The Tomato Salad Problem Reconsidered | Zendy

Fleischer Karlheinz | Zendy

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The Tomato Salad Problem Reconsidered

Author(s) -

Fleischer Karlheinz

Publication year - 1994

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.4710360213

Subject(s) - mathematics , simple (philosophy) , distribution (mathematics) , iterative method , spheres , mathematical optimization , sample (material) , algorithm , mathematical analysis , chromatography , chemistry , physics , philosophy , epistemology , astronomy

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.

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