Topological persistence and simplification
Topological persistence and simplification
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DOI：
10.1007/s00454-002-2885-2
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发表时间：
2002-12-01
影响因子：
0.8
通讯作者：
Zomorodian, A
中科院分区：
文献类型：
--
作者：
Edelsbrunner, H;Letscher, D;Zomorodian, A
我们形式化的拓扑简化的概念的框架内的过滤，这是一个不断增长的复杂的历史。我们将生长过程中发生的拓扑变化归类为特征或噪声，这取决于其在过滤中的寿命或持久性。我们给快速算法计算持久性和实验证据，他们的速度和效用。
We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens during growth as either a feature or noise depending on its lifetime or persistence within the filtration. We give fast algorithms for computing persistence and experimental evidence for their speed and utility.