Implicit surface techniques provide useful tools for modeling and rendering smooth surfaces. Deriving implicit formulations for fractal representations extends the scope of implicit surface techniques to rough surfaces. Linear fractals modeled by recurrent iterated function systems may be de ned implicitly using either geometric distance or escape time. Random fractals modeled using Perlin's no...

This paper reviews the multifractal wavelet model (MWM) and its applications to network traf£c modeling and inference. The discovery of the fractal nature of traf£c has made new models and analysis tools for traf£c essential, since classical Poisson and Markov models do not capture important fractal properties like multiscale variability and burstiness that deleteriously affect performance. Set...

A new general model for asset returns is studied in the framework of the Fractal Market Hypothesis (FMH). To accomodate markets with arbitrage opportunities it concerns capital market systems in which the Conditionally Exponential Dependence (CED) property can be attached to each investor on the market. Emploing the limit theorem for the CED systems, the universal characteristics for the distri...

BACKGROUND Little is known about the association between cardiovascular (CV) health and health insurance status. We hypothesized that U.S. adults without health insurance coverage would have a lower likelihood of ideal cardiovascular health. METHODS AND RESULTS Using National Health and Nutrition Examination Survey (NHANES) data from 2007-2010, we examined the relationship between health insu...

In this paper, we describe a technique to model frequent allophones in Japanese speech recognition. The Consonant-Vowel syllabic structure (CV) is dominant in Japanese. Based on frequency, the distribution of CV pairs is rather skewed. Isolating out the most frequent allophones through the use of additional phonemes in acoustic modeling can achieve better recognition accuracy. By introducing te...

Implicit surface techniques provide useful tools for modeling and rendering smooth surfaces. Deriving implicit formulations for fractal representations extends the scope of implicit surface techniques to rough surfaces. Linear fractals modeled by recurrent iterated function systems may be deened implicitly using either geometric distance or escape time. Random fractals modeled using Perlin's no...

Background:Leukemia is cancer of blood and bone marrow cells. In general, there are four types of leukemia: chronic myelogenous leukemia (CML), acute myeloid leukemia (AML), B-cell chronic lymphocytic leukemia (CLL) and acute lymphoblastic leukemia (ALL).  Fractal geometry can be introduced as one of the effective ways to detect this type of cancer. In this study, with introduc...

Fractal analysis of earthquakes, lineages and waterways are considered as one of the practical tools to evaluate tectonic activity. With the help of fractal analysis, structural maturity and tectonic dynamics can be evaluated. In this research, using fractal analysis and box counting method and fild studies, the measured fractal dimensions for the designed network of Alborz province were studie...

Implicit surface techniques provide useful tools for modeling and rendering smooth surfaces. Deriving implicit formulations for fractal representations extends the scope of implicit surface techniques to rough surfaces. Linear fractals modeled by recurrent iterated function systems may be defined implicitly using either geometric distance or escape time. Random fractals modeled using Perlin’s n...

The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal derivatives. The semi-inverse method is used to establish a fractal variational formulation of the problem, which provides conservation laws in an energy form in the fractal space and possible solution structures of t...