手术模拟中软组织变形的混合有限元法

Jianyun Chai, Jian Sun, Zesheng Tang
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引用次数: 8

摘要

手术模拟已被发现在手术计划和训练中非常有用。为了获得物理逼真的手术模拟,需要实时处理具有非线性弹性和多变拓扑结构的软组织变形。然而,到目前为止,大多数用于软组织变形的实时方法功能较少。本文提出了一种改进的混合有限元算法,将这两个关键因素纳入到一个统一的框架中,从而推广了有限元在手术仿真中的应用。由于非线性特性和拓扑变化对软组织变形的影响往往出现在手术部位附近的局部区域,因此只需在手术时更新该有限区域的有限元模型;而其他地区的模型可以保持不变。给出了混合有限元算法的实现,并通过算例验证了算法的有效性。
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Hybrid FEM for deformation of soft tissues in surgery simulation
Surgery simulation has been found very useful in surgery planning and training. In order to obtain a physically realistic surgery simulation, it is needed to treat the deformation of soft tissues with nonlinear elastic properties and changeable topologies in real time. Most of the real-time approaches to soft tissue deformation used so far, however, have less functions. In this paper, an improved algorithm, called Hybrid FEM, is proposed to include the two vital factors into a unified framework, which generalizes the use of FEM in surgery simulation. Since the effects of nonlinear properties and topology changes on the deformation of soft tissues often appear locally around the operating positions, only the model of FEM for that limited region should be updated as the operation is performed; while the model for other regions can be kept constant. The Hybrid FEM algorithm has been implemented and examples are given to show the validity of the algorithm.
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