fractal

It is thus easy to perceive this fractal echoing of our solar system at all levels of the universe.

Fractal is an order state of far from equilibrium from the point of physics.

The surface topography of PCB manifests self similarity, which shows that the material fracture possesses fractal characteristics.

However, the long coding time of this method becomes the main problem for the fractal image compression to be efficient and utilizable.

The nautilus is one of the most famous examples of a fractal in nature. The perfect pattern is called a Fibonacci spiral.

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

Rough fracture surface is of characteristics of fractal and can be considered as congruence of the upper and lower fracture surfaces.

The fractal crushing dimension might be useful indicator for quantitative analysis of the particle breakage of granular materials.

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

As you embrace your change, picture yourself as the initial shape in a fractal image.

The unique Fractal Tree Suspension of the wheels was designed to be a light, flexible and strong, evolved as structure of a branch.

This paper proposes the concept of extended fractal patterns, including traditional patterns and non-traditional ones.

Firstly, paper explains some related fractal theory and concept of image processing about M-J Sets and incremental image generation.

Fractal geometry provides a means of describing and analyzing the complexity of different geographical features in remotely sensed images.

Experimental results show that fractal images with different configurations can be obtained intuitively and effectively by this algorithm.

In this chapter we provided some useful analogies for understanding the fractal nature of SOA.

The quantitative parameter that describes fractal is called fractal dimension.

Another example of a fractal may be seen in a spiral, whose shape is repeated in the formation of wider and wider curves .

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.

Materials are distributed throughout the body of mammals by fractal networks of branching tubes.

These models were proved to be valid by comparison of the fractal particle-size distribution with practical measurement.

Fractal art is an artistic form, much in fashion in recent years, as well as the perfect combination of science and arts.

The real contact state between the end faces in friction pair of mechanical seals was studied with fractal theory.

By making a fractal mathematical model, the dispersion of granules which are close to bubble is quantitatively assessed.

Though the rate of aggregation growth is different in different directions, the whole aggregation shows fractal structure.

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

In this article, developer and writer Peter Seebach takes a look at what Buoy does and why it works, using a simple fractal UI program.

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

And then, following the theory of grille fractal, PQ disturbance signals can be located exactly by analyzing the grille change regularity.

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

In fractal theory viewpoint, any subtil change in start can lead great difference in the end, it is called 'butterfly effect'.

Mandelbrot's observations provided him with the material for his seminal book, The Fractal Geometry of Nature, published in 1982.

Patterns obtained by fractal theory which are complicated, colorful and ever changing, give a strong heart shock to people.

It has been shown that geochemical element data, mineral deposit and its space distribution have fractal structures.

the formula of the scattering cross section for the conducting fractal surface is derived by the consideration of the shadowing effect.

The fern is one of many flora that are fractal; it's an especially good example.

Chinese capital market has presented the fractal characteristic as a whole also with the characteristic of complexity.

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.

A new cubic covering method is proposed to determine the fractal dimensions of the interface, which improves the measuring precision.

Fractal theory takes non-linear complex systems as its objects and is an effective method to solve complex problems.

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

To recall our earlier discussion, the seashore is fractal, since the coastline looks equally jagged from any height.

Fractal characteristics of the drainage networks are determined to describe the degree of network organization.

These features are referred to as self-similar, or fractal laws.

By researching the characteristic of automobile engine, the fractal theory was used to diagnosis the fault of engine.

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

small and medium-sized manufacturing enterprises; joint distribution; model choosing; fractal management; profit distribution.

Show the realization of two image compression algorithms: fractal code base on isosceles right triangle and fractal code base on Quadtree.

The results showed that the shear strength of fractal joints decreases nonlinearly as the filling percentage increased.

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.

A fractal distribution requires that the number of objects larger than a specified size has a power-law dependence on the size.

An image compression technique that incorporates Peano scan with a fractal-based coding scheme is described.

Many researches indicate that fractal theory is a effective approach to investigate porous structure and properties of the porous material.

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

This article made a improved recursive algorithm, which creates many different shape fractal-trees by different random number everytime.

