This paper is concerned with the development of a computational methodology based on fractal geometry for determining 3D structure of protein with imagery projection operations. In this investigation, the density-map image is a 2D projection of the 3D electron density map according to its depth of the density distribution along the projection direction. We extract fractal features of the densit...

The fractal approach to the study of soil structure, its dynamics, and physical processes appears to be a useful tool in reaching a better understanding of system performance. Nevertheless, the precise concurrent analysis of soil physical properties and fractal parameters seems to be important in order to evaluate the applicability of fractal concepts to soil science. The objective of this stud...

This review first gives an overview on the concept of fractal geometry with definitions and explanations of the most fundamental properties of fractal structures and processes like self-similarity, power law scaling relationship, scale invariance, scaling range and fractal dimensions. Having laid down the grounds of the basics in terminology and mathematical formalism, the authors systematicall...

Previous work has shown that fractal patterns in gait can be altered by entraining to a fractal stimulus. However, little is understood about how long those patterns are retained or which factors may influence stronger entrainment or retention. In experiment one, participants walked on a treadmill for 45 continuous minutes, which was separated into three phases. The first 15 minutes (pre-synchr...

OBJECTIVE The purpose of this study was to determine whether the results of fractal analysis can be used as criteria for midpalatal suture maturation evaluation. METHODS The study included 131 subjects aged over 18 years of age (range 18.1-53.4 years) who underwent cone-beam computed tomography. Skeletonized images of the midpalatal suture were obtained via image processing software and used ...

Abstract We consider time-changed Brownian motions on random Koch (pre-fractal and fractal) domains where the time change is given by inverse to a subordinator. In particular, we study fractional Cauchy problem with Robin condition pre-fractal boundary obtaining asymptotic results for corresponding diffusions Robin, Neumann Dirichlet conditions fractal domain.

Generally the fractal image compression is a technique based on the presentation of an image by a contractive transform, on the space of image, for which the fixed point is close to the original image. The fractal image compression is rapidly growing principle covers a wide variety of coding scheme in various domains. A large number of theoretical aspects of this concept are available. However,...

measurement of soil saturated hydraulic conductivity, ks, is normally affected by flow patterns such as macro pore; however, most current techniques do  not differentiate flow types, causing major problems in describing water and chemical flows within the soil matrix. this study compares eight models for scaling ks and predicted matrix and macro pore ks, using a database composed of 50 datasets...

In this paper, we introduce a new mathematical structure: fractal hypergraph. Due to the hierarchical and compositional nature of fractal hypergraphs, representations based on fractal hypergraphs can capture and abstract the object-oriented nature of SystemC. We propose a formal semantics of SystemC components based on fractal hypergraphs that has already be used in a formal debugger of SystemC...

This article is a report on the 5th international workshop devoted to the Fractal component model that took place the 4th of July 2006 in Nantes, France, as an ECOOP workshop. Prior to that, the article provides some background on the Fractal project and previous Fractal workshops for readers who are not familiar with Fractal.