The statistical analysis of shape data

The statistical analysis of shape data
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DOI:
10.1093/biomet/76.2.271
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发表时间:
1989-06
期刊:
影响因子:
2.7
通讯作者:
K. Mardia;I. Dryden
K. Mardia;I. Dryden
中科院分区:
数学2区
文献类型:
--
作者:
K. Mardia;I. Dryden

文献摘要

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本文论述了地标数据的统计形状分析。Bookstein(1986)引入了一个合理的模型,并获得了三个地标的有用的正态近似。我们使用精确分布理论和正态近似考虑最大似然估计。给出了正态逼近的Fisher信息矩阵,并考虑了形状变化的假设。利用这些结果,我们分析了一个基于数字化形状的实际例子。该实例激发了工作的积极性,并指明了今后工作的总体方向.
SUMMARY The paper deals with the statistical shape analysis of landmark data. Bookstein (1986) introduced a plausible model and obtained a useful normal approximation for three landmarks. We use exact distribution theory and a normal approximation to consider maximum likelihood estimation. The Fisher information matrix for the normal approximation is given and we consider the hypothesis of shape change. Using these results, we analyse a practical example based on digitized shapes. This example motivated the work and the general direction for future work is indicated.