Closed-form inverse kinematics for intra-operative mobile C-arm positioning with six degrees of freedom

Lejing Wang; Rui Zou; Simon Weidert; Juergen Landes; Ekkehard Euler; Darius Burschka; Nassir Navab

doi:10.1117/12.877835

1 March 2011 Closed-form inverse kinematics for intra-operative mobile C-arm positioning with six degrees of freedom

Lejing Wang, Rui Zou, Simon Weidert, Juergen Landes, Ekkehard Euler, Darius Burschka, Nassir Navab

Proceedings Volume 7964, Medical Imaging 2011: Visualization, Image-Guided Procedures, and Modeling; 79641A (2011) https://doi.org/10.1117/12.877835
Event: SPIE Medical Imaging, 2011, Lake Buena Vista (Orlando), Florida, United States

Abstract

For trauma and orthopedic surgery, maneuvering a mobile C-arm X-ray device into a desired position in order to acquire the right picture is a routine task. The precision and ease of use of the C-arm positioning becomes even more important for more advanced imaging techniques as parallax-free X-ray image stitching, for example. Standard mobile C-arms have only five degrees of freedom (DOF), which definitely restricts their motions that have six DOF in 3D Cartesian space. We have proposed a method to model the kinematics of the mobile Carm and operating table as an integrated 6DOF C-arm X-ray imaging system.1 This enables mobile C-arms to be positioned relative to the patient's table with six DOF in 3D Cartesian space. Moving mobile C-arms to a desired position and orientation requires finding the necessary joint values, which is an inverse kinematics problem. In this paper, we present closed-form solutions, i.e. analytic expressions, obtained in an algebraic way for the inverse kinematics problem of the 6DOF C-arm model. In addition, we implement a 6DOF C-arm system for interactively radiation-free C-arm positioning based on a continuous guidance from C-arm pose estimation. For this we employ a visual marker pattern attached under the operating table and a mobile C-arm system augmented by a video camera and mirror construction. In our experiment, repositioning C-arm to a pre-defined pose in a phantom study demonstrates the practicality and accuracy of our developed 6DOF C-arm system.

Citation Download Citation

Lejing Wang, Rui Zou, Simon Weidert, Juergen Landes, Ekkehard Euler, Darius Burschka, and Nassir Navab "Closed-form inverse kinematics for intra-operative mobile C-arm positioning with six degrees of freedom", Proc. SPIE 7964, Medical Imaging 2011: Visualization, Image-Guided Procedures, and Modeling, 79641A (1 March 2011); https://doi.org/10.1117/12.877835

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