| Contact Analysis of Nominally Flat Surfaces |
01-Jun-2008 |
69 pages |
| Authors:
Matthew R Shellock; NAVAL POSTGRADUATE SCHOOL MONTEREY CA
|
 | A proper understanding of the mechanism of contact between two or more nominally flat surfaces is crucial in the design process of many devices. This thesis, using analytical and computational methods, models the former through the use of fractal characteristics at the contact interface. A parametric analysis of the fractal surface was completed in order to properly understand fractal geometry and its effect on surface properties. The fractal surface was ... |
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| Quantitative Biofractal Feedback Part II 'Devices, Scalability & Robust Control' |
May-2008 |
27 pages |
| Authors:
Robert L Ewing; AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH INFORMATION DIRECTORATE
|
| Development of a new revolutionary quantitative biofractal control methodology for the creation and efficient use of new organic bio-inspired devices using quantitative feedback theory (QFT) will be the focus of this lecture. The non-integer methodology will be addressed in the form of a quantitative biofractal controller architecture, which incorporates ontogentic and epigenetic scalable mechanisms for interconnectivity parameter weightings, morphability and dimensional scalability in the development of nonlinear sensor models and ... |
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| Quantitative Biofractual Feedback Parts 1-3 |
May-2008 |
76 pages |
| Authors:
Daniel W Repperger; AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH
|
| Many complex networks and systems from nature can be characterized as distributed systems. It is shown in this talk that the analysis of network performance can be related to the intersection of five areas: optimization theory, graph theory, information theory, fractional calculus, and bio-inspired design (fractals). |
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| Quantitative Biofractual Feedback Part I-'Overview - Biofractals' |
May-2008 |
4 pages |
| Authors:
Daniel W Repperger; AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH
|
| Many complex networks and systems from nature can be characterized as distributed systems. It is shown in this talk that the analysis of network performance can be related to the intersection of five areas: optimization theory, graph theory, information theory, fractional calculus, and bioinspired design (fractals). |
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| Multiscale Traffic Processing Techniques for Network Inference and Control |
JAN 2006 |
35 pages |
| Authors:
RICE UNIV HOUSTON TX
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| Verification and Validation of the Fractal Attrition Equation |
JAN 2006 |
|
| Authors:
Nigel Perry; DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION EDINBURGH (AUSTRALIA) DEFENCE SYSTEMS ANALYSIS DIV
|
 | Under the auspices of The Technical Cooperation Program (TTCP) Joint Systems & Analysis (JSA) Technical Panel 3 (Joint Concepts and Analysis) research program, researchers in New Zealand and the United Kingdom have been collaborating on the development of a new combat attrition equation. This report examines this new approach, its relationships to existing systems of Lanchester equations and its prospects for further development. |
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| Fractal-Enhancement of Photon Band-Gap Cavities for Quantum Computing and Other Applications |
31 AUG 2005 |
11 pages |
| Authors:
Philip Hemmer; Robert Armstrong; TEXAS A AND M UNIV COLLEGE STATION
|
| The purpose of this project is to develop optical structures that can be used to perform scaleable quantum logic for Type II quantum computers, using cavity QED. The basis for this concept is the recent demonstration that metallic fractal patterns, when deposited on the surface of a whispering gallery optical resonator, can have giant Q-values. This is because the Q of surface plasmon resonances in the metallic fractal patterns multiplies ... |
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| From Cascades to Multifractal Processes |
07 JAN 2005 |
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| Authors:
Rolf Riedi; RICE UNIV HOUSTON TX DEPT OF STATISTICS
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| Outline: Multifractal Analysis; Large Deviations and the Multifractal Formalism; Binomial Spectrum; Random Cascades, A further multifractal envelop- Convergence and Degeneracy; Multifractals and classical regularity; Multifractal Product of Pulses; Interlude- Self-similar processes; Multifractal Subordination, Processes with multifractal oscillations; From Multiplicative Cascades to Infinitely Divisible Cascades. |
