二维morse - small函数的多分辨率数据结构

IEEE Visualization, 2003. VIS 2003. Pub Date : 2003-10-22 DOI:10.1109/VISUAL.2003.1250365

P. Bremer, H. Edelsbrunner, B. Hamann, Valerio Pascucci

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引用次数: 64

摘要

我们结合拓扑和几何方法在二维域上构造函数的多分辨率数据结构。从morse - small复合体开始，我们通过逐步消除对中的临界点来构建拓扑层次结构。同时，我们通过使几何结构适应拓扑结构的变化来创建几何层次结构。该数据结构支持类似于传统多分辨率表示的网格遍历操作。

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A multi-resolution data structure for two-dimensional Morse-Smale functions

We combine topological and geometric methods to construct a multi-resolution data structure for functions over two-dimensional domains. Starting with the Morse-Smale complex, we construct a topological hierarchy by progressively canceling critical points in pairs. Concurrently, we create a geometric hierarchy by adapting the geometry to the changes in topology. The data structure supports mesh traversal operations similarly to traditional multi-resolution representations.

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来源期刊

IEEE Visualization, 2003. VIS 2003.

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