通过地标三角测量进行形状的统计分析：灵长类动物性二态性研究
Statistical analysis of shape through triangulation of landmarks: A study of sexual dimorphism in hominids.
作者信息
Rao C R, Suryawanshi S
机构信息
Department of Statistics, 326 Thomas Building, Pennsylvania State University, University Park, PA 16802, USA.
出版信息
Proc Natl Acad Sci U S A. 1998 Apr 14;95(8):4121-5. doi: 10.1073/pnas.95.8.4121.
Two objects with homologous landmarks are said to be of the same shape if the configuration of landmarks of one object can be exactly matched with that of the other by translation, rotation/reflection, and scaling. In an earlier paper, the authors proposed statistical analysis of shape by considering logarithmic differences of all possible Euclidean distances between landmarks. Tests of significance for differences in the shape of objects and methods of discrimination between populations were developed with such data. In the present paper, the corresponding statistical methodology is developed by triangulation of the landmarks and by considering the angles as natural measurements of shape. This method is applied to the study of sexual dimorphism in hominids.
如果一个物体的标志点配置能够通过平移、旋转/反射和缩放与另一个物体的标志点配置精确匹配，那么具有同源标志点的两个物体就被认为具有相同的形状。在早期的一篇论文中，作者通过考虑标志点之间所有可能的欧几里得距离的对数差异，提出了形状的统计分析方法。利用这些数据，开发了物体形状差异的显著性检验和群体间的判别方法。在本文中，通过标志点的三角测量并将角度视为形状的自然度量，开发了相应的统计方法。该方法应用于人类两性异形的研究。
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