1, A fractal description originally developed by mathematician Michael Barnsley, has been adapted to digitally sampled audio.

2, Mackenzie went on to produce fractal sounds from sampled real world waveforms.

3, Keywords: fractal, nucleate boiling, floc, biological aggregates.

4, Benoit Mandelbrot pioneered fractal geometry.

5, Renormalization group method which calculates fractal dimension theoretically is the most useful tool when we study critical phenomena of phase transition.

6, Peano fractal display program[], in the hope that everyone useful.

7, Fractal image coding is a very promising image compression technique.

8, The fractal dimension of the material fracture rises with the increase of whisker direction angle.

9, But the fractal video compression process exhibits a high natural parallelism as there exist data independence when computing the compression codes.

10, After the original image is maked to quadtree fractal coding, we embed watermarking into it by range blocks searching its most-matched domain blocks in different search regions.

11, Using calculation of fractal theory, the fractal dimensions of the core structure fracture in granite gneiss and lamprophyre in Chengbei 30 Archaean group buried hill reservoir are1.

12, MANDELBROT generate beautiful fractal graphics, one for each, can be magnified, each generated color images will change.

13, Fractal theory builds tight dialectic relations among nature, society and thought in higher level.

14, Drawing on chaos theory and fractal geometry, the author introduces the concept of fractal market analysis.

15, The way that the trunk of a tree divides into smaller and smaller branches and twigs is an approximate fractal pattern.

16, Mackenzie's technique uses a variant of Michael Barnsley's iterated function system, called a fractal interpolation function.

17, Figs. 2a,(http:///fractal.html) b and c show successive waveform expansions of fractal processed wind noise.

18, There are movements of Rabari, swirls and swoops apparently random but fractal in nature.

19, In one of them, researcher Jonathan Mackenzie is using the ideas behind fractal geometry to synthesise sounds.

20, Ronell avoids the trap by proceeding in ever-decreasing circles - or fractal geometry, as it is now known.

21, And this paper offers a method of concrete beam cracks simulation based on L system of fractal theory, and provides us a new way to visualize and simulate concrete crack.

22, According to the fact that wavelet detail coefficients of random fractal signal are approximately uncorrelated, the method based on wavelet-based whitening filter .

23, The other methods include: The conventional method of spectrogram parameters, the zero-pole model and the fractal method, the latter two were proposed by the present authors before.

24, Further, through the phase space reconstruction of relating time series and fractal analysis, discussion to nonlinear evolution of the system with varying heating power is delivered.

25, This time consuming block matching procedure influences speed of fractal block coding.

26, From the value and control of structure to coastline , we can know that fractal shows not only the complicated of geological phenomena, but also the being of cause of geological formation in a sense.

27, In this paper, we study the hot issues of fractal image encoding.

28, The corresponding calculating program was written by MATLAB to calculate the fractal dimensions of box-counting in the morphology imagine of semi-solid primary phase in A356 alloy.

29, Graphic designers have lots of fun with the Mandelbrot set. There are several fractal geometry software programs available for download.

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

31, In recent years, fractal theory has been developed in geological and seismal field, but is presently still in its beginning in geological disaster field.

32, The mixed method of boundary element and fractal finite element is adopted to solve the cracked structure-acoustic coupling problems.

33, Fractal Image Maker source code, has a certain reference value.

34, On the basis of traditional"2/3"bridging law, this paper sets up fractal theory to optimal selection of temporary blocking agent .

35, The relations between the fractal dimension and the different concentration isogram, the Reynolds number, the peninsular shape are also researched.

36, In order to effectively extract fault signature of rolling bearing, application of wavelet analysis and fractal on extracting fault signature of rolling bearing's vibration signal is studied.

37, Furthermore, the fractal theory, geostatistics and wavelet method are already used to study the scaling transformation.

38, According to the soil particle distribution theory and the fractal theory, this paper studied soil structural property of seven different forest types and grassland.

39, The multi - fractal features of melancholia patients 16 - channel EEG signals are analyzed with singularity spectrum.

