Measuring shape with topology
Measuring shape with topology
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DOI：
10.1063/1.4737391
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发表时间：
2012-07-01
影响因子：
1.3
通讯作者：
Schweinhart, Benjamin
中科院分区：
文献类型：
--
作者：
MacPherson, Robert;Schweinhart, Benjamin
我们提出了一种适合于研究复杂几何结构的形状度量，该度量使用结构的邻域拓扑定义。这一度量的一个方面给出了一个新的分维概念。我们通过将其应用于支化聚合物、布朗树和自避免随机游动来证明该度量的实用性和可计算性。(C)2012年美国物理研究所。[http://dx.doi.org/10.1063/1.4737391]
We propose a measure of shape which is appropriate for the study of a complicated geometric structure, defined using the topology of neighborhoods of the structure. One aspect of this measure gives a new notion of fractal dimension. We demonstrate the utility and computability of this measure by applying it to branched polymers, Brownian trees, and self-avoiding random walks. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4737391]