LEM-An approach for physically based soft tissue simulation suitable for haptic interaction
LEM-An approach for physically based soft tissue simulation suitable for haptic interaction
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LEM-一种适用于触觉交互的基于物理的软组织模拟方法
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通讯作者：
Ivan F. Costa
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作者：
R. Balaniuk;Ivan F. Costa
本文提出了LEM长单元法，这是一种新的基于物理的可变形物体模拟方法，适用于真实的实时动画和触觉交互。该方法基于帕斯卡原理和体积守恒原理，实现了流体填充物体弹性整体变形的静态求解。物体的物理模型使用体积变量：压力，密度，体积和应力。体积离散化为长元素。这种离散化有两个主要的优点：用于填充对象的元素数量比基于四面体或立方体元素的离散化少一个数量级;图形和触觉反馈可以直接从元素中导出，并且不需要中间几何表示。使用静态而不是PDE方程避免了有关数值积分的所有问题，确保了模拟和触觉渲染的稳定性。
This paper presents LEM Long Elements Method, a new approach for physically based simulation of deformable objects, suitable for real time animation and haptic interaction. The method implements a static solution for elastic global deformations of objects lled with uid based on the Pascal's principle and volume conservation. The physics of the objects are modeled using bulk variables: pressure, density, volume and stress. The volumes are discretised in long elements. This discretisation has two main advantages: the number of elements used to ll an object is one order of magnitude less than in a discretisation based on tetrahedric or cubic elements; the graphic and the haptic feedback can be directly derived from the elements, and no intermediate geometric representation is needed. The use of static instead of PDE equations avoids all the problems concerning numerical integration, ensuring stability for the simulation and for the haptic rendering.