THE TOMATO SALAD PROBLEM RECONSIDERED

被引:6
|
作者
FLEISCHER, K [1 ]
机构
[1] UNIV ERLANGEN NURNBERG,LEHRSTUHL STAT 2,NURNBERG,GERMANY
关键词
TOMATO SALAD PROBLEM; STEREOLOGY; ABEL INTEGRAL EQUATION; ITERATIVE PROCEDURE; RANDOM SEARCH;
D O I
10.1002/bimj.4710360213
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
One problem in microscopy is the estimation of the distribution of sizes of cellular particles (assumed to be spheres) from the distribution of their profiles in a thin tissue sample (tomato salad problem). Because the exact formula of the solution derived by BACH (1959) is difficult to evaluate, SCHUBERT/Voss (1974, 1975) provided an iterative procedure and a random search procedure to approximate the solution. This paper shows that neither of both procedures must be carried out, because there is a simple iterative procedure which gives precise results.
引用
收藏
页码:193 / 203
页数:11
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