Direct Isosurface Visualization of Hex-Based High-Order Geometry and Attribute Representations
Direct Isosurface Visualization of Hex-Based High-Order Geometry and Attribute Representations
复制标题
基于六角形的高阶几何和属性表示的直接等值面可视化
DOI：
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发表时间：
2012
影响因子：
5.2
通讯作者：
R. Kirby
中科院分区：
文献类型：
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作者：
T. Martin;E. Cohen;R. Kirby
在本文中，我们提出了一种新的等值面可视化技术，保证准确的可视化等值面（非）结构化（弯曲）的线性六面体网格上定义的复杂属性数据。在均匀网格（包括MRI和CT扫描）和更复杂的几何结构上的基于高阶六面体的有限元解的等值面表示可以使用我们的算法渲染的感兴趣的域。此外，我们的技术可用于直接可视化的解决方案和属性的等几何分析，一个领域的基础上三变量高阶NURBS（非均匀有理B样条）几何和属性表示的分析。此外，我们的技术可以用来可视化等值面的代数函数。我们的方法结合了细分和数值根查找，形成一个强大的和有效的等值面可视化算法，不错过表面特征，同时找到所有的视图截头体和所需的等值面之间的交集。这允许在渲染过程中使用与视图无关的透明度。我们证明了我们的技术，通过一个简单的CPU实现复杂的结构和复杂的非结构化的几何形状与高阶模拟解决方案，医学数据集的等值面，和代数函数的等值面。
In this paper, we present a novel isosurface visualization technique that guarantees the accurate visualization of isosurfaces with complex attribute data defined on (un)structured (curvi)linear hexahedral grids. Isosurfaces of high-order hexahedral-based finite element solutions on both uniform grids (including MRI and CT scans) and more complex geometry representing a domain of interest that can be rendered using our algorithm. Additionally, our technique can be used to directly visualize solutions and attributes in isogeometric analysis, an area based on trivariate high-order NURBS (Non-Uniform Rational B-splines) geometry and attribute representations for the analysis. Furthermore, our technique can be used to visualize isosurfaces of algebraic functions. Our approach combines subdivision and numerical root finding to form a robust and efficient isosurface visualization algorithm that does not miss surface features, while finding all intersections between a view frustum and desired isosurfaces. This allows the use of view-independent transparency in the rendering process. We demonstrate our technique through a straightforward CPU implementation on both complex-structured and complex-unstructured geometries with high-order simulation solutions, isosurfaces of medical data sets, and isosurfaces of algebraic functions.