We study the corrections to scaling for the mass of the watershed, the bridge line, and the optimal path crack in two and three dimensions (2D and 3D). We disclose that these models have numerically equivalent fractal dimensions and leading correction-to-scaling exponents. We conjecture all three models to possess the same fractal dimension, namely, d(f) =1.2168 ± 0.0005 in 2D and d(f) = 2.487 ...

Light Detection and Ranging (LiDAR), a high-precision technique used for acquiring three-dimensional (3D) surface information, is widely used to study surface vegetation information. Moreover, the extraction of a vegetation point set from the LiDAR point cloud is a basic starting-point for vegetation information analysis, and an important part of its further processing. To extract the vegetatio...

BACKGROUND The mucosal changes associated with female genital schistosomiasis (FGS) encompass abnormal blood vessels. These have been described as circular, reticular, branched, convoluted and having uneven calibre. However, these characteristics are subjective descriptions and it has not been explored which of them are specific to FGS. METHODS In colposcopic images of young women from a schi...

Due to geological reasons, fractured reservoirs are extremely heterogeneous. Modelling of these reservoirs has so far been considered complex and progress is still inadequate. This paper presents a novel and hybrid method to model discrete fracture networks in naturally fractured reservoirs. It involves investigation and systematic integration of tasks spanning cross-disciplinary areas: geologi...

The fractal dimensions of FeZSM-5 zeolites were used to characterize the change in their geometry depending on different postsynthesis treatments. The fractal dimension values were estimated from the Dubinin–Astakhov isotherms of nitrogen adsorption and related to the activity of these zeolites in the benzene hydroxylation to phenol by nitrous oxide. The zeolites had two different iron contents...

The metopic suture of 24 adult skulls investigated showed recognisable varied morphological patterns. The metopic suture resembled wavy lines and was sometimes highly convoluted, especially in the superior part of the frontal bone. The mean suture length was computed as 123.1 mm (SD = 5.307) and the mean fractal dimension was 1.17 (SD = 0.076). Visual inspection of the morphological character o...

In this paper a string is a sequence of positive non-increasing real numbers which sums to one. For our purposes a fractal string is a string formed from the lengths of removed sub-intervals created by a recursive decomposition of the unit interval. By using the so called complex dimensions of the string, the poles of an associated zeta function, it is possible to obtain detailed information ab...

series (11) will present the synthesis chemistry of silica sols Silica-based microporous membranes can be successfully proto make unsupported membranes with predictable pore size/ cessed by sol–gel techniques. However tailor making of such memporosity. This article aims to give a detailed account of small branes is still not possible because of the unavailability of systemangle X-ray scattering...

PURPOSE To assess bony trabecular changes potentially caused by loading stress around dental implants using fractal dimension analysis. METHODS Fractal dimensions were measured in 48 subjects by comparing radiographs taken immediately after prosthesis delivery with those taken 1 year after functional loading. Regions of interest were isolated, and fractal analysis was performed using the box-...

This paper presents AOKell, a framework for engineering component-based systems. This framework implements the Fractal model, a hierarchical and dynamic component model. The novelty of this paper lies in the presentation of AOKell, an implementation of the Fractal model with aspects. Two dimensions can be isolated with Fractal: the functional dimension, which is concerned with the definition of...