Methods: Fractal analysis of TMJ sounds in normal subjects and patients were done by the theory of chaos and fractal in nonlinear dynamics.

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

Fractal growth is a very important research direction in fractal theory and its application.

By iterating or repeating fractal-generating equations many times random outputs create beautiful patterns that are unique yet recognizable.

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

Experimental results also show the superiority of its application in match seeking of fractal image compression.

And try to use the screen as a film to download adult video divided into synthesis of fractal rheological do.

Objects said Fractal geometry can be used in many areas to describe and explain natural phenomena features.

By that, we will estimate the dimension of a fractal set generated by a graph-directed iterated function system.

The fractal characteristics of pore-structure on sintered porous stainless steel fibres were studied in virtue of the fractal geometry.

The graph was analyzed for statistical and fractal properties and was compared with current models.

Compared with the fuzzy statistical method, the fractal method is quantitative, objective and accurate in flood season staging calculation.

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

In that work, he coined the word fractal, which is derived from the Latin word fractus, meaning broken or fractured.

Some orderly net structures have self similarity with fractal characteristics under a certain condition.

Experiments on standard images showed that our adaptive search method yields superior performance over conventional fractal encoding.

Computing fractal associated dimension parameters of seismic data usually costs much time with the conventional computing method.

Relationships among strength parameters, peak stress difference and fractal dimensions of granularity were also discussed.

The summation method is developed on the basis of fractal models to determine thresholds for Au data in Shandong Province, China.

Lastly, the linear relations between the two fractal dimentions and the topographic factors are analyzed.

You, as an individual, wish to effect change (the initial fractal shape).

The fractal dimensions of sandstone fragment distribution are different under different confining pressures in triaxial tests.

Fractal image coding is a very promising compression technique, but it suffers from long encoding time.

Fractal artists in different areas of the screen painted different colors to show in front of us, it will be very beautiful picture.

In this book, methods from fractal geometry are applied to model growth forms.

This paper studies the component elements of county area and its topologic structure , dissipative structure and fractal structure .

Fractal theory applied to image processing that creates a fractal image compression technology.

In renewing ourselves, we have a chance to let go of the old and to realign ourselves with the fractal pattern of the God within.

By the rule in the fractal theory the agglomeration process can be considered as follows.

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

As for the identity of those who created the complicated mathematical and fractal patterns that appeared in the mid-1990s, I have no idea.

The rock mass mechanics and fractal geometry provide a new approach for the regional prediction of coal structure spatial distribution.

The rock mass mechanics and fractal geometry provide a new approach for the regional prediction of coal structure spatial distribution.

This similarity of well-logging response can be described quantitatively by fractal theory.

This variant form of cauliflower is the ultimate fractal vegetable.

This paper first introduces the common image compression technology-Huffman coding and fractal coding, and then proposes some improvements.

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

Fractal is introduced to the research fields of concrete. the concrete crushing procedure and fractal feature in aggregate are analyzed.

The use of fractal theory causes it hopeful to solve such a complicated problem.

Fractal geometry, combining with classic electromagnetic theory, has produced the fractal antenna system theory.

Due to the special role in solving non-linear problems, fractal geometry theory plays an important role in many fields.

Obviously, the further research on the fractal theory application in soil structure and soil properties has important significance.

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.

Fractal theory describes the unification between confirmation and randomicity, also order and disorder in non-linear systems.

The code is a simple recursive fractal graphics to demonstrate the implementation process.

subdivide multi fractal - as above , but new vertices are randomly displaced within a user - defined range.

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.

If you divide a fractal pattern into parts you get a nearly identical reduced-size copy of the whole.

This paper proved that grain size composition of pluvial fan conglomerate has self similar fractal structure by applying fractal theory.

Fractal theory is nonlinear forward and important branch of science, and is a new cross-cutting subjects.

This paper focuses on the concentric ring fractal array of the low side lobe characteristics in fractal antenna arrays.

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.

Computer simulation provides a new way for study of the aggregation of particles while the fractal theory provides new idea.

The convergence for this method is proved and applied to solve inverse problem of fractal rough surface.

The studies on comparison of fractal dimensions and their self-similarity offer a plenty of information on corrosion mechanism and process.

