质量-弹簧-电荷系统的隐式-显式模拟
Implicit-Explicit simulation of Mass-Spring-Charge Systems
AI总结：
提出为质量-弹簧系统赋予静电荷以实现非拓扑连接点间的交互，并提供一种适用于大时间步长的稳定隐式-显式模拟算法，为计算机图形学和复杂物理系统建模提供新的艺术控制手段。
摘要：
由弹簧连接的质点，或称质量-弹簧系统，在计算机动画中被广泛用于近似可变形物体的行为。这些模型施加的限制之一是，未受拓扑约束（由弹簧连接）的点无法显式地相互交互。此类交互将为计算机图形学社区的艺术控制和动画引入新的维度。在图形学之外，该模型也可作为有效的代理，用于分子生物学等复杂物理系统的基于模型的学习。我们提出为质量-弹簧系统中的质点赋予静电荷，从而形成一个在所有带电点对之间具有内力的系统——无论它们是否由弹簧连接。我们提供了一种实用且稳定的算法，能在长时间范围内模拟带电的质量-弹簧系统。我们展示了如何通过引导电场或外部电荷等参数控制这些系统，从而为艺术创作提供新机遇。由于该方法在较大模拟时间步长下具有鲁棒性，因此特别适合计算机图形学应用。
英文摘要：
Point masses connected by springs, or mass-spring systems, are widely used in computer animation to approximate the behavior of deformable objects. One of the restrictions imposed by these models is that points that are not topologically constrained (linked by a spring) are unable to interact with each other explicitly. Such interactions would introduce a new dimension for artistic control and animation within the computer graphics community. Beyond graphics, such a model could be an effective proxy to use for model-based learning of complex physical systems such as molecular biology. We propose to imbue masses in a mass-spring system with electrostatic charge leading a system with internal forces between all pairs of charged points -- regardless of whether they are linked by a spring. We provide a practical and stable algorithm to simulate charged mass-spring systems over long time horizons. We demonstrate how these systems may be controlled via parameters such as guidance electric fields or external charges, thus presenting fresh opportunities for artistic authoring. Our method is especially appropriate for computer graphics applications due to its robustness at larger simulation time steps.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
