To deploy yarn‐level cloth simulations in production environments, it is paramount to design very efficient implementations, which mitigate the cost of the extremely high resolution. To this end, nodal discretizations aligned with the regularity of the fabric structure provide an optimal setting for efficient GPU implementations. However, nodal discretizations complicate the design of robust and controllable bending. In this paper, we address this challenge, and propose a model of bending that is both robust and controllable, and employs only nodal degrees of freedom. We extract information of yarn and fabric orientation implicitly from the nodal degrees of freedom, with no need to augment the model explicitly. But most importantly, and unlike previous formulations that use implicit orientations, the computation of bending forces bears no overhead with respect to other nodal forces such as stretch. This is possible by tracking optimal orientations efficiently. We demonstrate the impact of our bending model in examples with controllable anisotropy, as well as ironing, wrinkling, and plasticity.

中文翻译：

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纱线级布料节点离散化的弯曲模型

为了在生产环境中部署纱线级布料模拟，设计非常有效的实现至关重要，这可以降低极高分辨率的成本。为此，与结构结构的规律性一致的节点离散化为高效的 GPU 实现提供了最佳设置。然而，节点离散化使稳健和可控弯曲的设计复杂化。在本文中，我们解决了这一挑战，并提出了一种既稳健又可控且仅采用节点自由度的弯曲模型。我们从节点自由度中隐式地提取纱线和织物方向的信息，无需显式增加模型。但最重要的是，与之前使用隐式方向的公式不同，相对于其他节点力（例如拉伸），弯曲力的计算没有开销。这可以通过有效地跟踪最佳方向来实现。我们在具有可控各向异性以及熨烫、起皱和可塑性的示例中展示了我们的弯曲模型的影响。