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

Most of traditional methods studying pore structure are qualitative, while fractal geometry changed this condition.

This paper offer a new method of using the fractal theroy. Through the test of the known samples, this method is proved to be correct.

If sent by the editor, this tells the fractal to alter that point on its prototype line and request a redraw.

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

The investigation show that the equivalent permeability of fractal network system in rock masses will i. . .

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

A comparison of measurements of the DLA fractal structure simulated by a computer was made.

The feasibility of fractal analytical technique for the correction of density in division area is discussed.

The multifractal growth process of the SEM images of catalyst surface is studied using fractal and multifractal theory.

This thesis studies modeling and the simple application of the fractal approximation of curves and surfaces.

Speech utterances consist of chaotic natural phenomena, and fractal can model natural phenomena of chaotic state well.

The property of the invariant set and measure's dimension of the IFS are main objects in the studying of fractal geometry.

the calculation of chaos and fractal characteristic parameter , the correlation , is studied.

The mathematic base and the basic coding idea of the fractal image compression are introduced in this paper.

Its purpose enhances the fractal compression encoding efficiency and has high quality rebuilding image.

The Hutchinson metric is a natural measure of the discrepancy between two images for use in fractal image processing.

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.

With examples in packaging design, it showed the uniqueness and promotion of fractal graphics for packaging design.

The paper focus on introducing the application of Huffman coding, PredictiveCoding, Wavelet analysis and Fractal compression in ceramics.

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

Geophysical data are the stack of these kinds of signals and thus present multi-fractal characteristics.

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 theory is introduced into the wear investigation of cutting tool for studying the modern tool.

This paper reviews its concept and applications first and then introduces some common fractal antenna and array designs.

The Iterated Function System(IFS) is an important and applied branch of fractal theory.

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

An algorithm for generating a class of self-(mutually-) similar fractal graphs brought about by whirling is proposed.

The results of this study indicate that chaos and fractal theories have great potentials in the field of speech signal processing.

Similarity was statistically and the results of measurement agreed with the unite principle of fractal theory.

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

Finally, expects future application and progress of fractal theory in speech signal processing.

The linear degree of fit beeline of MATLAB program is high, which shows fractal behavior of PCB's fracture is obvious.

The distribution of microcrack lengths in damage evolutional process of materials is a fractal distribution.

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

In computer graphics, the use of fractal method to generate natural landscape display and mathematical physics and visualization system.

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

Advance applying the multi-fractal to describe properties of signal, to take signal properties vector.

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

Applications of fractal geometry to the study of mechanical properties of metallic materials are described in this paper.

This paper presents a new adaptive search approach to reduce the computational complexity of fractal encoding.

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

How to import the advanced theory of K-mean clustering into the domain of fractal image encoding is a hotspot research in national academia.

Because of the fractal structure in rock massif, coefficient of embedment is a natural expression of this self-similarity.

The nonlinear theory contains three important concepts: Fractal, Chaos and Soliton.

Fractal Interpolation Method for Spatial Variation Analysis on Seepage Water Level.

An effective approach of the fractal binary image compression was presented based on genetic algorithm and IFS( Iterated Function System).

The computation of the various dimensions of fractal sets is very important in fractal geometry research.

The gravity fracture surface sliding model with self-affine fractal character is established.

In this paper, we proposed a fractal characters based method for nature environment image segmentation.

More over, the Fractal theory provided another method to find order and configuration.

A new method for identification of flow regime of gas-solid fluidized bed using fractal and fuzzy recognition is presented.

deduce the supply chain node relationship coordination by The Game Theory and The Fractal Theory.

Experimental results demonstrate that the diffusion effect simulated by fractal is similar to the real effect of ink wash drawing.

The second one is the relationship between mechanical properties and fractal characters of wood destroyed fracture.

Fractal was a novel method to characterize materials.

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

Each chapter has a general introduction to a particular aspect of growing fractal surfaces.

Use fractal noise for controlling the dynamics of the sparkle element. . .

Then, pattern similar transformation rules are designed to generate fractal text on matrix.

If the difference of pore sizes is small, the fractal dimensions of pore structure are equivalent or close.

