Adjoint transformation algorithm for hand-eye calibration with applications in robotic assisted surgery

Article


Pachtrachai, K., Vasconcelos, F., Chadebecq, F., Allan, M., Hailes, S., Pawar, V. and Stoyanov, D. 2018. Adjoint transformation algorithm for hand-eye calibration with applications in robotic assisted surgery. Annals of Biomedical Engineering. 46 (10), pp. 1606-1620. https://doi.org/10.1007/s10439-018-2097-4
TypeArticle
TitleAdjoint transformation algorithm for hand-eye calibration with applications in robotic assisted surgery
AuthorsPachtrachai, K., Vasconcelos, F., Chadebecq, F., Allan, M., Hailes, S., Pawar, V. and Stoyanov, D.
Abstract

Hand–eye calibration aims at determining the unknown rigid transformation between the coordinate systems of a robot arm and a camera. Existing hand–eye algorithms using closed-form solutions followed by iterative non-linear refinement provide accurate calibration results within a broad range of robotic applications. However, in the context of surgical robotics hand–eye calibration is still a challenging problem due to the required accuracy within the millimetre range, coupled with a large displacement between endoscopic cameras and the robot end-effector. This paper presents a new method for hand–eye calibration based on the adjoint transformation of twist motions that solves the problem iteratively through alternating estimations of rotation and translation. We show that this approach converges to a solution with a higher accuracy than closed form initializations within a broad range of synthetic and real experiments. We also propose a stereo hand–eye formulation that can be used in the context of both our proposed method and previous state-of-the-art closed form solutions. Experiments with real data are conducted with a stereo laparoscope, the KUKA robot arm manipulator, and the da Vinci surgical robot, showing that both our new alternating solution and the explicit representation of stereo camera hand–eye relations contribute to a higher calibration accuracy.

KeywordsCalibration problem; Hand-eye relationship; Stereoscopic camera; Surgical robot
PublisherSpringer
JournalAnnals of Biomedical Engineering
ISSN0090-6964
Electronic1573-9686
Publication dates
Online26 Jul 2018
Print15 Oct 2018
Publication process dates
Submitted17 Dec 2017
Accepted17 Jul 2018
Deposited28 Feb 2024
Output statusPublished
Publisher's version
License
File Access Level
Open
Copyright Statement

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Digital Object Identifier (DOI)https://doi.org/10.1007/s10439-018-2097-4
Web of Science identifierWOS:000445180100015
LanguageEnglish
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