Fluoroscopy-Constrained Magnetic Robot Control via Zernike-Based Field Modeling and Nonlinear MPC

📅 2026-02-16
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🤖 AI Summary
This study addresses the challenge of achieving precise control of magnetically actuated surgical robots under low-frame-rate (3 Hz) and high-noise (2 mm Gaussian noise) fluoroscopic imaging conditions. To this end, the authors propose a novel control framework that integrates an analytically differentiable Zernike polynomial-based magnetic field model, nonlinear model predictive control (NMPC), and Kalman filtering to directly compute coil currents for high-accuracy manipulation. This work presents the first integration of a Zernike basis magnetic field model with NMPC, significantly enhancing robustness and real-time performance under degraded visual feedback. Experimental validation in a 3D-printed spinal anatomical model demonstrates a root-mean-square position error of only 1.18 mm along drug delivery trajectories while consistently maintaining safe boundary distances.

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📝 Abstract
Magnetic actuation enables surgical robots to navigate complex anatomical pathways while reducing tissue trauma and improving surgical precision. However, clinical deployment is limited by the challenges of controlling such systems under fluoroscopic imaging, which provides low frame rate and noisy pose feedback. This paper presents a control framework that remains accurate and stable under such conditions by combining a nonlinear model predictive control (NMPC) framework that directly outputs coil currents, an analytically differentiable magnetic field model based on Zernike polynomials, and a Kalman filter to estimate the robot state. Experimental validation is conducted with two magnetic robots in a 3D-printed fluid workspace and a spine phantom replicating drug delivery in the epidural space. Results show the proposed control method remains highly accurate when feedback is downsampled to 3 Hz with added Gaussian noise (sigma = 2 mm), mimicking clinical fluoroscopy. In the spine phantom experiments, the proposed method successfully executed a drug delivery trajectory with a root mean square (RMS) position error of 1.18 mm while maintaining safe clearance from critical anatomical boundaries.
Problem

Research questions and friction points this paper is trying to address.

fluoroscopy
magnetic robot control
low frame rate
noisy pose feedback
surgical robotics
Innovation

Methods, ideas, or system contributions that make the work stand out.

Zernike polynomials
nonlinear model predictive control
magnetic actuation
fluoroscopic guidance
Kalman filter
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