Fractal image compression coding(FICC) is a new image coding method developed in recent years and has been studied extensively.

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

Experiments show that runningin surface within a limited dimension has rem arable fractal feature.

Using fractal technology to design multiband microstrip antenna is the hot studying field now.

third , the fractal analysis of practice vehicles vibration signal is researched considing commonly state and complex state.

To elaborate the application of fractal theory in the oil and gas exploration and development more detailed.

In this paper, a fractal analysis technique is proposed to analyze the textures of hyperspectral images.

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

The fractal technology of flocs has been applied in the chemical enhanced treatment to treat organic pollutant in the water in this paper.

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

The BSE combine with fractal content-grads methods can more accurate to enclose the geochemical focus.

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

The basic concepts of fractal geometry and fractal box counting dimension are introduced.

This article introduces the characteristics of fractal texture.

The model is based the Fractal Sum of Pulses theory, involving additive stochastic processes.

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.

A number of complex physical phenomena, behind such a level that is reflected in the structure of fractal geometry.

We use the orbit trap tracing, color palette and layering technique to produce 3D fractal image which has a fascinated appearance.

The result shows that the vibration signal of automotive transmission has a fractal feature.

The fractal character of the geologic fracture surface is studied.

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. . .

An efficient local fractal box dimension is proposed to extract local fractal feature of image.

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

Fractal geometry is about things have scale invariance in self-similar meaning, it is the mathematical branch.

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

The change of relative importance influences fractal feature of stock yields.

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

Indeed, Bianconi's group found that when lanthanum copper oxide is superconducting, the oxygen ions display a fractal pattern.

Braining with brain, thinking with thought, is just embodiment of fractal.

In this paper, a fractal based graph theoretic approach for face recognition is presented.

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

Fractal dimensions of images of barleys and malts pieces were calculated on the basis of the fractal theory.

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

The random distribution of metal particle sizes is expressed by fractal theory in this paper.

You can select a new point using those widgets or by clicking in the fractal panel, which selects the nearest point.

Chaos and Fractal procedures. Relatively simple, but still the source said.

Dust cluster adhering to workshop ceiling have fractal structure.

The relation between grain size and fractal dimension is investigated.

Based on high speed milling of aluminum-alloy, analyzing milling-force and fractal mechanism of high speed milling surface micro-topography.

Fractal thought is a common phenomenon in nature, society and human thoughts.

This kind of shoes for its bottom have larger tires, slippery fractal pattern.

In this paper, the process of mapping clouds, with the fractal interpolation algorithm, is presented.

The different fractal dimensions of 6 fractures show that complexity and roughness of fracture were different.

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

Characteristics of tailings gradation are studied by using fractal theory.

In this paper, the applications of fractal theory in polymers in recent years are reviewed.

He modeled a tree as cantilevered beams assembled to form a fractal network.

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

Static approaches of modeling 3D tree generally utilize fractal features and stochastic features of tree.

Fractal charact6tistics of rock drilling powder is researched with fractal geometric theory in this paper.

The intensity of the low silicon sinter is studied by fractal theory.

The theoretically strict novel method for determining irregular rock strength is developed based on fractal and chaos theory.

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

In this paper, a fractal based knock threshold detection method is presented.

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

Firstly, the appearance, development of fractal geometry and recent study are proposed.

The research of morphologic eigenvalue is also basic, so it is necessary to measure the shape factor and fractal of particles.

The fractal structure of LPG diffusion fire edge was theoretically studied on the basis of image processing and fractal theory.

Fractal theory provides an effective tool for quantitative study of some complex system such as watershed topographic feature.

Fractal technology is adopted to realize the dynamic 3D modeling in the virtual environment of route selection.

Firstly I created a layer of fractal noise that evolved over time using an expression.

In this dissertation, target-detection algorithms based on fractal features are studied grounded on fractal theory.

The resultant migration pattern is a fractal structure.

A novel fault detection method for Wall-climbing robot is presented based on complex wavelet packets analysis and fractal theory.

Review on methods of calculating fractal dimension.

The fractal cosmology at large scale is discussed especially.