Topological cacti: Visualizing contour-based statistics
Topological cacti: Visualizing contour-based statistics
复制标题
拓扑仙人掌：可视化基于轮廓的统计数据
DOI：
10.1007/978-3-642-23175-9_5
复制
发表时间：
2012
影响因子：
1.7
通讯作者：
Valerio Pascucci
中科院分区：
文献类型：
--
作者：
G. Weber;P. Bremer;Valerio Pascucci
等高线是水平集的连通分量，在理解标量场的全局结构中发挥着重要作用。特别是它们的嵌套行为和拓扑（通常以等高线树的形式表示）已被广泛用于可视化和分析。然而，传统的轮廓树仅编码结构属性，例如轮廓的数量或轮廓的嵌套，而很少编码诸如体积或其他统计数据之类的定量信息。在这里，我们使用轮廓树隐含的分割来计算定义轮廓树的函数以及其他共置函数的大量基于每个轮廓（间隔）的统计数据。我们引入了一种新的等高线树视觉隐喻，称为拓扑仙人掌，它扩展了等高线树的传统拓扑显示，以显示额外的定量信息，如仙人掌树干的宽度和尖峰的长度。我们将新技术应用于不同维度和不同度量的标量场，以证明该方法的有效性。
Contours, the connected components of level sets, play an important role in understanding the global structure of a scalar field. In particular their nesting behavior and topology – often represented in form of a contour tree – have been used extensively for visualization and analysis. However, traditional contour trees only encode structural properties like number of contours or the nesting of contours, but little quantitative information such as volume or other statistics. Here we use the segmentation implied by a contour tree to compute a large number of per-contour (interval) based statistics of both the function defining the contour tree as well as other co-located functions. We introduce a new visual metaphor for contour trees, called topological cacti, that extends the traditional toporrery display of a contour tree to display additional quantitative information as width of the cactus trunk and length of its spikes. We apply the new technique to scalar fields of varying dimension and different measures to demonstrate the effectiveness of the approach.