Fractal Dimension

Although measure of fractal dimension of relational network is an unresolved question, we still attempt to suggest a way of measure.

Landscape shape index and fractal dimension of green space were relatively low and did not change significantly.

The quantitative parameter that describes fractal is called fractal dimension.

the average fractal dimension values and average stability indexes are integrative reflection of the land use structure of each region.

Fractal dimension and multifractal singularity spectrum are very important quantitative parameters describing fractal measures.

Therefore the fractal dimension of micro-cracks is also one of the important quantitative indicators in mineralized fracture zone.

On the contrary, as for the system with larger fractal dimension, the shear stress is smaller, the fluid is good and sensitivity is strong.

Then nonlinear method of fractal was used to analyze the relationship among fractal dimension, combustion degree, and stability of flame.

Speech utterance can be segmented into sentences, words, or even phonemes by the fractal dimension trajectory of speech wave.

The fractal dimension value can be used to describe the variations of the grain size of laterite.

In view of that it is difficult to measure the specific surface area, this paper propose a indirect algorithm of surface fractal dimension.

The results showed that the fractal dimension of the particle distribution could be one index of particle uniformity.

In two staining methods, two types of plaques were different in fractal dimension and the average size of pores inside of plaque.

This method was used to calculate the fractal dimension of rice husk char particles prepared by high speed pyrolysis.

Fractal dimension is a good index of space information of images, widely used in digital image processing and analysis.

The results show that the attrition index of alumina from carbonization precipitation increases with the increase of fractal dimension.

This paper introduces the basic concept and several calculating methods of fractal dimension as a main parameter of fractal theory.

as the temperature increased, the impact of fractal dimension on thermal conductivity composite became weaker.

The fractal dimension of healthy men MCG and cardiopathy MCG are figured out by the box-counting dimension counting method using MATLAB.

The fractal dimension of sandstone fragment distribution increases with the increasing of confining pressure.

The fractal dimension of sandstone fragment distribution augments with the increasing of confining pressure.

On the basis of the capillary pressure data, the fractal dimension of pore structure was calculated by using subsection regression method.

The causes of fractal dimension increasing are explained and physical mechanics of clastics fractal distribution are studied.

The so-called fractal antenna is the antenna with geometric properties of the self-similarity and fractal dimension.

A new efficient diner algorithms of texture feature of two different fractal dimension is proposed.

After analyzing we conclude that there are linear relationships between porosity, permeability and fractal dimension.

In additions, the coefficients of variation and pitting become more stable and popular after modification by fractal dimension.

Cellular structure possesses fractal characteristics so that its shape complexity can be described by fractal dimension.

The results showed that fault distribution obeys fractal law, and that fault fractal dimension is closely related to coal and gas outbursts.

For the study of soil erosion, fractal dimension D_S can distinguish characteristics of drainage networks before and after rainfall well.

at last , the critical exponent and fractal dimension of correlative length are calculated when phase transition happens.

The meaning of fractal dimension is discussed. This study provides a basis for a frost growth model that is close to reality.

Fault systems with larger fractal dimension consist of better developed and less evenly distributed faults.

Secondly, the use of fractal dimension as an index to divide the image to sub-block, can receive high similarity sub-blocks.

By employing fractal dimension measurements, aero-ramp is proved to perform better in far-field mixing than physical ramp.

The key point lies in establishing the extended fractal dimension function, its analysis and applications.

Therefore, this paper used improved box-counting approach to compute the fractal dimension of wood texture cell image.

the fractal dimension of EMG signals at different contractile states of muscles are apparently different.

According to the basic theory of fractal geometry, the determination on fractal dimension of pore of rocks and logging curve was discussed.

Then a new definition of fractal dimension-extreme value weighted mean fractal dimension was given, and the feature of iris was extracted.

It is indicated that metal grain can be described quantitatively by fractal dimension.

A fractal dimension threshold is set to eliminate the natural background. The GMM method is utilized to detect the object.

Through microscopic observation and calculation of fractal dimension the seal coating failure of Al-Si.

At certain conditions, the fluid shear becomes the major factor to influence the fractal dimension of flocs.

