弹性材料的相空间数据驱动仿真

C. Monteagudo, M. Lozano, I. García-Fernández, Francisco Martínez-Gil
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摘要

在计算机动画中使用数据驱动模型有几个好处。我们提出了一种回归模型的分析方法来模拟布料。在我们的方法中,我们从一个简单的质量-弹簧系统生成数据并拟合回归量。然后,我们组装更复杂的质量-弹簧系统,并使用学习到的模型来模拟它们。为了验证该方法,我们执行了几个测试。我们分析了单个学习弹簧的弹性特性,测量了其刚度系数,并将其与原始的基于物理的模型进行了比较。我们还建立了几个测试场景,其中包括一块布在重力下的模拟,比较回归模型和基于物理的模型。最后,我们对高刚度系数系统的回归模型进行了性能测试,并与半隐式欧拉积分法比较了其稳定性。
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Phase Space Data-Driven Simulation of Elastic Materials
The use of data driven models in computer animation offers several benefits. We present an analysis of a regression model as a method to simulate cloth. In our approach, we generate data from a simple mass-spring system and we fit a regressor. Then, we assemble more complex mass-spring systems and use the learnt model to simulate them. To validate the approach we perform several tests. We analyze the elastic properties of a single learnt spring, measuring its stiffness coefficient, and compare it to the original, physics-based, model. We also build several test scenarios which include the simulation of a piece of cloth under gravity, comparing the regression model and the physics-based model. Finally we test the behaviour of the regression model for systems with high stiffness coefficient and compare its stability properties with a semi-implicit Euler integration method.
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