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融合位置动力学的物理建模优化方法研究

Research on Physical Modeling Optimization Method Integrating Position Based Dynamics
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摘要 为了满足物理建模的真实性和实时性要求,本文提出了一种基于虚拟手术系统中软组织形变仿真方法.该方法将弹簧力、系统外力与位置动力学的约束函数产生的约束力相结合,在位置动力学的基础上加入了改进的三参量质点弹簧模型,在弹力计算中引入了软组织的非线性、粘弹性,并参与约束投影过程,与位置动力学约束力的合力修正质点运动.该方法既考虑了软组织作为有机高聚物的粘弹性、非线性、不可压缩性等生物力学特性,同时又保留了位置的动力学方法的快速性及稳定性.通过仿真数据,得到改进的三参量模型中四面体网格划分的最佳边长,证明了该模型的蠕变和松弛特性.利用Geomagic Touch力反馈设备完成肝脏等器官的实时模拟,证明了此方法的实用性和有效性. To meet the authenticity and real-time of requirements of physical modeling,a soft tissue deformation simulation method based on virtual surgery system is proposed in this paper.This method combines the spring force,the external force of the system,and the constraint force produced by the constraint function of the position-based dynamics.Based on the position-based dynamics,an improved three-parameter mass-spring model is added.In the calculation of the elastic force,the nonlinearity and viscoelasticity of the soft tissue are introduced,and the joint force of the constraint projection process and the constraint force of the position based dynamics is used to modify mass points movement.The method of position-based dynamics on biological characteristics considers the biomechanical properties of biological soft tissue as an organic polymer such as viscoelasticity,nonlinearity,and incompressibility.It also retains the rapidity and stability of the position based dynamic method.Through the simulation data,the optimal side length of tetrahedral mesh in the improved three-parameter model is obtained,and the physical properties of the model are proved.The real-time simulation of the liver and other organs is completed by using the Geomagic touch force feedback device,which proves the practicability and effectiveness of this method.
作者 罗丹 张禹 李佳 LUO Dan;ZHANG Yu;LI Jia(Faculty of Mechanical Engineering,Shenyang University of Technology,Shenyang 110870,China)
出处 《小型微型计算机系统》 CSCD 北大核心 2023年第12期2707-2714,共8页 Journal of Chinese Computer Systems
基金 中国国家自然科学基金项目(51775354,52005344)资助。
关键词 物理建模 位置动力学 形变仿真 physical modeling position based dynamics deformation simulation
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