Generation of Accurate Integral Surfaces in Time-Dependent Vector Fields
Generation of Accurate Integral Surfaces in Time-Dependent Vector Fields
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DOI：
10.1109/tvcg.2008.133
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发表时间：
2008-11
影响因子：
5.2
通讯作者：
C. Garth;H. Krishnan;X. Tricoche;Tom Tricoche;K. Joy
中科院分区：
文献类型：
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作者：
C. Garth;H. Krishnan;X. Tricoche;Tom Tricoche;K. Joy
我们提出了一种直接计算瞬态向量场中积分曲面的新方法。与我们详细分析的之前的工作相反，我们的方法基于将积分表面计算分为两个阶段：表面近似和图形表示的生成。这使我们能够克服现有技术的一些限制。我们首先描述一种表面积分算法，该算法使用迭代细化来近似一系列时间线并计算积分表面的骨架。第二步，我们生成一个条件良好的三角剖分。我们的方法允许以高效、流式传输的方式高精度处理非常大的时变矢量场。我们在几个示例数据集上检查所提出的方法的属性，并对其正确性和准确性进行数值研究。最后，我们研究了积分曲面的一些可视化方面。
We present a novel approach for the direct computation of integral surfaces in time-dependent vector fields. As opposed to previous work, which we analyze in detail, our approach is based on a separation of integral surface computation into two stages: surface approximation and generation of a graphical representation. This allows us to overcome several limitations of existing techniques. We first describe an algorithm for surface integration that approximates a series of time lines using iterative refinement and computes a skeleton of the integral surface. In a second step, we generate a well-conditioned triangulation. Our approach allows a highly accurate treatment of very large time-varying vector fields in an efficient, streaming fashion. We examine the properties of the presented methods on several example datasets and perform a numerical study of its correctness and accuracy. Finally, we investigate some visualization aspects of integral surfaces.