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Mathematical Description of the Morphological Genesis of Flocs
Author(s) -
Nagel Manfred,
Ay Peter
Publication year - 2001
Publication title -
particle and particle systems characterization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.877
H-Index - 56
eISSN - 1521-4117
pISSN - 0934-0866
DOI - 10.1002/1521-4117(200112)18:5/6<271::aid-ppsc271>3.0.co;2-0
Subject(s) - cluster analysis , context (archaeology) , computer science , transformation (genetics) , smoothing , kernel (algebra) , mathematical morphology , biological system , artificial intelligence , mathematics , chemistry , geology , image processing , biology , computer vision , gene , image (mathematics) , paleontology , biochemistry , combinatorics
The assessment or description of the internal morphology of flocs plays an important role in the optimization of flocculation processes and the development of high‐performance reaction systems. This paper is focused on mathematical algorithms—namely c ‐means clustering, fuzzy clustering, Fourier transformation and kernel smoothing—to reconstruct the internal cluster structure of flocs. In principle, all methods are suitable to interpret the growth history of flocs. However, it is shown that at the moment c ‐means clustering in combination with a data preparation step seems to be the most favorable procedure in that context. A detailed description of the data preparation procedure is not part of this work.