Rao C R
Statistics Department, 326 Joab Thomas Building, Pennsylvania State University, University Park, PA 16802, USA.
Proc Natl Acad Sci U S A. 1998 Oct 27;95(22):12783-6. doi: 10.1073/pnas.95.22.12783.
This paper deals with pattern recognition of the shape of the boundary of closed figures on the basis of a circular sequence of measurements taken on the boundary at equal intervals of a suitably chosen argument with an arbitrary starting point. A distance measure between two boundaries is defined in such a way that it has zero value when the associated sequences of measurements coincide by shifting the starting point of one of the sequences. Such a distance measure, which is invariant to the starting point of the sequence of measurements, is used in identification or discrimination by the shape of the boundary of a closed figure. The mean shape of a given set of closed figures is defined, and tests of significance of differences in mean shape between populations are proposed.
本文基于在闭合图形边界上以适当选择的自变量的等间隔、从任意起始点进行的圆形测量序列，来处理闭合图形边界形状的模式识别。定义了两个边界之间的距离度量，使得当通过移动其中一个序列的起始点使相关的测量序列重合时，该距离度量的值为零。这种对测量序列起始点不变的距离度量，被用于根据闭合图形边界的形状进行识别或区分。定义了给定闭合图形集的平均形状，并提出了总体之间平均形状差异的显著性检验。
