.

Observability-Aware Intrinsic and Extrinsic Calibration of LiDAR-IMU Systems: A Comprehensive Review

The paper "Observability-Aware Intrinsic and Extrinsic Calibration of LiDAR-IMU Systems" addresses a critical issue in the field of robotics and sensor fusion, specifically the calibration of LiDAR-Inertial Measurement Unit (IMU) systems. Accurate calibration of the intrinsic and extrinsic parameters of these systems is crucial for reliable data fusion and navigation in robotics applications. This paper introduces a novel calibration method that operates within a continuous-time batch-optimization framework, significantly advancing the state of the art in sensor calibration by addressing challenges related to observability and degeneracy.

Calibration Framework

The proposed method diverges from traditional calibration approaches by utilizing a continuous-time representation, which offers seamless integration of high-rate LiDAR and IMU measurements. Unlike discrete-time methods prone to approximation errors and computational inefficiencies, the continuous-time framework allows for a more coherent combination of asynchronous sensor data. The key innovation lies in the formulation of the calibration problem as a nonlinear least-squares optimization, enabling the simultaneous estimation of both intrinsic parameters (sensor-specific characteristics like scale imperfections or misalignment) and extrinsic parameters (spatial and temporal transformations between sensors).

Observability-Aware Strategies

Two major observability-aware strategies are pivotal to this calibration method:

  1. Data Selection Based on Information-Theoretic Metrics: The calibration process begins with the automatic selection of the most informative trajectory segments. This selection is grounded in the evaluation of the Fisher information matrix from singular value decomposition (SVD), ensuring that only data with the richest information content contribute to the calibration process. This approach significantly enhances the efficiency and robustness of the calibration task by reducing reliance on redundant or non-informative data.
  2. State Update Mechanism Using Truncated Singular Value Decomposition (TSVD): During the optimization process, only the state variables related to observable directions are updated. This is achieved through TSVD on the Fisher information matrix, which effectively mitigates the influence of unobservable directions and prevents the introduction of erroneous information into the calibration results. This is particularly beneficial in scenarios where the sensor setup or motion profile results in degenerate cases, such as planar motion.

Experimental Validation and Results

Extensive validation, both in simulations and real-world experiments, demonstrates the high accuracy and repeatability of the proposed method in diverse environments and motion conditions. The experiments conducted revealed notable resilience against common challenges such as sensor misalignment, environmental noise, and motion impossibilities. When compared to other existing methods such as ILC, LIOM, and FAST-LIO2, the proposed approach consistently delivers superior calibration accuracy and robustness. This paper asserts that the inclusion of intrinsic calibration substantially affects the accuracy of both LiDAR mapping and extrinsic parameter estimation.

Implications and Future Work

This work has significant implications for the field of robotics, particularly in enhancing the reliability of LiDAR-IMU fused navigation systems. The observability-aware approach presents a step forward in creating more autonomous and reliable calibration tools which can adapt dynamically to various conditions. However, the reliance on structured environments emphasizes a limitation in unstructured or cluttered settings, indicating a potential area for future research.

Future developments may include integrating advanced point cloud registration methods or machine learning techniques to enhance performance in sparse and feature-lacking environments. Additionally, the integration of active calibration methods, which guide users to collect optimal data, could further revolutionize the calibration process.

In conclusion, the authors present not only a methodological advancement in sensor calibration but also pave the way for more adaptable and reliable sensor fusion systems in robotics, contributing to the overarching goal of advancing autonomous technologies.

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