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Modeling Abrasion Processes by Operations of Mathematical Morphology
Author(s) -
Körner Ralf,
Stoyan Dietrich
Publication year - 1999
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/(sici)1521-4117(199906)16:2<66::aid-ppsc66>3.0.co;2-b
Subject(s) - abrasion (mechanical) , morphology (biology) , particle (ecology) , mathematical morphology , simple (philosophy) , mathematical model , materials science , particle size distribution , particle size , biological system , mechanics , mathematics , computer science , composite material , geology , physics , engineering , chemical engineering , artificial intelligence , statistics , image processing , paleontology , philosophy , oceanography , image (mathematics) , epistemology , biology
This paper discusses first the possibility of characterizing particle samples by functions. The empirical distribution function of classical shape ratios turns out to be a very powerful tool for discriminating samples of particles. Then a simple geometrical model is presented for shape and size development in abrasion processes such as in tumbling barrels. The fundamental operations “erosion” and “opening” of mathematical morphology lead to a satisfactory description of abrasion processes. All this is demonstrated for samples of limestone particles.