Shape Analysis for the Anisotropic Corpuscle Problem
该研究推广了Wicksell的尺寸-形状独立性条件，通过椭圆痕迹推断各向异性椭球粒子的形状分布，并利用自助重采样方法分析神经学数据。
SUMMARY The problem of inferring the shape distribution of anisotropically oriented spheroidal particles from their elliptical traces in planar samples is addressed by generalizing a size-shape independence condition suggested by Wicksell in his original discussion of the corpuscle problem. Shape statistics are introduced through which the eccentricities of the sampled ellipses may be related to some suitably defined moments of the underlying particle shape distribution, taking account of particle orientation. Practical methods which employ bootstrap resampling of shape statistics are developed with reference to data from a recent neurological study.