40, Therefore the quantitative analysis of running-in process can be carried out by fractal dimension and multifractal spectrum of the sequence signals of the friction force.

41, This paper provides several artistic examples of fractal mountain and cloud produced on graphics computer. They are created by piling up a single graphics primitive randomly.

42, According to different generators, the concentric ring fractal array can be divided into the linear array, the plane triangular array, the flat square array and the hexagonal array.

43, A fractal geometry of the most commonly used recursive algorithm painting cockscomb , just a few lines of code.

44, We have discovered that the income sequence of Chinese exponential sequences demonstrates the complex fractal and non-linear characteristics.

45, Using the electrodeposition method, fractal clusters of Zinc sulphate solution are obtained. Fractal dimensions are gotten by image processor.

46, Based on the fractal structure of strange attractor and self-affine property of time series, a method is proposed for predicting chaotic time series.

47, Because of the distribution of macropore exhibit fractal rule,() fractal theory can be used to study the structure of macropore.

48, Surface fractal dimension was employed to describe the topography of flaky powder.

49, The relationships between the permeability of the methane gas in coal seam and surface fractal dimension and tortuosity fractal dimension are proposed based on fractal theory and Darcy Law.

50, This paper proposes a watermarking algorithm based on quadtree fractal coding, which is to search for the optimized matched domain blocks in different regions and to embed the watermarking.

51, Based on the coupled mode theory, the cross-talk noise in fractal multiplexed volume hologram is analyzed.

52, The concept of fractal dimension offers a new way to image texture analysis, because it accords image texture a statistical description and exhibits complexity and roughness of texture.

53, Because fractal dimension can not respond to the orientation of the gray level images, an image orientation angle estimating method is proposed by basic knowledge of vector algebra.

54, Value of fractal dimension (D) which can be used to describe the pore structure of hardened cement pastes decreased with the prolongation of hydration but increased with the augment of coal stone.

55, We equation in fractal porous media , and present reiterated two - scale probabilistic model and numerical method.

56, Similarity of the basic curve figures is queried and measured at some resolution ratio level, in the meantime, the fractal dimension in local similarity is matched.

57, The classic fractal images abroad and home were collected to set up a image data base.

58, The fractal picture is elegancy and singularity, and has obvious geometrical meaning.

59, In the terms of fractal statistics, fractal market also existed.

60, The second part is about the application of chaos and fractal.

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

62, The pore structure features small pore throat radius and low height-wide ratio, and much fractal dimension, big capillary tortuosity and high pore-throat radius ratio.

63, This paper proposes a correlation-coefficients-based scheme for fast fractal image encoding, which does not need to change the existing fractal decoding procedure.

64, The relations that fractal dimension between agglomeration state, fabrication condition and powder properties were discussed.

65, With this method, the fractal scaleless band of time-series can be identified and the correlative dimension of time series can be calculated according to the parameters given.

66, With the help of catastrophe criterion, the anomalism criterions of the crossfeed between dam body and foundation are acquired from the real contact area or fractal dimension curve vs.

67, Its complexity degree can be quantitatively evaluated using fractal dimension that can describe geometrical irregularity.

68, The constructing strategy of language links on netnews editing can be discussed with the stand of fractal theory.

69, The configuration of these two antennas are bowtie and fractal shapes.

70, According to the figure of structural network, D_(PF) and D_(VF), the fractal dimensions of the structural plane and body are calculated, respectively.

71, Experiments validate the relation between acquisition probability and fractal feature of reference map, which is valuable for the selection of scene matching reference map.

72, Thirdly , two location data sets of rain - gauge networks have been analyzed by fractal theory.

73, The statistical fractal features of the original coarse terrain data set were determined through linear regression, based on which a denser terrain can be derived by means of bilinear interpolation.

74, The research on catalyst surface details with hybrid fractal and wavelet method exerts the superiorities of wavelet and fractal, and offers a thought for studying solid surfaces morphologies.

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

76, The appearance of fractal geometry extended our former understanding about dimension and scale of architecture.

