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Introduction
Collaboration between localization and manipulation systems is important for safe and efficient deployment of magnetic continuum robots1,2 during diagnostic and therapeutic interventions3. Recent clinical demonstrations have shown the potential of these robots to navigate tortuous environments under magnetic manipulation4, 5, 6–7. Meanwhile, traditionally large stationary manipulation systems8,9 are being downsized for greater mobility and reduced floorspace, moving toward commercialization10, 11, 12–13. These systems generate targeted magnetic fields toward manipulation of robots in vivo, which is facilitated by localization systems that reconstruct relative three-dimensional (3D) position and orientation information essential for control14,15. In this regard, localization connects manipulation systems to microsurgical devices.
Conventional medical localization methods use technologies like stereo vision14,16, biplane fluoroscopy17,18, angulated C-arm fluoroscopy19,20, ultrasound21, 22, 23–24, or magnetic resonance imaging systems25, 26–27. These methods are compatible with various types of microrobots and offer various spatial and temporal resolutions, penetration depths, and sizes of infrastructure28. However, closed-loop magnetic manipulation is challenging due to often unknown coordinate transformations between physically disconnected reference frames of imaging and magnetic manipulation systems29.
Alternatively, low-field localization methods (here defined in the nano- to milli-Tesla range), enable the development of magnetic tracking and manipulation systems that are independent of conventional medical imaging technologies30. These methods rely on detecting magnetic fields and reconstructing the relative pose of the field source31. They typically involve external magnetic field sources combined with internal sensorized devices32, 33–34 or magneto-mechanical resonators with external magnetometer arrays35,36.
Sensorized magnetic devices, often equipped with a single tri-axial magnetometer37, 38, 39–40, can be localized relative to, and manipulated by, external field generating hardware30,33. However, device miniaturization is limited by the space required for the sensor and the need for a rigid magnet-sensor connection to prevent saturation and maintain a consistent local field30. Alternatively, resonators offer better miniaturization potential by using a single magnet for both localization and manipulation, but they require targeted excitation fields and external magnetometer arrays to measure oscillating fields36. Increasing numbers of stationary magnetometers are required to expand the localization workspace when physically decoupled from magnetic manipulation...




