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首页> 外文期刊>Medical image analysis >Suite of finite element algorithms for accurate computation of soft tissue deformation for surgical simulation.
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Suite of finite element algorithms for accurate computation of soft tissue deformation for surgical simulation.

机译：一组有限元算法，可精确计算软组织变形以进行手术模拟。

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摘要

Real time computation of soft tissue deformation is important for the use of augmented reality devices and for providing haptic feedback during operation or surgeon training. This requires algorithms that are fast, accurate and can handle material nonlinearities and large deformations. A set of such algorithms is presented in this paper, starting with the finite element formulation and the integration scheme used and addressing common problems such as hourglass control and locking. The computation examples presented prove that by using these algorithms, real time computations become possible without sacrificing the accuracy of the results. For a brain model having more than 7,000 degrees of freedom, we computed the reaction forces due to indentation with frequency of around 1,000 Hz using a standard dual core PC. Similarly, we conducted simulation of brain shift using a model with more than 50,000 degrees of freedom in less than one minute. The speed benefits of our models result from combining the Total Lagrangian formulation with explicit time integration and low order finite elements.
机译：软组织变形的实时计算对于增强现实设备的使用以及在手术或外科医生培训期间提供触觉反馈非常重要。这就需要快速，准确并能处理材料非线性和大变形的算法。本文提出了一组此类算法，从有限元公式和所使用的集成方案开始，并解决诸如沙漏控制和锁定之类的常见问题。给出的计算示例证明，通过使用这些算法，可以在不牺牲结果准确性的情况下进行实时计算。对于具有超过7,000个自由度的大脑模型，我们使用标准的双核PC计算了由于压痕而产生的反作用力，其频率约为1,000 Hz。同样，我们在不到一分钟的时间内使用具有50,000多个自由度的模型进行了大脑移动的模拟。我们的模型的速度优势是通过将总拉格朗日公式与显式时间积分和低阶有限元相结合而产生的。

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