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DETERMINATION OF THE APPARENT FRACTAL DIMENSION OF THE FORCE‐DISPLACEMENT CURVES OF BRITTLE SNACKS BY FOUR DIFFERENT ALGORITHMS 1
Author(s) -
BORGES ANTJE,
PELEG M.
Publication year - 1996
Publication title -
journal of texture studies
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.593
H-Index - 54
eISSN - 1745-4603
pISSN - 0022-4901
DOI - 10.1111/j.1745-4603.1996.tb00073.x
Subject(s) - fractal dimension , displacement (psychology) , plot (graphics) , mathematics , dimension (graph theory) , fractal , mathematical analysis , statistics , combinatorics , psychology , psychotherapist
The apparent fractal dimension of digitized experimental force‐displacement curves of cheese balls and Zwiebacks at various levels of water activity were determined with the Richardson, Minkowski, Kolmogorov and Korcak algorithms. All four, but especially the first three, produced a consistent dimension despite the fact that the curves themselves were not truly fractal. These calculated dimensions were effective jaggedness measures and could be used interchangeably to monitor moisture sorption effects on the shape of force‐displacement relationships. The apparent dimension versus water activity plot had a sigmoid form which was characterized by a shifted Fermi equation. The center point of the jaggedness loss as well as its span was revealed from the magnitude of the equation's constants or directly from the plot.