Accuracy of Fractal Dimentions Calculated from Digital Contour Images

Abstract

This paper describes a characteristic of fractal dimension measurement. The fractal dimensions are calculated from digital images based on a box-counting method. Three kinds of connections with contours are examined : the 4-nearest neighbor connection(4NN), the 8-nearest neghibor connection(8NN), and a dilated type(DT). The 4NN works very well for not only simple shapes of particles but also complicated ones. The other 8NN and DT cause greater magnitude of errors in lower resolutional images.