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Visualizing and modeling scattered multivariate data

机译:可视化和建模分散的多元数据

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摘要

Visualizing two types of scattered data-volumetric data sampled in a three-dimensional volume and surface-on-surface data sampled on a three-dimensional surface-is addressed. Since measurements are often sampled at discrete scattered locations, mathematical models that are defined over the entire domain and that interpolate or approximate the given scattered data are used. The modeling function can be evaluated over a grid, so that a conventional, off-the-shelf visualization tool that applies to data on a uniform grid can be used. Volumes, gradient, centroids, and other quantities can be computed from the model. Even though the two kinds of data and their problems look similar in their mathematical descriptions, they are solved by different methods, and the various solutions are visualized with methods that are quite different.
机译:解决了可视化在三维体积中采样的两种类型的分散数据-体积数据和在三维表面上采样的表面上数据的问题。由于测量通常是在离散的分散位置进行采样,因此使用了在整个域中定义并内插或近似给定分散数据的数学模型。可以在网格上评估建模功能,以便可以使用适用于统一网格上数据的常规,现成的可视化工具。可以从模型中计算体积,梯度,质心和其他数量。即使这两种数据及其问题在数学描述上看起来相似,也可以通过不同的方法来解决,并且使用完全不同的方法来可视化各种解决方案。

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