Laplacian Damping for Projective Dynamics
Laplacian Damping for Projective Dynamics
复制标题
射影动力学的拉普拉斯阻尼
DOI：
10.2312/vriphys.20181065
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
L. Kavan
中科院分区：
文献类型：
--
作者：
Jing Li;Tiantian Liu;L. Kavan
阻尼是基于物理的可变形物体仿真中的一个重要组成部分。最近的工作介绍了新的快速仿真方法，如基于位置的动力学和投影动力学。目前与基于位置的动力学或投影动力学结合使用的显式速度阻尼方法简单快速，但有一些局限性。它们可以阻尼全局运动或在整个模拟对象中非物理地传输速度。更高级的阻尼模型没有这些限制，但评估速度很慢，击败了快速求解器（如投影动力学）的优势。我们提出了一种新型的阻尼模型，专门为投影动力学，它提供了先进的阻尼模型的质量，同时只增加了最小的计算开销。关键思想是使用投影动力学的拉普拉斯矩阵来定义阻尼力。在一些仿真例子中，我们表明，这种阻尼模型在实践中工作得很好。当与使用非耗散隐式中点积分器的修改后的投影动力学求解器一起使用时，我们的阻尼方法提供完全用户可控的阻尼，允许用户快速生成视觉上令人愉悦和生动的动画。CCS概念·计算方法学→物理模拟
Damping is an important ingredient in physics-based simulation of deformable objects. Recent work introduced new fast simulation methods such as Position Based Dynamics and Projective Dynamics. Explicit velocity damping methods currently used in conjunction with Position Based Dynamics or Projective Dynamics are simple and fast, but have some limitations. They may damp global motion or non-physically transport velocities throughout the simulated object. More advanced damping models do not have these limitations, but are slow to evaluate, defeating the benefits of fast solvers such as Projective Dynamics. We present a new type of damping model specifically designed for Projective Dynamics, which provides the quality of advanced damping models while adding only minimal computing overhead. The key idea is to define damping forces using Projective Dynamics’ Laplacian matrix. In a number of simulation examples we show that this damping model works very well in practice. When used with a modified Projective Dynamics solver that uses a non-dissipative implicit midpoint integrator, our damping method provides fully user-controllable damping, allowing the user to quickly produce visually pleasing and vivid animations. CCS Concepts • Computing methodologies → Physical simulation;