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首页> 外文期刊>IEEE transactions on visualization and computer graphics >Efficient Visualization of Lagrangian Coherent Structures by Filtered AMR Ridge Extraction
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Efficient Visualization of Lagrangian Coherent Structures by Filtered AMR Ridge Extraction

机译：通过滤波的AMR脊提取有效地可视化拉格朗日相干结构

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This paper presents a method for filtered ridge extraction based on adaptive mesh refinement. It is applicable in situations where the underlying scalar field can be refined during ridge extraction. This requirement is met by the concept of Lagrangian coherent structures which is based on trajectories started at arbitrary sampling grids that are independent of the underlying vector field. The Lagrangian coherent structures are extracted as ridges in finite Lyapunov exponent fields computed from these grids of trajectories. The method is applied to several variants of finite Lyapunov exponents, one of which is newly introduced. High computation time due to the high number of required trajectories is a main drawback when computing Lyapunov exponents of 3-dimensional vector fields. The presented method allows a substantial speed-up by avoiding the seeding of trajectories in regions where no ridges are present or do not satisfy the prescribed filter criteria such as a minimum finite Lyapunov exponent.
机译：本文提出了一种基于自适应网格细化的滤波岭提取方法。它适用于在脊提取过程中可以精化基础标量场的情况。拉格朗日相干结构的概念满足了这一要求，该概念基于从任意采样网格开始的轨迹，而这些采样网格独立于基础矢量场。拉格朗日相干结构被提取为从这些轨迹网格计算出的有限Lyapunov指数场中的脊。该方法适用于有限Lyapunov指数的几种变体，其中之一是新引入的。当计算3维矢量场的Lyapunov指数时，由于所需轨迹数量众多而导致的高计算时间是主要缺点。所提出的方法通过避免在不存在脊或不满足规定的滤波器标准（例如最小有限Lyapunov指数）的区域中形成轨迹，从而大大提高了速度。

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