The author reviews visual perception studies showing that fractal patterns possess an aesthetic quality based on their visual complexity. Specifically, people display an aesthetic preference for patterns with mid-range fractal dimensions, irrespective of the method used to generate them. The author builds upon these studies by presenting preliminary research indicating that mid-range fractals a...

The paper introduces a new method based on deterministic search to fractal image compression. In order to find a good region-based partitioning, we propose a deterministic search method for finding the blocks to be merged. For each range, a list of best N domains is maintained. When two ranges are to be merged and their common edge disappears, for the new range the best N domains are selected o...

a major concern of farmers is deterioration of the soil and water resources. soil management is the most direct way for mankind to interfere with natural processes that may either intensify or hinder soil degradation. fractal geometry has been widely used to describe heterogeneity in a wide range of natural processes, including physical systems of soil. in this study, the effects of different m...

In the ongoing research, an approximate, grading entropy based, advanced interpolation method is applied to establish empirical functions between curves and model parameters of sands. The space grain size distribution with N fractions isomorphic unit-sided simplex dimension -1. traditional over -1 problematic since number sub-simplexes (and points) may increase exponentially . To overcome this ...

We analyzed published measurements of the bronchial circulation and airway wall (Anderson JC, Bernard SL, Luchtel DL, Babb AL, and Hlastala MP. Respir Physiol Neurobiol 132: 329-339, 2002) and determined that the radial distribution of bronchial capillary cross-sectional area was fractal. We limited our analysis to bronchial capillaries, diameter < or =10 mum, that resided between the epithelia...

We present extensive computer simulations of a modified Eden model on a tetragonal lattice. This model is able to reproduce the crossover from mass fractal to surface fractal structures observed experimentally in the clustering process of partially hydrolysed silica particles. One of the most interesting phenomena in random growth is that systems with only shortrange interactions can form aggre...

Monte Carlo calculations are used to investigate some statistical properties of random walks on fractal structures. Two kinds of lattices are used: the Sierpinski gasket and the infinite percolation cluster, in two dimensions. Among other problems, we study: ( i ) the range RN of the walker (number of distinct visited sites during N steps): average value S, variance and asymptotic distribution;...

The presence of correlated randomness in EEG time series signal buried in random noise was analyzed with the Higuchi fractal algorithm. The signal recognition algorithm design was built on the fact that the theoretical fractal dimension value of 2 is an indicator for a white noise time series and correlated randomness would alter the fractal dimension value from 2. However, the limited number o...

Model-Based Diagnosis (MBD) algorithms often yield a large number of diagnoses, severely limiting their practical utility. A practical way to deal with such diagnostic uncertainty is to use the active testing approach implemented by Fractal (FRamework for ACtive Testing ALgorithms). Fractal computes a sequence of control settings for reducing the number of diagnoses given a system description a...