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首页> 外文期刊>Information visualization >Interactive isosurfaces with quadratic C~1 splines on truncated octahedral partitions
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Interactive isosurfaces with quadratic C~1 splines on truncated octahedral partitions

机译：截角八面体分区上具有二次C〜1样条的交互式等值面

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摘要

The reconstruction of a continuous function from discrete data is a basic task in many applications such as the visualization of 3D volumetric data sets. We use a local approximation method for quadratic C~1 splines on uniform tetrahedral partitions to achieve a globally smooth function. The spline is based on a truncated octahedral partition of the volumetric domain, where each truncated octahedron is further split into a fixed number of disjunct tetrahedra. The Bernstein-Bezier coefficients of the piecewise polynomials are directly determined by appropriate combinations of the data values in a local neighbourhood. As previously shown, the splines provide an approximation order two for smooth functions as well as their derivatives. We present the first visualizations using these splines and show that they are well suited for graphics processing unit (GPU)-based, interactive, high-quality visualization of isosurfaces from discrete data.
机译：从离散数据重建连续函数是许多应用程序的基本任务，例如3D体积数据集的可视化。我们对均匀的四面体分区上的二次C〜1样条使用局部逼近方法，以实现全局平滑函数。样条线基于体积域的截断的八面体分区，其中每个截断的八面体都进一步拆分为固定数量的分离的四面体。分段多项式的Bernstein-Bezier系数由本地区域中数据值的适当组合直接确定。如前所示，样条为平滑函数及其导数提供了近似二阶。我们展示了使用这些样条曲线的第一个可视化，并显示它们非常适合基于图形处理单元（GPU）的交互式，高质量，离散数据等值面的可视化。

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