Titlebook: Topological Data Analysis for Scientific Visualization; Julien Tierny Book 2017 Springer International Publishing AG 2017 Topological Data

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凝乳

Background,portant definitions and properties are highlighted with boxes. For further readings, the reader is referred to the excellent introduction to Computational Topology by Edelsbrunner and Harer (Computational Topology: An Introduction. American Mathematical Society, Providence, 2009).

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filicide

meritorious

破裂

Introduction,tions that showed that a majority of the dwarf galaxies which orbit the larger Andromeda galaxy was actually rotating in a very thin, common plane structure. These observations then contradicted the state-of-art models which assumed that dwarf galaxies’ locations followed an isotropic random distrib

有常識

Background,rmalized. Second, some of the core concepts of Topological Data Analysis are presented, including critical points, notions of Persistent Homology, Reeb graphs and Morse-Smale Complexes. Finally, a brief review of the state-of-the-art algorithms is presented. For the reader’s convenience, the most im

pantomime

Abstraction,abstraction in scientific visualization. First, we present a combinatorial technique for the topological simplification of scalar data, given some user-defined or application-driven constraints. The algorithm slightly perturbs the input data such that only a constrained sub-set of critical points re

ACE-inhibitor

Interaction,ch for the interactive simplification of isosurfaces on non-simply connected domains, for visual exploration purposes. This approach is enabled by our fast Reeb graph computation algorithm, described in the previous chapter. Next, we present two algorithms for the editing of topological abstractions

collagen

Analysis,ise application problems, we describe how these algorithms can be adapted to conduct interactive data exploration and quantitative analysis. First, we describe how the split tree can be used to extract, enumerate and track flames through time in turbulent combustion simulations. While this approach