Fractal dimension of silver Grade Freqency of the deposit shows the spatial distribution and variation of silver ore.

the water swelling herb has higher fractal dimension than untreated herb and ethanol swelling herb.

under fixed dynamic load, static load has a little effect on fractal dimension values.

It is found that the fractal dimension increases and the conductance decreases with increasing voltage.

The relationship between grain size and fractal dimension is investigated.

For the same scale coefficient, the effect on the factors became greatest almost in the same range of fractal dimension.

public green has lower fractal dimension, more regular patch boundary and simple shape.

As a result, quantitative relation of fractal dimension and porosity was studied and physical meaning of fractal dimension. . .

Rule about influence of fractal dimension on wave energy dissipation was analyzed.

According to the fractal characters of remote sensing image, the image was segmented with the Local Fractal Dimension (LFD).

Pool and glide have the high values of area weighted mean patch fractal dimension which shows that the edge is more complex.

The conceptions of fractal, fractal dimension and the mathematical model of fractional Brownian motion are discussed in this paper.

CPAM with higher molecular weight formed the flocs with lower fractal dimension.

The relation between grain size and fractal dimension is investigated.

But the fractal dimension between the same kind of the sample is small differences , about 0. 005.

Conventional fractal dimension(FD) is utilized to describe boundary complexity based on self-similarity measures.

There were some regions whose growth rate was zero nearly, But the interaction didn't impact fractal dimension of aggregations.

In addition, the relation between fractal dimension D and fracture energy G(subscript F) was analyzed qualitatively.

Review on methods of calculating fractal dimension.

and (3) the quantity of overbreak presents nonlinear increase for many times with relative fractal dimension.

First of all, parallel computing fractal dimension of the image than the existing method have a larger rate of increase.

Based on the calibration mechanism, the stability of the fractal dimension is analyzed.

The increase of concentration of NiSO_4 makes the fractal dimension gradually decrease.

Brown trajectory of the particles that fractal dimension is 2, much higher than its topological dimension 1.

Usually the fractal dimension of F (defined in some way) is greater than its topological dimension.

Experimental data from the Institute of fractal dimension is one of the major recent progress.

In this paper, we obtained a kind of adaptive fractal filtering method by calculation of fractal dimension.

In addition, there is positive correlation between fractal dimension and bending strength, bending elastic modulus.

Fractal dimension determination provides a measure for characterizing the overall pore structure of the Chinese Herbs.

A new aircraft fault prediction method based on fractal dimension was proposed and the prediction formula was given.

The fractal dimension of loss current waveform increases because of the growth of harmonics.

The method gets the gray-level image distributed by fractal dimension using the DFBR field of the fractal theory to restrain the noise.

The fractal dimension of flocs formed for the different coagulants is between 1-2.

On the results of fractal dimension, the flocs look similar and the fractal dimension of flocs were about 1. 9.

It follows from this that the fractal dimension is less while the creep is more serious, the value attains minimum in crack.

The more regular is surface topography of fracture 2, 5, 6, the smaller is fractal dimension.

The result shows that curve fractal dimension equals to 1. 1447 and pore area fractal dimension equals to 1. 9276.

Calculation Method of Fractal Dimension and Application in the Surface and Interface of Materials

The Relations between the Fractal Dimension of the Linear Landscape Element and its Shape Features

Research Progress of the Relationship between Fractal Dimension of Metal Fracture Surface and Its Mechanical Properties

A Fractal Study of a City System: Mathematic Models and the Determination of Fractal Dimension

Study of effective diffusion coefficient of Chryseobacterium sp. In saturated soil using membrane cell and fractal dimension model

Study on the Fractal Dimension and Forecastable Time Scale of a Time Series of Hydrological Elements

Analysis of the Relationship Between the Fractal Dimension of Fluidized Bed Images and Particle Movement Degree

Study on the Space-Time Fractal Dimension Characteristics of Environmental Hazards in Xinjiang Line of New Eurasian Continental Bridge

Fractal model of the reserve-size distribution of ore deposits and the mathematical analysis of its fractal dimension

Calculation Methods of Fractal Dimension of Point Disasters and the Comparison --A Case Study of China Continental Earthquakes

Research on Pore Volume Fractal Dimension and Its Relation to Pore Structure and Strength in Cement Paste with Perlite Admixture

