Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 98 for “"Fractal Dimension"”.
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Computability and Fractal Dimension
… computability theory and various notions of fractal dimension, mainly Hausdorff dimension. An algorithmic approach to Hausdorff measures makes it possible to define the Hausdorff dimension of individual points instead of sets in a metric space. This idea was first realized by Lutz (2000). …
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Exploration of the fractal dimension
… and experimental determination of the fractal dimension of different sets. It contains both pure and applied topics. After establishing the ground rules, we look at ways to calculate the fractal dimension of fractal interpolation functions and we end the study with an experiment …
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Use of the fractal dimension in characterization of terrestrial surfaces
… The parameters employ the concept of a "fractal dimension" as described by Benoit Mandelbrot and utilized by many others in various cartographic applications. Relationships involving the resolved surface area and volume of digital elevation models were utilized in evaluating the fractal …
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The use of fractal dimension for texture-based enhancement of aeromagnetic data.
This thesis investigates the potential of fractal dimension (FD) as a tool for enhancing airborne magnetic data. More specifically, this thesis investigates the potential of FD-based texture transform images as tools for aiding in the interpretation of airborne magnetic data. A series of different …
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Using fractal dimension analysis to improve clinical balance and mobility assessments for discriminating fallers from non-fallers : a cross-sectional analysis
… analysis techniques such as the fractaI dimension (FD) arc less well accepted. Therefore, statistical models to discriminate fallers and non-fallers utilising both traditional and non-traditional melhods should be investigated. The overall objectivc of this doctoral investigation, …
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ESSAYS ON OPTIMIZATION AND SUPPLY CHAIN STRATEGIES FOR SUSTAINABLE SYSTEMS: INSIGHTS FROM FRACTAL DIMENSION IMAGE ANALYSIS, PHOTOVOLTAIC MANUFACTURING RESILIENCE, AND FRESH PRODUCE INFRASTRUCTURE
… framework that eliminates quantization error in fractal-dimension (FD) measurement from optical images, improving the fidelity of micro- to mesoscale structure quantification; (ii) a prospective life-cycle and systems analysis of reshoring crystalline-silicon photovoltaic (PV) manufacturing to …
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Fractal analysis of topography and structure across the Appalachian foreland of West Virginia
Fractal analysis was conducted on topographic relief and seismic reflection travel time data in the state of West Virginia to determine the potential influence of subsurface structure on surface topography. Seismic travel-times digitized from two east-west seismic profiles and topographic relief …
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Precipitation, Aggregation, and Settling of Asphaltenes from n-Alkane Diluted Bitumens
… in air and nitrogen. The size distribution, fractal dimension, and settling rates of the aggregates were also measured. Asphaltene aggregates were found to be fused fractal structures that are insensitive to shear once formed. A semi-empirical correlation for their fractal dimension was …
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Coagulation between fractal aggregates and small particles and fractal properties of marine particles
… purposes. In Part A, coagulation rates between fractal aggregates (200-1000 μm) and small (1.48 μm) particles were studied for collisions induced by differential sedimentation and turbulent fluid shear. The collision frequency functions (beta) between these aggregates and small particles were …
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Investigation of the fracture phenomena during the milling process of inorganic particulates and brittle fracture of polymer composites using fractal theory
… the applicability and usefulness of applying Fractal mathematics and to the fracture of brittle particulates in Fluid Energy Mill devices, and in particular quantifying the resulting power law particle size distributions, examining the Surface Fractal Dimension of milled particulates, and …
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Quantification of regional perfusion, shunt fraction and ventilation using positron emission tomography : a nonlinear tracer kinetics model
… chapter, a new methodology to estimate the fractal dimension of two dimensional images is described. The method was applied to PET images of perfusion obtained from normal dogs. A relationship between the fractal dimension and Power Spectral Density was studied, leading to new insights for …
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Lithograph regulation of cellular mechanical properties c by Tsu-Te Judith Su.
… determine the cytoskeletal stiffness and three-dimensional (3D) cytoskeletal structure of NIH 3T3 fibroblast cells plated on micropatterned substrates. Microcontact printing of self-assembled monolayers (SAMs) of alkanethiolates on gold was used to create a planar substrate of islands surrounded …
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Multifractal analysis of memory usage patterns
The discovery of fractal phenomenon in computer-related areas such as network traffic flow leads to the hypothesis that many computer resources display fractal characteristics. The goal of this study is to apply fractal analysis to computer memory usage patterns. We devise methods for calculating …
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A Genetic Bayesian Approach for Texture-Aided Urban Land-Use/Land-Cover Classification
… demonstrated exciting improvements of using fractal dimension, lacunarity, and Moran’s <i>I</i> in classification but the integration of these spatial metrics has seldom been investigated. Also, previous research focuses more on developing new classifiers than improving the robust, simple, …
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Spin lattice relaxation studies on iron proteins
The fractal model relating protein structure and vibrational dynamics is reviewed and refined. The temperature dependence of electron spin-lattice relaxation stimulated by Raman phonon scattering is measured in low spin ferric proteins. The data are analysed to yield the spectral dimension, a …
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Visualizing muscular fatigue during running exercises with electromyography-derived variables.
… 2nd order Dimitrov spectral index, and fractal dimension. A validation trial with calf raises proved the reliability of these parameters. Results of the running trials showed that both gastrocnemius muscles had their mean frequency and fractal dimension increase, while the root mean …
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Dimension Theory
We explore the concept of dimension using mathematical tools. We start by providing definitions, examples, and basic properties for two types of topological dimension: small inductive dimension and large inductive dimension. We then repeat this process to investigate a type of fractal dimension …
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Renormalization analysis of continuum models on fractal domains
… begun extension of continuum thermomechanics to fractal media which are specified by a fractional mass scaling law of the resolution length scale R. The focus is on pre-fractal media (i.e., those with lower and upper cut-offs) through renormalization analysis into continuum models, in which the …
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