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| On Fractals, Fractional Splines and Wavelets |
07 JAN 2005 |
49 pages |
| Authors:
Michael Unser; ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE (SWITZERLAND)
|
| Outline: Fractals in physiology; Wavelets and fractals; Motivation for using wavelets; Fractal processing: order is the key; What about fractional differentiation; Fractional splines; Fractional wavelets; Wavelets in medical imaging; Survey of applications Analysis of functional images. |
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| Image Processing with Wavelets and Multifractal Analysis |
07 JAN 2005 |
73 pages |
| Authors:
Franklin Mendivil; ACADIA UNIV WOLFVILLE (NOVA SCOTIA)
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| Overview: Wavelet based methods: Wavelets for image representation and JPEG 2000; Non-separable wavelets; Wavelet Denoising. IFS based methods: IFS fractal basics IFS on images; IFS image compression basics and variations; Fractal denoising; Mixing IFS and wavelets; IFS in Content Based Image Retrieval. Multifractal based methods: Basic introduction; Edge detection; Denoising. |
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| Scaling and Multiscaling in Financial Time Series |
07 JAN 2005 |
45 pages |
| Authors:
Jean-Francois Muzy; Emmanuel Bacry; Alexey Kozhemyak; Alain Arneodo; Jean Delour; Didier Sornette; UNIVERSITE DE CORSE CORTE FRANCE
|
| 1/ A brief overview of financial markets * Basic definitions and problems related to finance * Scaling in finance 2/ Empirical properties of financial time series * Main "stylized facts" * Scaling properties 3/ Empirical models: From Bachelier to Mandelbrot * Fat tails: Truncated Levy models * Heteroskedaticity: Classical econometric models. * Multifractal Models 4/ The MRW model * Definition and scaling properties * Estimation issues 5/ Applications * Risk ... |
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| Multifractal Stationary Random Processes |
07 JAN 2005 |
35 pages |
| Authors:
Emmanuel Bacry; ECOLE POLYTECHNIQUE PALAISEAU (FRANCE)
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| CONTENTS: * Random cascades (Mandelbrot) * Intuitive construction * Theoretical construction * Some particular examples |
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| A Wavelet-Based Generalization of the Multifractal Formalism from Scalar to Vector Valued D-Dimensional Random Fields: From Theoretical Concepts to Experimental Applications |
07 JAN 2005 |
42 pages |
| Authors:
P. Kestener; A. Arneodo; ECOLE NORMALE SUPERIEURE LYON (FRANCE)
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| ASSESSMENT: WTMM multifractal analysis moving towards vector fields; OUTLOOK: Better understanding of the information embedded in the WT tensor; Identification of coherent structures in turbulence using WT tensor's smallest singular value: vorticity filaments or sheets; Other applications include astrophysics (interstellar medium, interstellar turbulence), MHD, geophysics, etc. |
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| Multifractals and Wavelets in Turbulence |
07 JAN 2005 |
30 pages |
| Authors:
Luca Biferale; UNIVERSITA DI ROMA TOR VERGATA ROMA (ITALY)
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| CONTENTS: * Eulerian Turbulence * Inertial Range Physics * Dissipative Physics Synthesis and Analysis of Signals * Lagrangian Turbulence * Large Deviations Theory * Random Multiplicative Processes * Dyadic Multi-Affine Fields * Wavelets * Sequential Multi-Affine Fields * Multiplicative Time- Dependent Random Processes * Deterministic Dynamical Models of Navier-Stokes Equations. |
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| Wavelets, Fractals, and Radial Basis Functions |
07 JAN 2005 |
12 pages |
| Authors:
Thierry Blu; Michael Unser; SWISS FEDERAL INST OF TECHNOLOGY LAUSANNE (SWITZERLAND)
|
| Wavelets and radial basis functions (RBFs) lead to two distinct ways of representing signals in terms of shifted basis functions. RBFs, unlike wavelets, are nonlocal and do not involve any scaling, which makes them applicable to nonuniform grids. Despite these fundamental differences, we show that the two types of representation are closely linked together through fractals. First, we identify and characterize the whole class of self-similar radial basis functions that ... |
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| Duplicate Publication and 'Paper Inflation' in the Fractals Literature |
2005 |
32 pages |
| Authors:
Ronald N. Kostoff; Dustin Johnson; J. A. Del Rio; Louis A. Bloomfield; Michael F. Shlesinger; Guido Malpohl; OFFICE OF NAVAL RESEARCH ARLINGTON VA