The preliminary study of fractal dimension of temporomandibular joint sounds

Study on relationship between particle size distributional fractal dimension of cement particles and compression strength of cement mortars

Study on Projected Outline Fractal Dimension Mid-position Fractal Dimension Characterizing Particle Group's Degree of Roughness

A Method for Characterizing Chromatographic Fingerprint by Integrating Wavelet Transform with Fractal Dimension

Quartile Deviation Fractal Dimension and Its Application to Gear Fault Identification

Study of fractal dimension and its effect on specific heat capacity of coal or chars

Situation Setting About the Concept of Fractal Dimension

A Study of Rock Fracture in Fractal Dimension Space and its Scale-effect

Application of fractal theory in concrete destructive surfaces and discussion of fractal dimension calculating methods

The Characteristic Analysis of the Calculating for the Time Series Fractal Dimension

Characteristic parameter extraction of voltage signal during aluminum alloy spot welding using fractal dimension

Characteristic Identification of Nonlinear Dynamics System with the Fractal Dimension of Time Series

Analysis of the relationship between the fractal dimension and blasting properties offrozen soil

Relationship between Worn Surface Fractal Dimension and Wear Particle Accumulation Fractal Dimension

Determination of the box-counting fractal dimension and information fractal dimension of beef marbling

Neural Network Used in Prediction of Optimum Fractal Dimension During Running-in Process

Study on relationship between microcosmic fractal dimension of cement particles and macroscopical fluidity of cement

For fixed dimensionless fractal roughness parameter, when the fractal dimension increases the maximum temperature rise decreases;

Research of Correlation Fractal Dimension of Scarlet Fever Epidemic and Epidemic Cerebrospinal Meningitis

Correlation of Particle Size Distribution Fractal Dimension with Powder Fluidity and Flow Addition Reagent Action Effect

Correlation between the Fractal Dimension of Fault Gouges and Fault Activity in Active Fault Zones

Influence of Carbonification Condition on Carbon Fiber Nanometer Micropore Fractal Dimension

A New Grain-size Index: Grain-size Fractal Dimension of Sediment and Its Environmental Significance

Analysis and classification of tissue section images using directional fractal dimension features

Application of variation in the computation of the fractal dimension of dynamic light scattering signals

Auto-correlation function based estimation of the fractal dimension of natural texture images

Fractal Dimension and Its Application in Ventilator Fault Diagnosis

Study of double fractal dimension for granite polished surface

Fractal Dimension and Its Application in Image Classification

Research on Comparison Between Approximate Entropy and Fractal Dimension for Complexity Measure of Signals

Calculation on Fractal Dimension of Electromagnetic Scattering Wave in a Brain

Fractal Dimension of a Class of Subsets on Markov Chain in Random Environment

The Research and Forecast of the Chaotic Attractor Fractal Dimension of Shenzhen Component Index

Application of fractal dimension for sea clutter in the sea-surface targets detecting

Computer Construction of Horseshoe Map Cantor Fractal Graphic and Specific Property of Chaos Fractal Dimension

Theory and engineering application of length fractal dimension on nonlinear vibration waveform

Relationship between fractal dimension and road performance of dense-gradation asphalt mixture

Temporal and Spatial Variation and Fractal Dimension for Mineralization Degree of Groundwater in Sa

Fractal Dimension on Characteristics of Pebble Sediment with Wide Size Distribution and Application

Fractal dimension of urban spatial morphology and its application

Fractal Dimension Study of Calculating Method

Correlation of Clays Particle Group Size Distribution Fractal Dimension and Soils'Air Permeability

Fractal dimension of Cu in diffusion-limited electrolytic deposition process under varied voltages

Fractal characteristic and fractal dimension survey on broken faces of aluminum electric porcelain

Aggregate gradations with different fractal dimension affecting on concrete

Nonlinear Characteristics and Fractal Dimension Analysis of Chinese Stock Markets

it probably produces biggish overbreak due to the biggish fractal dimension;

Development of length fractal dimension and its application to engineering detection

Research on Fractal Dimension Method Applied in Speech Terminals Detection for Mandarin Isolated Words

Research on fractal dimension token surface microtopography processed by excimer laser

Fractal dimension of soil particle size distribution during the process of vegetation restoration in arid sand dune area

Application of length fractal dimension on waveform in structure vibration monitoring

