IEEE Trans Cybern. 2017 Nov;47(11):3494-3503. doi: 10.1109/TCYB.2016.2560938. Epub 2016 May 12.
A novel meshless deformation model of biological soft tissue, which is mainly based on the radial basis function point interpolation, is presented for interactive simulation applications such as virtual surgery simulators. Compared with conventional mesh models, the proposed model is particularly suitable for simulating large deformation, sucking and cutting tasks since there is no need to maintain grid information. Kelvin viscoelasticity, which represents relaxation, creep, and hysteresis of soft tissue, is integrated into the proposed model, making the simulation much more realistic than many existing meshless models. To verify the validity of the proposed model, a biomechanical test was performed on real-life biological tissue and the results show that the maximum relative error between the forces from the biomechanical test and those obtained from the model is less than 5.8%. The proposed model was also implemented on a neurosurgery simulator, which showed that the deformation of the brain tumor can be simulated in a high degree of accuracy with real-time performance. In particular, the error and distortion from the remeshing process inherited in conventional mesh models when deformation is large are avoided.
一种新的生物软组织无网格变形模型，主要基于径向基函数点插值，为虚拟手术模拟器等交互式模拟应用提供了支持。与传统的网格模型相比，由于不需要维护网格信息，因此该模型特别适合模拟大变形、抽吸和切割任务。所提出的模型集成了 Kelvin 粘弹性，它代表了软组织的松弛、蠕变和滞后，使模拟比许多现有的无网格模型更加真实。为了验证所提出模型的有效性，对真实生物组织进行了生物力学测试，结果表明，生物力学测试得到的力与模型得到的力之间的最大相对误差小于 5.8%。所提出的模型还在神经外科模拟器上实现，结果表明，大脑肿瘤的变形可以以实时的方式高精度地模拟。特别是，避免了传统网格模型在变形较大时继承的重新网格化过程中的误差和失真。
