of a straight line is unity (Table II), this suggest that the branching multiplicity goes as the radial distance to the 0.7 power. We close by noting that the presently popular parameter fractal dimension tells us little about the true visual richness of form in even the most simplistic of cases. We further illustrate this conclusion by the following example. We assume that a simple curve havin...

Seafloor topographic complexity is ecologically important because it provides habitat structure and alters boundary-layer flow over the bottom. Despite its importance, there is little agreement on how to define and measure surface complexity. The purpose of this investigation was to utilize fractal geometry of vertical cross-section profiles to characterize the surface topography of the soft-bo...

Reliable online monitoring of wear remains a challenge to tribology research as well as to the industry. This paper presents a new method for monitoring of dry sliding wear using digital imaging and fractal analysis. Fractal values, namely fractal dimension and intercept, computed from the power spectrum of the images of a wearing surface, are adopted as indicators of the dynamic wear process. ...

PURPOSE The aim of this study was to assess the fractal dimension (Df) of disks with 3 different surface topographies. MATERIALS AND METHODS Thirty disk-shaped samples (10 × 2 mm) with 3 different surface topographies (Dental Tech, Misinto, Italy) were analyzed by scanning electron microscopy: group A, machined surface; group B, titanium plasma-spray surface; group C, acid-etched and sandblas...

This paper introduces a method for modification of the formula of the fractal box counting dimension. The method is based on the utilization of the probability distribution formula in the fractal box count. The purpose of this method is to use it for the discrimination of oil spill areas from the surrounding features e.g., sea surface and look-alikes in RADARSAT-1 SAR data. The result shows tha...

This work proposes the application of fractal descriptors to the analysis of nanoscale materials under different experimental conditions. We obtain descriptors for images from the sample applying a multiscale transform to the calculation of fractal dimension of a surface map of such image. Particularly, we have used the Bouligand-Minkowski fractal dimension. We applied these descriptors to disc...