The fractal dimension of fractures of carbonate rocks in Hetianhe gas field and its relation to reservoir property

Application of fractal dimension in estimating oceanfront intensity

The fractal dimension of urban form: theoretical approach and practical significance

Analysis of spatial variability for the fractal dimension and stability indexes of land use type

Roughness and Fractal Dimension of Polished Granite Surface and Their Relationship

Study on Change Regularity of Fractal Dimension of Dynamics Cutting Force with Tool Wear during Cutting Process

Fractal dimension of bridging flocculated aggregates for Yellow River sediment

Application of fractal dimension in evaluation of urban comprehensive strength

Remote Sensing and GIS Supported Study on the Fractal Dimension of the Shoreline of Qinghai Lake

Relationship between Zipf dimension and fractal dimension of city-size distribution

A New Wavelet Fractal Dimension and Its Application in Drill Wear Monitoring

A Binary Fractal Dimension Algorithm and Its Application

The characterization for geometric texture and catalytic properties of V-series catalysts by using method of fractal dimension

Computer processing and fractal dimension calculation of natural water system

Study on Fractal Dimension of Chinese Coastline and Its Character

The Calculation Method in the Formation of Generally Usable Julia Collection and Fractal Dimension

The Influence of Sampling Length and Sampling Space to Fractal Dimension for Granite Surface Profiles

Fractal dimension for developing highways network in Shangdong province

Computation on Surface Fractal Dimension of Freeze-dried Product by Mercury Porosimetry

Fractal dimension and measure of intersection of two Cantor sets

Mass Fractal Dimension of Bridging Flocculated Aggregates in High Turbid Water with Slit Content

Fractal Dimension, Fractal, Chaos and Their Implication in Philosophy of Physics

The Fractal Dimension and Measure of Intersection of Two Cantor Dust

Research on Fractal Dimension and Its Calculation Method of Watershed Topographic Characteristics Based on GIS

Application of Fractal Dimension to Large Rotating Machinery Fault Diagnosis

Study on the fractal-dimension computation of logging curves and recognition of reservoir types

Fractal Dimension of Tetrapod ZnO Nanowhisker and Its Characteristics

Calculation of the Fractal Dimension of the Lamellar Pearlite on Steel Surface

Fractal Dimension Estimates for Invariant Sets on Riemannian Manifolds

Sonar Image Recognition by Wavelet Decomposition and Fractal Dimension

Numerical Simulation Method of Fractal Dimension of Percolation Cluster in Porous Mediums

Study on Double-Scaled Rectangle Box Model of Blasting Seismic Wave's Fractal Dimension Computation

describe rock joint roughness coefficient with fractal dimension

Detection of Structural Damage Using Fractal Dimension Technique

A Study on the Calculation Method of Fractal Dimension and Maximal Lyapunov Index in the Chaotic Phenomena of Stock Market

Analysis for Fractal Dimension of Granularity of Weathered Residual Granite

Estimating the Fractal Dimension of Hydrological Time Series by Wavelet Analysis

Textural Fractal Dimension of Slag-Metal Boundary in Top-blowing Converter with Water Modeling

The Computation Methods of the fractal Dimension of Surface Profiles

Fractal Dimension to Characterize Surface Topography of Flaky Powders

Application of Fractal Dimension in Heart Rate Variability Analysis during Head-down Tilt

Improved Extracting Algorithm of Fractal dimension of Remote Sensing Image

Analysis of Fractal Dimension of Abrasive Grain Protrusion in Diamond Grinding Wheel

Study on the Relation between Fatigue Process of Localized Muscle and Change of Surface EMG Signal's Fractal Dimension

Method of opposite direction renormalization and the calculation of fractal dimension

Studies on the fractal dimension of Zinc's electrodes surface after charging and discharging

Fractal Dimension and Eiectrocatalytic Properties of oxide Electrodes in Sulphuric acid Solution

Inverse deduction on fractal dimension of soil pore with soil-water characteristic curve

A new fractal dimension on transport networks and the method of its determination

The improvement of projective methods to calculate fractal dimension

Application of General Fractal Dimension to Coupling Fault Diagnosis

The phase transition of spectrum of fractal dimension for time series of chaotic investment

