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Bounce Maps: An Improved Restitution Model for Real-Time Rigid-Body Impact

机译:弹跳图:实时刚体碰撞的改进归还模型

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摘要

We present a novel method to enrich standard rigid-body impact models with a spatially varying coefficient of restitution map, or Bounce Map. Even state-of-the art methods in computer graphics assume that for a single rigid body, post- and pre-impact dynamics are related with a single global, constant, namely the coefficient of restitution. We first demonstrate that this assumption is highly inaccurate, even for simple objects. We then present a technique to efficiently and automatically generate a function which maps locations on the object’s surface along with impact normals, to a scalar coefficient of restitution value. Furthermore, we propose a method for twobody restitution analysis, and, based on numerical experiments, estimate a practical model for combining one-body Bounce Map values to approximate the two-body coefficient of restitution. We show that our method not only improves accuracy, but also enables visually richer rigid-body simulations.
机译:我们提出了一种新颖的方法,可以利用空间变化的恢复系数图或弹跳图来丰富标准刚体碰撞模型。甚至计算机图形学中的最新技术方法都假定对于单个刚体,碰撞后和碰撞前的动力学与单个全局常数(即恢复系数)相关。我们首先证明,即使对于简单对象,该假设也是非常不准确的。然后,我们提出一种技术,该技术可以高效且自动地生成将物体表面上的位置以及撞击法线映射到标量恢复系数值的函数。此外,我们提出了一种两体恢复分析的方法,并在数值实验的基础上,估计了一个实用模型,该模型结合了一个人的弹跳图值来近似两体恢复系数。我们证明了我们的方法不仅提高了精度,而且还使视觉上更丰富的刚体仿真成为可能。

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