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On the Accuracy of Numerical Solutions for Some Stereological Problems such as the Wicksell Corpuscle Problem
Author(s) -
Gerlach W.,
Ohser J.
Publication year - 1986
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710280719
Subject(s) - mathematics , plane (geometry) , stereology , mathematical analysis , distribution (mathematics) , mathematical optimization , geometry , medicine
Two stereological problems—the estimation of sphere diameter distributions and the estimation of sheet thickness distributions from linear or plane sections—are considered. Their numerical solution consists in the solution of linear equation systems. To compare the quality of various methods theoretically, not only by experiments, the condition numbers of the matrices of the corresponding equation systems are determined.