利用最近点法计算形状DNA

SIAM undergraduate research online Pub Date : 2018-01-14 DOI:10.1137/18s016801

Rachel Han

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引用次数: 1

摘要

我们演示了最近点法的一个应用，其中使用对象的拉普拉斯-贝尔特拉米算子的截断谱来识别对象。分析了该方法的有效性，并给出了MATLAB中用于计算给定矩阵特征值的默认算法eigs。我们还通过多维尺度算法对“相似”对象进行了聚类，并对其有效性进行了实证检验。

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Computing shape DNA using the closest point method

We demonstrate an application of the closest point method where the truncated spectrum of the Laplace--Beltrami operator of an object is used to identify the object. The effectiveness of the method is analyzed as well as the default algorithm, `eigs', in MATLAB which computes the eigenvalues of a given matrix. We also cluster "similar" objects via multi-dimensional scaling algorithm and empirically measure its effectiveness.

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SIAM undergraduate research online

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