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This article is an outgrowth of a lecture given at the university of bochum, germany, october 1995, in a colloquium in honor of r. A region growing and merging algorithm to color segmentation. Co n sisten cy of th e g rou p l asso an d mu ltip le k er n. Armand borel is professor emeritus at the school of mathematics, institute for advanced study, princeton, nj. M is called a measurable space and the members of m are called measurable sets. The so called power set p x, that is the collection of all subsets of x, is a. The new codes were implemented in a windows pc environment, using fortran 77. Special meeting of the economic and social council. Pdf operational versus umbral methods and the borel. Borel group vice president, dupont special meeting. In this paper, we assume that the singular locus f of f. A region growing and merging algorithm to color segmentation rather than developing in detail a sophisticated algo rithm based on region dependant properties, we retain for this paper an empirical algorithm that is easier to im plement and gives good results relative to manual ad justment of threshold values see pseudoalgorithm 3 in.
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