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| The similarity of documents in a large database of published Fractals articles was examined for redundancy. Three different text matching techniques were used on published Abstracts to identify redundancy candidates, and predictions were verified by reading full text versions of the redundancy candidate articles. A small fraction of the total articles in the database was judged to be redundant. This was viewed as a lower limit, because it excluded cases ... |
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| Fractal Approaches to Combat Modelling |
01 OCT 2003 |
19 pages |
| Authors:
Michael Lauren; NEW ZEALAND DEFENCE FORCE WELLINGTON (NEW ZEALAND) DEFENCE TECHNOLOGY AGENCY
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| Hypothesis: * Assume combat is a self-organising system * Further assume combat data can be characterised in terms of fractal dimensions * Then, fractal dimension of combat data can be related the attrition function |
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| Multifractal Internet Traffic Model and Active Queue Management |
2003 |
189 pages |
| Authors:
Jia-Shiang Jou; MARYLAND UNIV COLLEGE PARK INST FOR SYSTEMS RESEARCH
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| We propose a multilevel (hierarchical) ON/OFF model to simultaneously capture the mono/multifractal behavior of Internet traffic. Parameter estimation methods are developed and applied to estimate the model parameters from real traces. Wavelet analysis and simulation results show that the synthetic traffic (using this new model with estimated parameters) and real traffic share the same statistical properties and queuing behaviors. Based on this model and its statistical properties, as described by ... |
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| A Multilevel ON/OFF Model for Multifractal Internet Traffic |
2002 |
11 pages |
| Authors:
Jia-Shiang Jou; John S. Baras; MARYLAND UNIV BALTIMORE DEPT OF COMPUTER SCIENCE AND ELECTRICAL ENGINEERING
|
| In this paper, an open-loop multilevel ON/OFF model is proposed to capture the multifractal behavior of the HTTP traffic on the Internet. It is assumed that the life time of a TCP session and the active time of a burst within a TCP session have a heavy-tail type distribution. The aggregate traffic of this model is shown to be multifractal. We analyze its second and higher order statistics by the ... |
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| Terrain Generation Using Fractal Methods |
NOV 2001 |
20 pages |
| Authors:
Andrew M. Neiderer; ARMY RESEARCH LAB ABERDEEN PROVING GROUND MD ADVANCED COMPUTATIONAL AND INFORMATION SCIENCES DIRECTORATE
|
| Euclidean geometry is not practical for describing complex natural shapes. A real-time solution using a fractal geometry approach is presented. First, existing digital terrain elevation data (DTED) is analyzed, and then it is interpolated to generate a terrain surface of arbitrarily high spatial resolution. Although fractal geometry provides only an estimate, statistical properties are preserved. |
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| Respiratory Onset Detection Using Variance Fractal Dimension |
25 OCT 2001 |
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| Authors:
Yee L. Yap; Zahra Moussavi; MANITOBA UNIV WINNIPEG DEPT OF ELECTRICAL ENGINEERING
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| Recently a non-invasive acoustical method has been developed to detect respiratory phases without airflow measurement, in which the average power of tracheal breath sounds is used to detect the onset of breaths 1. We improved the accuracy of the breath onsets detection by applying variance fractal dimension D sigma. For the sake of a comparison, the same set of data as in 1 was used. Data included tracheal breath sound ... |
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| Fractal Analysis of Ultrasound Images of Carotid Atherosclerotic Plaque |
25 OCT 2001 |
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| Authors:
P. Asvestas; S. Golemati; G. K. Matsopoulos; K. S. Nikita; NATIONAL TECHNICAL UNIV ATHENS (GREECE) DEPT OF ELECTRICAL AND COMPUTER ENGINEERING
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| In this paper, we investigate the possibility of using the fractal dimension to characterize carotid atheromatous plaques from B-mode ultrasound images. The images were obtained from ten symptomatic and nine symptomatic subjects, Symptomatic subjects included patients with previous history, of cerebral events, whereas asymptomatic ones had no evidence of any cerebral symptoms prior to the time of the investigation, For each subject, a sequence of images was collected corresponding to ... |
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| Feature Extraction From DNA Sequences by Multifractal Analysis |
25 OCT 2001 |
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| Authors:
H. Zhang; W. Kinsner; MANITOBA UNIV WINNIPEG DEPT OF ELECTRICAL ENGINEERING
