Based on the construction of bivariate fractal interpolation surfaces, we introduce closed spherical fractal interpolation surfaces. The interpolation takes place in spherical coordinates and with the transformation to Cartesian coordinates a closed surface arises. We give conditions for this construction to be valid and state some useful relations about the Hausdorff and the Box counting dimen...

Abstract The fractal or Hausdorff dimension is a measure of roughness (or smoothness) for time series and spatial data. The graph of a smooth, differentiable surface indexed in Rd has topological and fractal dimension d. If the surface is non-differentiable and rough, the fractal dimension takes values between the topological dimension, d, and d + 1. We review and assess estimators of fractal d...

spatial analysis of aeolian landforms by fractal theory (case study: ardestan rig) abstract natural sciences face to a great revolution, nowadays. now, scientists think the world as a collection of complex systems which prediction of consequences of this complex systems is so difficult. in this situation the systems have rotational act so irregularly lead to regular and regularly lead to irregu...

The fractal interpolation theory was used to the research of road surface roughness, and its simulating method was proposed through the piecewise fractal model. The fractal interpolation model was established for the actual road surface roughness, its influential factors and their laws of influencing were also analyzed, and then the model accuracy was confirmed by the fractal parameters and the...

introduction nowadays, many studies were performed about noise source and its type and effects related to duration of sound emission. most of these researches just report sound pressure level in frequency or time domain. these researches should be continued in order to find better absorber material in noise pollution. use of fractal geometry is a new method in this filed. wave fractal dimension...

This paper introduces amodified formula for the fractal box counting dimension. Themethod is based on 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 lookalikes in RADARSAT-1 SAR Wide beam mode (W1) and Standard beam mode (S2) data ...

Carotid atherosclerotic lesions are a major cause of cerebrovascular disease (CVD). Identification and quantification of carotid plaques are important for categorizing the vulnerability of plaques for rupture and assessing the impact of treatments. The irregularity of plaque surface is associated with previous plaque rupture and plays an important role in the risk of stroke. Thus, the aim of th...

A direct determination of the fractal dimensions of a fracture surface is essential for a better understanding of its complete topographic characteristics. In this paper, a laser profilometer is employed to measure the topography of a rock’s fracture surface. With the use of the triangular prism surface area and projective covering methods, the resultant data set enables us to directly determin...

BACKGROUND Fractal geometry estimates have proven useful in studying the growth strategies of fungi in response to different environments on soil or on agar substrates, but their use in mycelia grown submerged is still rare. In the present study, the effects of certain important fermentation parameters, such as the spore inoculum level, phosphate and manganese concentrations in the medium, on m...