A real time finite element based tissue simulation method incorporating nonlinear elastic behavior
A real time finite element based tissue simulation method incorporating nonlinear elastic behavior
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DOI：
10.1080/10255840500295852
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发表时间：
2005-06-01
影响因子：
1.6
通讯作者：
Peters, Terry M.
中科院分区：
文献类型：
--
作者：
Zhong, Hualiang;Wachowiak, Mark P.;Peters, Terry M.
本文提出了一种新的手术模拟器有限元模拟方法。基于非线性弹性模型导出的代数方程的解，我们提出了一种基于接触节点和自由节点位移之间隐式关系的实时模拟规则。该规则在线性情况下是解析表达式，在非线性情况下是隐式关系的近似。我们还消除了以前的线性和非线性方法对灵活性的一些限制。在线性情况下，利用仿真规则实现了接触节点和边界约束的实时重构，而在非线性情况下，利用仿射映射获得了类似的结果。
This paper presents a new finite element simulation approach for surgical simulators. Based on the solution of the algebraic equations derived from a nonlinear elastic model, we propose a real time simulation rule based on the implicit relation between the displacements of contacted and free nodes. This rule is an analytic expression in the linear case, and an approximation of the implicit relation in the non-linear case. We also remove some of the restrictions on flexibility exhibited by previous linear and nonlinear approaches. In the linear case, real time reconfiguration of the contacted nodes and the boundary constraints is realized using the simulation rule, while in the nonlinear case, a similar result is obtained by employing affine mapping.