Diffusion towards a fractal adsorber is a well-researched problem with many applications. While the steady-state flux towards such adsorbers is known to be characterized by the fractal dimension (D{F}) of the surface, the more general problem of time-dependent adsorption kinetics of fractal surfaces remains poorly understood. In this Letter, we show that the time-dependent flux to fractal adsor...

background & objectives: cancer is a serious problem for human being and is becoming a serious problem day-by-day .a prerequisite for any therapeutic modality is early diagnosis. automated cancer diagnosis by automatic image feature extraction procedures can be used as a feature extraction in the field of fractal dimension. the aim of this survey was to introduce a quantitative and objectiv...

Why does fractal image compression work? What properties must an image have for fractal block coders to work well? What is the implicit image model underlying fractal image compression? The behavior of fractal block coders is clear for deterministically self-similar structures. In this paper we examine the behavior of these coders on statistically self-similar structures. Speci cally, we examin...

Recent analyses of real data/internet tra c indicate that data tra c exhibits long-range dependence as well as self-similar or multi-fractal properties. By using mathematical models of Internet tra c that share these properties we can perform analytical studies of network tra c. This gives us an opportunity to analyse potential bottlenecks and estimate delays in the networks. Processes with mul...

21 A theoretical effective thermal conductivity model is derived based on fractal 22 distribution characteristics of nanoparticle aggregation. Considering two different 23 mechanisms of heat conduction including particle aggregation and convention, the 24 model is expressed as a function of the fractal dimension and concentration. In the 25 model, the change of fractal dimension is related to t...

Tra c using the Fractal-Shot-Noise-Driven Poisson Process Bong K. Ryu and Steven B. Lowen Department of Electrical Engineering and Center for Telecommunications Research Columbia University, New York, NY 10027, U.S.A. fryu, [email protected] Abstract Presented in this paper is the fractal-shot-noisedriven Poisson process (FSNDP), a self-similar process which permits parsimonious modeling...

A novel texture detecting analysis for medical pathological tissue images was developed by fractal Brown model. According to fractal Brown random field model, a discrete fractal random field for image texture detection on a definite scale could be derived from the Brown model. Using fractal dimensions in partial region of the image and gray difference between adjacent pixels and relevant Hurst ...