Controlling smoke simulations is a notoriously challenging and tedious task, usually requiring many trial-and-error iterations that prevent using expensive computations at high resolutions. Unfortunately, naïvely going from a more efficient low-resolution simulation to a high-quality high-resolution simulation usually results in a different behavior of smoke animation. Moreover, the longer the animation, the more different the result. We propose a tracking procedure where we optimally modify the velocity field of the simulation in order to make the smoke density distribution closely follow the low-resolution density in both space and time. We demonstrate the benefits of our approach by accurately tracking various 2D and 3D simulations. The resulting animations are predictable, preserving the coarse density distribution of the low-resolution guides, while being enhanced with plausible high-frequency details.

中文翻译：

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用于烟雾分辨率的密度精确跟踪解决方案

控制烟雾模拟是一项众所周知的具有挑战性和乏味的任务，通常需要多次反复试验，以防止在高分辨率下使用昂贵的计算。不幸的是，天真地从更有效的低分辨率模拟转向高质量的高分辨率模拟通常会导致烟雾动画的不同行为。此外，动画越长，结果就越不同。我们提出了一种跟踪程序，在该程序中，我们优化地修改了模拟的速度场，以使烟雾密度分布在空间和时间上都紧密遵循低分辨率密度。我们通过准确跟踪各种 2D 和 3D 模拟来证明我们方法的好处。生成的动画是可预测的，保留了低分辨率指南的粗密度分布，