This open-access educational module covers the kinematics, dynamic control, and image-guided navigation frameworks essential to modern medical and surgical robotics.
Core Technical Topics
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Kinematic Modeling & RCM: Remote Center of Motion (RCM) constraints via mechanically decoupled linkages and null-space kinematic projection, alongside multi-DOF distal articulating wrists.
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Bilateral Teleoperation & Passivity: Master-slave motion scaling (alpha < 1), haptic force reflection (F_h = beta * F_t), and time-domain passivity control (PO/PC) to ensure stability under communication latency.
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Biomechanical Safety Boundaries: Real-time tissue force thresholding (||F(t)|| <= F_max), velocity clamping, and active virtual fixtures derived from segmented anatomical boundaries.
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Tremor Attenuation & Control: Physiological 8–12 Hz hand tremor filtering via real-time digital low-pass and adaptive notch algorithms, coupled with computed torque trajectory tracking.
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Multi-Modal Image Navigation: Resolving rigid and non-rigid SE(3) homogeneous transformations, hand-eye calibration (AX = XB), and augmented reality overlay registration.
Pedagogical Assets
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12 fully worked numerical engineering problems with complete mathematical derivations and step-by-step solutions.
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Dedicated engineering challenges analysis addressing soft-tissue deformation, bilateral haptic delay, and cable stretch hysteresis.
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Interactive conceptual quick reviews and self-assessment checkpoints.
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Standardized cross-platform layout designed for university coursework adoption and persistent academic reference.
Target Audience & Level Designed for upper-division undergraduate engineering courses (Biomedical Engineering, Robotics, Mechatronics, and Control Systems), university-preparatory STEM programs, and surgical robotic systems engineers.