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| This paper presents feature extraction and estimation of multifractal measures of DNA sequences using a multifractal methodology and demonstrates a new scheme for identifying biological functionality, using information contained within the DNA sequences. It shows that the Renyi and Mandelbrot fractal dimension spectra may be useful techniques for extracting the information contained in the DNA sequences. |
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| A Spectral Behavior of Fractal Aggregates in the Quasi-Static Approximation |
29 SEP 2000 |
4 pages |
| Authors:
V. N. Pustovit; G. A. Niklasson; UPPSALA UNIV (SWEDEN) DEPT OF SOLID STATE PHYSICS
|
| In this paper we present a method to calculate optical properties of small fractal clusters of spheres constructed in a recursive manner in the quasi static approximation. To calculate optical properties of octahedral generator of six spheres we used the dipole-dipole approximation developed in Shalaev theory. After S iterations we received a fractal cluster of N particles with determined optical properties. |
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| Paradigms of Complexity. Fractals and Structures in the Sciences |
2000 |
300 pages |
| Authors:
Miroslav M. Novak; WORLD SCIENTIFIC PUBLISHING CO PTE LTD RIVER EDGE NJ
|
| This document contains all accepted papers to Fractal 2000, the 6th International Multidisciplinary Conference, held 16-19 April 2000 in Singapore. One of the aims of the conference was to review the current status in the field of fractals within realm of complexity and to explore future directions. There is a plenitude of examples in nature displaying complex patterns. The couplings responsible for these intricate patterns give rise to processes and ... |
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| On the Existence of Spatially Uniform Scaling Laws in the Climate System |
2000 |
4 pages |
| Authors:
A. A. Tsonis; P. J. Roebber; J. B. Elsner; WISCONSIN UNIV-MILWAUKEE DEPT OF MATHEMATICAL SCIENCES
|
| Scale invariance (scaling) in a time series of an observable quantity is a symmetry law which when it exists can provide unique insights about the process in question. It describes variability and transitions at all scales and is often a result of nonlinear dynamics. It is well known that the spectra of atmospheric and climatic variables possess considerable power at low frequencies. Since "red" spectra often associate with scaling processes, ... |
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| Small-Angle Multiple Scattering on a Fractal System of Point Scatterers |
2000 |
9 pages |
| Authors:
V. V. Uchaikin; ULYANOVSK STATE UNIV RUSSIA INST FOR THEORETICAL PHYSICS
|
| Multiple scattering of classical particles on a system of point scatterers distributed in space in a fractal fashion is considered in the small-angle approximation. The asymptotic regime of this process is described by a fractional differential equation generalizing the ordinary diffusion in the angle space equation. The solution of the problem is presented both in terms of stable distributions and in terms of Fox-functions. Main features of the obtained solutions ... |
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| Symmetric Fractals Generated by Cellular Automata |
2000 |
14 pages |
| Authors:
A. Barbe; F. Von Haeseler; KATHOLICKE UNIV LEUVEN (BELGIUM) DEPT OF ELECTRICAL ENGINEERING
|
| We demonstrate how to construct fractals which are generated by a combination of a cellular automaton and a substitution. Moreover, if the substitution and the cellular automaton exhibit certain symmetry features, the fractal will inherit these symmetries. |
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| Coarsening of Fractal Interfaces |
2000 |
11 pages |
| Authors:
P. Streitenberger; OTTO VON GUERICKE UNIV MAGDEBURG (GERMANY) INST FOR EXPERIMENTIAL PHYSICS
|
| The process of coarsening by curvature driven interface motion of fractal interfaces in two-dimensional space is studied by analytical and numerical methods. A statistical model is presented, which allows an analytical treatment of the main features of coarsening of a fractal interface. For non-conserved motion the interface is described by a statistical distribution function of size scales, which obeys a continuity equation in size space. The solution of the continuity ... |
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| Stochastic Subsurface Flow and Transport in Fractal Conductivity Fields |
2000 |
11 pages |
| Authors:
Alberto S. Ndumu; Paul S. Addison; NAPIER UNIV EDINBURGH (SCOTLAND) CIVILENGINEERING GROUP SCHOOL OF BUILT ENVIRONMENT
|