Research on the Road Network Fractal Dimension of Zhejiang Province

The Characteristics of Fractal Dimension on Fatty Liver Ultrasonic Images

Fractal dimension structure of Cosmos and its mathematical foundations

A Study on the Relationship between Shear Fracture Energy of Concrete and Fractal Dimension

Calculation of fractal dimension of pore structure by using subsection regression method

Calculation of the Fractal Dimension of Wear Surface Profiles

An Approach to Achieve Classification of QRS Waves with Wavelet Multiresolution Analysis and Fractal Dimension

The Design and Application of Fractal Dimension Calculation Program

Research on the Relation of Fractal Dimension of Friction Coefficient to Load and Velocity

Spatial Variability and Fractal Dimension of D. B. H and Tree Height Growth of Chinese fir Provenance

Influence of Fractal Dimension on the Oil Film Pressure in a Cylinder

The Study of Small-Angle X-ray Scattering For Molecular Network Fractal Dimension in Low Dimension Silicates

Classification of Forestry with Fractal Dimension Value

Effect of Fractal Dimension of Substrate Surface on Adhesive Strength of Arc Spraying Coating

The Phasic Change of Spectrum of Fractal Dimension for Chaotic Investment Time Series

Fractal image encoding method base on fractal dimension clustering

Study on Meaning of Fractal Dimension Characterizing Rough Surface

The Characterization of Carbon Steel Corrosion in Soils by Fractal Dimension

A study on the information entropy and fractal dimension of land use structure and form in Shanghai

Realization of the Box-Counting Method for Calculating the Fractal Dimension of the Urban Form Based on the Remote Sensing Image

Fractal Floc During Flocculation Processes and the Finding of Fractal Dimension

Study on evaluation of particle size distribution of cement by fractal dimension

Experimental Research on the Quantitative Analysis of Flocculation Efficiency Based on Fractal Dimension

Computation Method for Fractal Dimension of Rough Surface Profile

Correlation between Fractal Dimension of Wear Particles and Wear State

Fractal Dimension Analysis of Intestinal Pressure Data

Study on the Changes in Coastline Length and Fractal Dimension on the Maps on Different Scales

Fractal Dimension Computation Methods for Gas Diffusion Layer of PEM Fuel Cells

Analysis of Mass Fractal Dimension Dm of Pore Structure in Soil and Influencing Factors

Ubiquitous Fractal and Fractal Dimension in Objective World

Variance-time Analysis of Network Traffic Fractal Dimension

The analysis of fractal dimension of impact fracture in metallic welding joint

Fractal Dimension of Size Distribution of Particle Group in Porous Medium Clay

Theoretical Computation of Fractal Dimension on Fluctuating Behavior of Financial Systems Based on Fractal Theory

Fractal dimension D tokens the degree of roughness of part terrain, ;

Fractal dimension feature of intestinal pressure data

Characterization of Particles of Powders for PIM by its Fractal Dimension

Estimating the Fractal Dimension of Financial Time Series by Wavelet

Application of Fractal Dimension in Engine Fault Diagnosis

Application of Fractal Dimension in Wear of High-speed Steel and Hard Alloy Cutting Tool

The study of flow units using fractal and fractal dimension methods of capillary pressure curve

Implementation of Meta Fractal Dimension Model on LocalFractal Description of Map Objects

On the methods of characterizing urban land-use form using fractal dimension

Application of Fractal Dimension to Vibration Diagnosis of I. C. Engines

The Relationship Between Growth and Fractal Dimension of Crown in Poplar

Research on Calculation Method of Thermal Image Fractal Dimension

Features and algorithm of fractal dimension of single pixel in digital image

Characteristics and Significances of Fractal Dimension of Fault System in Nanpu Basin, Jidong

Chaos and Fractal Dimension Research of Investment Time Series

Relationship between Soil Aggregates and Water Content within Low Suctions Studied by Using the Fractal Dimension

Time Series Features of the Flood and Drought Damaged Areas in Anhui Province Based on Fractal Dimension Theory

Fractscript: A Macro for calculating the Fractal Dimension of Object Perimeters in Images of Multiple

An Information Hiding Algorithm Based on Coefficients Relationship and Fractal Dimension

The Computer Classification of Land Use by Fractal Dimension Value