The Frechet mean shape and the shape of the means
The Frechet mean shape and the shape of the means
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DOI：
10.1239/aap/1013540025
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发表时间：
2000-03-01
影响因子：
1.2
通讯作者：
Kume, A
中科院分区：
文献类型：
--
作者：
Le, HL;Kume, A
我们证明了Bookstein形状空间上一类概率度量的Frechet平均形状，与Kendall形状空间的情况相反，Bookstein形状空间上概率度量的Frechet平均形状由顶点上独立的正态分布引出，具有相同的协方差矩阵sigma(2)i(2)，不一定是平均形状。
We identify the Frechet mean shape with respect to the Riemannian metric of a class of probability measures on Bookstein's shape space of labelled triangles and show, in contrast to the case of Kendall's shape space, that the Frechet mean shape of the probability measure on Bookstein's shape space induced from independent normal distributions on vertices, having the same covariance matrix sigma(2)I(2), is not necessarily the shape of the means.