| Monte Carlo simulations of subsurface flow and contaminant transport of a non-reactive solute plume by steady-state flow with a uniform velocity were performed in a two-dimensional synthetic heterogeneous porous media whose hydraulic conductivity is non-stationary and described by multiscale fractional Brownian motion. Analysis of the flow and transport results indicates that the longitudinal velocity variance is nearly constant in the longitudinal direction while in the transverse direction it assumes a ... |
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| On the Multifractal Properties of Passively Convected Scalar Fields |
2000 |
9 pages |
| Authors:
J. Kalda; TALLINN TECHNICAL UNIV (ESTONIA) INST OF CYBERENTICS
|
| Multifractal spectra are derived for 1- and 2-dimensional cross-sections of passively convected scalar fields; 2- and 3-dimensional single-scale velocity fields in the absence of KAM surfaces are considered. Both the Kraichnan model and real flows with non-zero correlation time are studied. The calculation of f(alpha)-curves is based on the probability density function of the stretching factors of fluid elements. It is shown that strict multifractality holds only for small values ... |
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| Laplacian Growth of Parallel Needles: Their Mullins-Sekerka Instability |
2000 |
13 pages |
| Authors:
J. F. Gouyet; M. O. Bernard; ECOLE POLYTECHNIQUE PALAISEAU (FRANCE) LAB DE PHYSIQUE DE LA MATIERE CONDENSEE
|
| We study analytically the kinetics of growth of parallel needles using a conformal transformation to set up the iterative nonlinear equations. This allows to build the discrete Fokker-Planck equation for the probability of finding at time t a given distribution of needle lengths. We consider here two specific cases: we find the exact Fokker-Planck equation for pairs of needles and its solutions and the linear behavior of a set of ... |
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| The Fractal Nature of Wood Revealed by Drying |
2000 |
2 pages |
| Authors:
Benhua Fei; CHINESE ACADEMY OF FORESTRY BEIJING (CHINA) RESEARCH INST OF WOOD INDUSTRY
|
| Introducing the fractal theory into the study of wood and its porous properties will provide new insights. The fractal dimension of wood surface was first studied by using water-sorption. It was found that the fractal dimension was in the range of 2.5-2.8. An experiment with pressurized water absorption has confirmed the fractal nature of wood. The findings have shown that the pore space within wood could be characterized by fractal ... |
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| Squaring the Circle: Diffuison Volume and Acoustic Behaviour of a Fractal Structure |
2000 |
2 pages |
| Authors:
Philippe Woloszyn; CERMA LAB ECOLE D'ARCHITECTURE DE NANTES FRANCE
|
| The main topic presented in this paper concerns the reduction of the diffusion volume to convex isotropic Euclidean structures as polygons and convex polyhedrons in order to estimate the diffusive acoustic behavior of a fractal structure. |
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| Relationship Between Acupuncture Holographic Units and Fetus Development; Fractal Features of Two Acupuncture Holographic Unit Systems |
2000 |
2 pages |
| Authors:
Y. Huang; SHANGHAI DELPHI AUTOMOTIVE AIR CONDITIONING SYS CO LTD (CHINA) BUREAU OF ASTRONAUTICS
|
| Chinese acupuncture-moxibustion is a therapeutic method for injecting or burning moxa (a kind of herb) on the acupuncture points (acupoints) of the body surface, used to treat diseases. There are over one thousand acupoints on the body surface. In the clinic, the acupoint system on the human body can be divided into two large parts: the channel system (macro-acupuncture) and the micro-acupuncture system. But the whole acupoint system can be ... |
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| The Fractal Properties of the Large-Scale Magnetic Fields on the Sun |
2000 |
2 pages |
| Authors:
I. I. Salakhutdinova; INSTITUTE OF SOLAR TERRESTRIAL PHYSICSIRKUTSK (RUSSIA)
|
| It is a common knowledge that both the solar plasma and the solar magnetic field have a cellular, discrete structure, which is indicative of their possible fractal origin. The questions of fine structuring of the solar magnetoplasma were considered, plausible mechanisms of its genesis were suggested, and possibilities of describing its fractal properties were put forward. The existence of a whole hierarchy of sizes of active features in the solar ... |
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| Revealing the Multifractal Nature of Failure Sequence |
2000 |
2 pages |
| Authors:
R. I. Zainetdinov; MOSCOW STATE UNIV OF RAILROAD COMMUNICATION (RUSSIA)
|
