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Efficient Steady-State Tissue Simulation for Surgical Robotics: A First-Order Position-Based Method

Samuel Tobin, Yufei Wu,Fei Liu,Caleb Rucker

2025 International Symposium on Medical Robotics (ISMR)(2025)

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Abstract
Soft tissue simulation can play an essential role in the automation of robotic surgery by providing contextual information during surgery and generating datasets for training. Any time tissue deformations are simulated, computational speed, accuracy, and stability are key concerns. State-of-theart tissue simulation resolves inertial dynamics solutions using position-based computational methods. However, existing methods fail to efficiently resolve steady-state solutions at surgical size scales because of transient inertial dynamics and the small time step required for stability at such size scales. We propose a position-based tissue simulation framework which is based on large-deformation Neo-Hookean elasticity and enables fast resolution to steady-state for efficient simulation. Our method replaces the inertial terms in the model with a virtual viscous damping term. This enables realistic tissue motion while eliminating the transient vibrations that require more computation. It also enables smooth and stable dynamic transitions between disparate static states. We detail the selection of parameters and step sizes for efficient steady-state simulation. We further compare our approach to a state-of-the-art position-based method and show significant improvements in stability and realtime performance at surgical size scales.
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Key words
Efficient Simulation,First-order Method,Steady-state Simulations,Steady-state Tissue,Position-based Methods,Time Step,Soft Tissue,Computational Speed,Size Scale,Steady-state Solution,Tissue Deformation,Transient Dynamics,Small Time Step,Inertial Term,Damping Term,Significant Improvement In Stability,Stiffness,Young’s Modulus,Small Scale,Large Time Step,Real-time Simulation,Surgical Simulation,Damping Matrix,Collision Detection,Equations Of Motion,Elastic Force,Newton’s Second Law,Vector Of Lagrange Multipliers,Second-order Method
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要点】:本研究提出了一种基于大变形Neo-Hookean弹性的位置基软组织模拟框架,通过替换模型中的惯性项为虚拟粘性阻尼项,实现了在手术尺度下的快速稳态模拟,提高了手术机器人模拟的效率。

方法】:研究采用了一种新的方法,通过在模型中引入虚拟粘性阻尼项替代惯性项,以实现快速稳态的软组织模拟。

实验】:作者通过比较所提出的方法与现有先进位置基方法,在手术尺度上展示了其在稳定性和实时性能方面的显著提升。论文中未明确提及使用的具体数据集名称。