基于点采样的非结构化四面体网格简化

D. Uesu, Louis Bavoil, S. Fleishman, J. Shepherd, Cláudio T. Silva
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引用次数: 21

摘要

四面体网格在科学计算中广泛用于表示三维标量场、矢量场和张量场。其中一些网格的大小和复杂性限制了许多可视化算法的性能,使其难以实现交互式可视化。使用简化模型是实现实时探索这些数据集的一种方法。在本文中,我们提出了一种简化大型非结构化网格的新技术。目前大多数技术都是使用边缘折叠来简化网格的几何形状。我们的技术通过将原始标量场分割成两个部分,即原始域的边界和标量场的内部样本,直接简化了底层标量场。然后,我们分别简化每个部分,并考虑适当的误差范围。最后,我们将简化的域边界和标量场组合成一个完整的简化网格,可以用标准的非结构化数据可视化工具进行可视化。我们的技术比基于边坍缩的简化方法快得多。此外,它特别适合于激进化简。实验表明,我们的技术产生的网格等值面和体效果图几乎没有明显的视觉伪影。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Simplification of unstructured tetrahedral meshes by point sampling
Tetrahedral meshes are widely used in scientific computing for representing 3D scalar, vector, and tensor fields. The size and complexity of some of these meshes can limit the performance of many visualization algorithms, making it hard to achieve interactive visualization. The use of simplified models is one way to enable the real-time exploration of these datasets. In this paper, we propose a novel technique for simplifying large unstructured meshes. Most current techniques simplify the geometry of the mesh using edge collapses. Our technique simplifies an underlying scalar field directly by segmenting the original scalar field into two pieces: the boundary of the original domain and the interior samples of the scalar field. We then simplify each piece separately, taking into account proper error bounds. Finally, we combine the simplified domain boundary and scalar field into a complete, simplified mesh that can be visualized with standard unstructured-data visualization tools. Our technique is much faster than edge-collapse-based simplification approaches. Furthermore, it is particularly suitable for aggressive simplification. Experiments show that isosurfaces and volume renderings of meshes produced by our technique have few noticeable visual artifacts.
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