| The purpose of the paper is to introduce a new application of the multifractals in the reliability engineering, risk analysis, historical chronology and others fields where we deal with series of events of various natures. The spectrum of such series is quite broad In particular, we do not know whether some temporal pattern is hidden in an apparently disordered set of events. The multifractal theory is a good basis for ... |
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| A Semi-Continuous Box Counting Method for Fractal Dimension Measurement of Short Single Dimensions Temporal Signals - Preliminary Study |
2000 |
11 pages |
| Authors:
V. Pean; M. Ouayoun; C. H. Chouard; B. Meyer; CENTRE HOSPITALO UNIVERSITAIRE SAINT ANTOINE PARIS (FRANCE) EAR NOSE AND THROAT RESEARCH LAB
|
| Box counting method allows to measure the eventual fractal dimension (D) of a single dimension temporal signal. However its accuracy varies as a function of the frequency sampling (Fs) and the duration of the tested signal (Sd). Consequently, as it is impossible to highly increase Fs, this method is not suitable for short physical signals D measurement. Thus, we designed a semi-continuous box counting method (SCBC) allowing a better approach ... |
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| A Fractional Brownian Motion Model of Cracking |
2000 |
7 pages |
| Authors:
P. S. Addison; L. T. Dougan; A. S. Ndumu; W. M. C. Mackenzie; NAPIER UNIV EDINBURGH (SCOTLAND) CIVILENGINEERING GROUP SCHOOL OF BUILT ENVIRONMENT
|
| An attempt is made to find the fractal cutoff of crack profiles on the tension face of concrete beams subjected to uni-axial bending. Previous work by the authors has shown that such cracking can be interpreted as a non-Fickian diffusive phenomenon resulting from a self-affine random fractal process: specifically fractional Brownian motion (fBm). In addition, a spatial description of the cracking geometry can be found from experimental data using both ... |
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| Rendering Through Iterated Function Systems |
2000 |
11 pages |
| Authors:
Huw Jones; Magnus Moar; MIDDLESEX UNIV (UNITED KINGDOM) CENTREFOR ELECTRONIC ARTS
|
| Iterated Function Systems (IFS) have been widely used for image compression and for generating fractal objects. Using barycentric coordinates and an extension of the concept, a range of rendering methods, such as Lambert, Gouraud and Phong shading, can he generated using IFS. By rendering a scattered collection of individual points using z-buffer and shadow buffer, the problems of clipping, hidden surface elimination and shadow generation are reduced to very simple ... |
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| Fractal Properties in Economics |
2000 |
15 pages |
| Authors:
Hideki Takayasu; Misako Takayasu; Mitsuhiro P. Okazaki; Kouhei Marumo; Tokiko Shimizu; SONY COMPUTER SCIENCES LAB INC TOKYO (JAPAN)
|
| Scaling properties in financial fluctuations are reviewed from the standpoint of statistical physics. We firstly show theoretically that the balance of demand and supply enhances fluctuations due to the underlying phase transition mechanism. By analyzing tick data of yen-dollar exchange rates we confirm two fractal properties: 1. the distribution of rate change in a fixed ticks is approximated by a symmetric stretched exponential function for a wide range of time ... |
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| A Fractal Model of Ocean Surface Superdiffusion |
2000 |
8 pages |
| Authors:
P. S. Addison; B. Qu; G. Pender; NAPIER UNIV EDINBURGH (SCOTLAND) CIVILENGINEERING GROUP SCHOOL OF BUILT ENVIRONMENT
|
| The transport of surface pollutants in the coastal zone is modelled using a modified particle tracking diffusion model. The new model uses fractional Brownian motion (fBm) functions to produce superdiffusive spreading of the synthesized pollutant clouds. The model is tested on a numerical model of a coastal bay recirculation zone. |
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| Fractal and Topological Complexity of Radioactive Contamination |
2000 |
10 pages |
| Authors:
N. G. Makarenko; L. M. Karimova; A. G. Terekhov; M. M. Novak; INSTITUTE OF MATHEMATICS ALMATY (KAZAKHSTAN)
|
| There is verified the hypothesis about multifractal nature of radioactive contamination due to nuclear explosions on Semipalatinsk test site (STS) in Kazakhstan. The fields of terrestrial contamination have extreme high variability caused by a number of nature processes. There are used the methods of multifractal formalism and computation topology. The results of analysis support the existence of multifractal scaling which is different for natural and man-made isotopes. It means that ... |
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| Fractal Analysis of Tide Gauge Data |
2000 |
2 pages |
| Authors:
N. K. Indira; CENTRE FOR MATHEMATICAL MODELING AND COMPUTER SIMULATION BANGALORE (INDIA)
|
