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首页> 外文期刊>IEEE transactions on visualization and computer graphics >Topology, Accuracy, and Quality of Isosurface Meshes Using Dynamic Particles
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Topology, Accuracy, and Quality of Isosurface Meshes Using Dynamic Particles

机译：使用动态粒子的等值面网格的拓扑，精度和质量

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This paper describes a method for constructing isosurface triangulations of sampled, volumetric, three-dimensional scalar fields. The resulting meshes consist of triangles that are of consistently high quality, making them well suited for accurate interpolation of scalar and vector-valued quantities, as required for numerous applications in visualization and numerical simulation. The proposed method does not rely on a local construction or adjustment of triangles as is done, for instance, in advancing wavefront or adaptive refinement methods. Instead, a system of dynamic particles optimally samples an implicit function such that the particles'' relative positions can produce a topologically correct Delaunay triangulation. Thus, the proposed method relies on a global placement of triangle vertices. The main contributions of the paper are the integration of dynamic particles systems with surface sampling theory and PDE-based methods for controlling the local variability of particle densities, as well as detailing a practical method that accommodates Delaunay sampling requirements to generate sparse sets of points for the production of high-quality tessellations.
机译：本文介绍了一种构造采样的三维三维标量场的等值面三角剖分的方法。生成的网格由质量始终如一的三角形组成，使其非常适合标量和矢量值量的精确插值，这是可视化和数值模拟中众多应用程序所要求的。所提出的方法不依赖于三角形的局部构造或调整，例如，在前进的波前或自适应细化方法中。取而代之的是，动态粒子系统可以对隐式函数进行最佳采样，以使粒子的相对位置可以产生拓扑正确的Delaunay三角剖分。因此，所提出的方法依赖于三角形顶点的整体放置。本文的主要贡献是将动态粒子系统与表面采样理论和基于PDE的方法相结合，以控制粒子密度的局部变化，并详细介绍了一种实用的方法，该方法可满足Delaunay采样要求以生成稀疏点集。生产高质量的镶嵌。

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