A Survey of Physically Based Simulation of Cuts in Deformable Bodies
A Survey of Physically Based Simulation of Cuts in Deformable Bodies
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DOI：
10.1111/cgf.12528
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发表时间：
2015-09
影响因子：
2.5
通讯作者：
Jun Wu;R. Westermann;C. Dick
中科院分区：
文献类型：
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作者：
Jun Wu;R. Westermann;C. Dick
变形体的虚拟切割是近十多年来物理建模与仿真领域的一个重要而活跃的研究课题。虚拟切割中的一个特别挑战是将切割鲁棒且有效地并入用于模拟可变形体的精确计算模型中。本报告提出了一个连贯的总结，最先进的虚拟切割的变形体，专注于不同的几何和拓扑表示的变形体，以及具体的数值离散化的运动方程。特别是，我们讨论了虚拟切割的四面体，六面体和多面体网格的基础上，结合标准，多面体，复合和扩展有限元离散。一个单独的部分专门用于无网格方法。此外，我们讨论了切割相关的研究问题，如碰撞检测和触觉渲染的背景下，交互式切割方案。该报告补充了一项应用研究，以评估虚拟切割模拟器的性能。
Virtual cutting of deformable bodies has been an important and active research topic in physically based modelling and simulation for more than a decade. A particular challenge in virtual cutting is the robust and efficient incorporation of cuts into an accurate computational model that is used for the simulation of the deformable body. This report presents a coherent summary of the state of the art in virtual cutting of deformable bodies, focusing on the distinct geometrical and topological representations of the deformable body, as well as the specific numerical discretizations of the governing equations of motion. In particular, we discuss virtual cutting based on tetrahedral, hexahedral and polyhedral meshes, in combination with standard, polyhedral, composite and extended finite element discretizations. A separate section is devoted to meshfree methods. Furthermore, we discuss cutting‐related research problems such as collision detection and haptic rendering in the context of interactive cutting scenarios. The report is complemented with an application study to assess the performance of virtual cutting simulators.