| Weather and climate systems have low dimensional attractors. A consistent feature of weather and climate data is that they are aperiodic and their deviations from periodicity cannot be explained by conventional linear models of time series analysis. It is therefore essential that the nature of the sea level change is analyzed and modelled in order to assess the changes from one coastline to other or from the changes taking place ... |
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| Self-Affine Scaling Studies of Fractography |
2000 |
9 pages |
| Authors:
J. M. Li; L. Lu; M. O. Lai; NATIONAL UNIV OF SINGAPORE DEPT OF MECHANICAL AND PRODUCTION ENGINEERING
|
| Applying variation-correlation method to images of fractography obtained from the scanning electron microscope (SEM), it has been found that there exists a fractal characteristic length within which the fractured surfaces are fractal. Investigation shows that the fractal characteristic length can represent the statistical maximum size of texture of the SEM image. Multi-magnification fractal analysis has shown that fractography cannot be described by a single fractal dimension but rather a series ... |
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| The sigma-Hull - The Hull Where Fractals Live Calculating a Hull Bounded by Log Spirals to Solve the Inverse IFS-Problem by the Detected Orbits |
2000 |
13 pages |
| Authors:
Erwin Hocevar; TECHNICAL UNIV OF VIENNA (AUSTRIA) INSTOF AUTOMATION
|
| Global IFS seem to be suited best for compressed encoding of natural objects which are in most cases self affine even if not always exactly. Since affine transformations, the IFS-Codes, resp. the union of all their orbits generate an object (an IFS-Attractor), the detection of a non minimal set of these orbits solves the inverse IFS-Problem by calculating a superset of IFS-Codes, which has to be minimized. Here a method ... |
|
| New Statistical Textural Transforms for Non-Stationary Signals; Application to Generalized Multifractal Analysis |
2000 |
12 pages |
| Authors:
Antoine Saucier; Jiri Muller; CENTRE DE RECHERCHE EN CALCUL APPLIQUE MONTREAL (QUEBEC)
|
| We introduce a method to generate statistical textural transforms that improves the treatment of non-stationarity and leads to a sharper detection of the boundaries between distinct textures (texture segmentation). This method is based on a sliding window processing with fixed size. The basic idea proposed by the authors is to readjust the measuring window around each pixel so as to maximize homogeneity. We use this method with the dimensions D ... |
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| Altered Fractal and Irregular Heart Rate Behavior in Sick Fetuses |
2000 |
8 pages |
| Authors:
Myung Kul Yum; Jung Hye Hwang; Moon Il Park; HANYANG UNIV KURI HOSPITAL SEOUL (KOREA) DEPT OF PEDIATRIC CARDIOLOGY
|
| The purpose of this study was to show that abnormal fractal correlation and irregularity of heart rate behavior were altered in intrauterine growth restricted fetuses (IUGR group) and fetuses whose mothers had maternal pregnancy induced hypertension (PIH group). We analyzed fetal heart rate data of 5000 points in normal (n=98), IUGR (n=45), and PIH (n=46) fetuses, with their gestational ages > 38 weeks and without any perinatal complication. We calculate ... |
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| Fractal Approach to the Regional Seismic Event Discrimination Problem |
2000 |
10 pages |
| Authors:
D. N. Belyashov; I. V. Emelyanova; N. G. Makarenko; L. M. Karimova; M. M. Novak; INSTITUTE FOR GEOPHYSICAL RESEARCH ALMATY (KAZAKHSTAN)
|
| In the framework of the Comprehensive Test Ban Treaty, development of reliable methods to discriminate between underground nuclear explosions and earthquakes at regional distances (less than 2500km) continues to be very important especially in connection with the last (in May, 1998) nuclear explosions conducted at Indian and Pakistan test sites. Since the lithosphere is a fractal, we suppose the signals, which propagate through the media, inherit its self similar' (scaling) ... |
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| Multispectral Backscattering: A Fractal-Structure Probe |
2000 |
11 pages |
| Authors:
Robert Botet; Pascal Rannou; LABORATOIRE DE PHYSIQUE DES SOLIDES ORSAY (FRANCE)
|
| We present numerical results for backscattering of electromagnetic waves by fractal aggregates of fractal dimension < 2. Single-scattering analytical result shows that Fourier transform of the density-density mass correlation function of the scatterer is the main contribution of the backscattering cross-section wavelength variation when wavelength is in the fractal range of the scattering object. This allows to conjecture that multispectral backscattering analysis could be used to measure the geometrical fractal ... |
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