Authoring and Simulating Meandering Rivers

A. Paris, É. Guérin, Pauline Collon, E. Galin
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Abstract

We present a method for interactively authoring and simulating meandering river networks. Starting from a terrain with an initial low-resolution network encoded as a directed graph, we simulate the evolution of the path of the different river channels using a physically-based migration equation augmented with control terms. The curvature-based terms in the equation allow us to reproduce phenomena identified in geomorphology, such as downstream migration of bends. Control terms account for the influence of the landscape topography and user-defined river trajectory constraints. Our model implements abrupt events that shape meandering networks, such as cutoffs forming oxbow lakes and avulsions. We visually show the effectiveness of our method and compare the generated networks quantitatively to river data by analyzing sinuosity and wavelength metrics. Our vector-based model runs at interactive rates, allowing for efficient authoring of large-scale meandering networks.
编写和模拟蜿蜒的河流
提出了一种曲流河网的交互创作与模拟方法。从具有初始低分辨率网络编码为有向图的地形开始,我们使用带有控制项的基于物理的迁移方程来模拟不同河道路径的演变。方程中基于曲率的术语使我们能够重现地貌学中确定的现象,例如弯曲的下游迁移。控制项考虑了景观地形和用户定义的河流轨迹约束的影响。我们的模型实现了形成蜿蜒网络的突发事件,例如形成牛轭湖和撕裂的断裂带。我们直观地展示了我们方法的有效性,并通过分析弯曲度和波长度量来定量地将生成的网络与河流数据进行比较。我们基于矢量的模型以交互速率运行,允许高效地创作大规模蜿蜒的网络。
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