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iKalibr-RGBD: Partially-Specialized Target-Free Visual-Inertial Spatiotemporal Calibration For RGBDs via Continuous-Time Velocity Estimation

Published 11 Sep 2024 in cs.RO | (2409.07116v2)

Abstract: Visual-inertial systems have been widely studied and applied in the last two decades (from the early 2000s to the present), mainly due to their low cost and power consumption, small footprint, and high availability. Such a trend simultaneously leads to a large amount of visual-inertial calibration methods being presented, as accurate spatiotemporal parameters between sensors are a prerequisite for visual-inertial fusion. In our previous work, i.e., iKalibr, a continuous-time-based visual-inertial calibration method was proposed as a part of one-shot multi-sensor resilient spatiotemporal calibration. While requiring no artificial target brings considerable convenience, computationally expensive pose estimation is demanded in initialization and batch optimization, limiting its availability. Fortunately, this could be vastly improved for the RGBDs with additional depth information, by employing mapping-free ego-velocity estimation instead of mapping-based pose estimation. In this paper, we present the continuous-time ego-velocity estimation-based RGBD-inertial spatiotemporal calibration, termed as iKalibr-RGBD, which is also targetless but computationally efficient. The general pipeline of iKalibr-RGBD is inherited from iKalibr, composed of a rigorous initialization procedure and several continuous-time batch optimizations. The implementation of iKalibr-RGBD is open-sourced at (https://github.com/Unsigned-Long/iKalibr) to benefit the research community.

Summary

  • The paper introduces a target-free calibration technique using continuous-time velocity estimation to optimize visual-inertial sensor alignment.
  • It employs raw gyroscope data and sparse optical flow for efficient ego-velocity estimation, reducing the need for complex mapping.
  • Empirical tests demonstrate improved calibration repeatability and accuracy at significantly lower computational costs, ideal for resource-constrained applications.

Overview of iKalibr-RGBD: A Target-Free Visual-Inertial Calibration Approach

In the examined study, the authors introduce an innovative calibration method termed iKalibr-RGBD for visual-inertial systems, specifically focusing on RGBD cameras. This method aims to optimize the spatiotemporal calibration process by leveraging continuous-time formulations and target-free paradigms, addressing the computational challenges inherent in traditional calibration approaches. Building upon their previous work, the authors propose a streamlined calibration technique that incorporates depth information, yielding notable improvements in computational efficiency while retaining accuracy.

Key Features and Methodology

The proposed iKalibr-RGBD method for visual-inertial calibration is characterized by several key improvements. It employs a continuous-time approach and is designed to operate without artificial calibration targets, simplifying the calibration pipeline and reducing operational overhead. The calibration process is initiated with the recovery of a rotation B-spline using raw gyroscope data, followed by a sparse optical flow analysis to deduce ego-velocity and initialize critical parameters such as time offset, extrinsic rotation, and translation.

The innovative feature of map-free ego-velocity estimation emerges as a pivotal component, enabling the efficient initialization and refinement of spatial parameters. This approach circumvents the reliance on computationally intensive mapping-based pose estimation, which traditionally necessitates sophisticated structure-from-motion (SfM) techniques. By integrating kinematic data derived from RGBD sensors and inertial measurements, iKalibr-RGBD maintains a seamless calibration process that optimally aligns measurements from disparate sensors.

Empirical Validation

Through a series of real-world experiments utilizing the VECtor Benchmark, iKalibr-RGBD's effectiveness was evaluated by assessing its calibration repeatability and accuracy. The results indicate that the proposed method achieves calibration performance comparable to the predecessors but at significantly lower computational costs. The precision and consistency of the calibration were substantiated through empirical data, which included meticulous assessments of residuals concerning visual observations.

Moreover, the method's reduced computational footprint highlights its suitability for time-sensitive and resource-constrained applications, expanding the scope of visual-inertial systems to broader contexts without compromising reliability.

Implications and Future Directions

From a practical standpoint, the efficiency gains realized through iKalibr-RGBD suggest promising advancements for the deployment of visual-inertial systems in computationally frugal environments. The seamless integration of depth information from RGBD cameras into the calibration process exemplifies a forward-looking approach to sensor fusion, potentially shaping future developments in simultaneous localization and mapping (SLAM) and autonomous navigation.

The reduced dependency on mapping algorithms heralds a shift towards more agile calibration frameworks that can be effortlessly incorporated into fast-paced robotic applications. However, ongoing enhancements in accuracy and repeatability will be critical to match the rigorous demands of precision-guided systems.

In summary, the research article presents a substantive contribution to the domain of visual-inertial systems by introducing a method that balances performance with efficiency, thereby setting a precedent for future calibration technologies. The systematic process elucidated in iKalibr-RGBD exemplifies a meticulous yet innovative approach, highlighting the continuous evolution of sensor calibration methodologies in robotics.

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