The Fractal Dimension of a Particle's Projected Shape by the Area-perimeter Method

• Published in: Funtai Kogakkaishi Vol. 34; no. 1; pp. 4 - 9
• Main Authors: KADA, Hiroyuki, SUZUKI, Michitaka, HIROTA, Mitsuaki, YAMADA, Shinsuke, OSHIMA, Toshio
• Format: Journal Article
• Language: English
• Published: The Society of Powder Technology, Japan 1997
• Subjects: Area-perimeter Method; Divider Method; Fractal Dimension; Image Analyzer; Particle Shape Analysis
• ISSN: 0386-6157; 1883-7239
• DOI: 10.4164/sptj.34.4

Rencently, fractal analysis has been applied to the characterization of particle shape, but there are some problems in obtaining a fractal dimension of a particles projected shape when using an image analyzer. This is because an image analyzer usually does not have a software for fractal analysis, and it is not easy to make a computer code for fractal analysis. Thus, the perimeter-area method for the quantitative fractal analysis of particle projected shape was proposed. The method requires only the perimeter and the projected area data of each particle in a sample powder. Using the method, the average fractal dimension of a powder can be obtained by an image analyzer with no add-on software. The relationship between the fractal dimension using the perimeter-area method, and that using the divider method essentially gives a straight line. The result shows that the perimeter-area method can be used instead of the divider method to obtain the fractal dimension of a particle's projected shape.