77, The effects of rock characteristics on the propagation of explosion stress wave are studied and the blast action and the crack effects in the orthotropic rock are analysed through fractal principle.

78, Finally,(sentence dictionary) the thesis does analysis on generative images of holo - embryo architecture from fractal dimension aspect.

79, Fractal dimension will be an important parameter of studying the mathematical and genetical characters of the permeability distribution in clastic rock reservoirs.

80, In this article we discuss the methods of 3D tree modeling by Iteration Function System(IFS)and L System based on the fractal.

81, This paper chooses nets in sports game as research object and presents a netlike texture detection method of using fractal texture features and wavelet transform.

82, In this paper, several identifying methods such as tendency analysis and filter, fuzzy recognition, fractal description and multi-resolution wavelet technique for abnormal signals are discussed.

83, The book is constructed various fractal graph algorithms, and computer programming language.

84, Fractal dimension is an important parameter to characterize roughness in an image.

85, This paper solves the forecast problems of various models by using constant dimension fractal, variable dimension fractal and parameter transformation fractal methods.

86, Bone radiograph texture measurement based on power spectrum and fractal analysis have been proposed.

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

88, In this artical, fractal dimensions of various rank coal(from lignite to anthracite )and coal-coke are determinated by using gas adsorption data, and correlations between them are studied.

89, Two channel EMG Signals during four types' of forearm motions were analyzed to calculate their fractal dimensions. It was found that myoelectric signals of dif...

90, The influences of pressure on the fractal dimension and the structure of micropore are discussed in details.

91, The piecewise self - affine fractal model was explored for data coding and reconstruction of vibration signal.

92, The higher the content of aggregates, water-stable aggregates and water-stable big aggregates in soil, the smaller the fractal dimension of soil aggregate structure.

93, Fractal theory was used in this paper, and fractal feature of grain distribution of sandstone in coal-bearing strata in Permo Carboniferous System was studied.

94, The Brownian movement of pollens also shows the fractal characteristics.

95, Fractal characteristic of multipath fading signal is studied in the paper which shows that multifractal dimension is a key parameter for describing the signal propagation in wireless channels.

96, The relationship between fractal existing levels, yardstick and image input resolution has been put forward and proved by experiments.

97, Fractal geometry offered the quantitative description method for this kind of phenomenon.

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

99, Applying the fractal mathematics model, we can estimate the dimension of various kinds of cotton fiber surface, then, make the sample consulting the quantitative relation.

100, The LYAPUNOV exponent spectrum and the fractal dimension spectrum for both the periodic state and the chaotic state are given.

101, Based on further analysis of PIFS fractal image encoding algorithm, this paper presents four factors that influence fractal encoding speed. For these factors, several improved methods are proposed.

102, This variant form of cauliflower is the ultimate fractal vegetable.

103, The results show that moment features and tabulated data are more effective than statistics and fractal parameters in distinguishing five kinds of discharge.

104, Fractal Geometry is an expanding and deepening system of Euclidean geometry and essentially a new Weltanschauung and methodology.

105, It puts up parameter design with computer programming language, and realizes the creation of the fractal graph. Discuss the color change in the fractal from art eyes.

106, The effects of 8 isometry transforms used in PIFS based fractal image coding on performance are discussed.

107, By computing fractal dimension of speech waveform, which is deemed as two-dimension open curve, we proved the existence of fractal characteristics in speech./fractal.html

108, The experimental results show that the temporal distribution of inundated area of flood disaster has fractal characteristics.

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

110, A tensile facture fractal model of grain filled polymer composites on the base of the fractal theory was established, and an equitation of the tensile fracture fractal dimension was proposed.

111, The frame photograph of explosive samples under drop hammer test have a furcate structure, in which the fractal dimension of the explosive is related to its impact sensitivity.

112, The first fractal dimension relates to roughness of profiles in a negative power function.

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

114, The moisture absorption velocity and balance absorption water rate of fractal PET are larger than that of common PET, especially on high temperature and large humidity condition.

115, Fractal is used to quantitative describe the interrupted, stochastic, non - linear physical and chemic phenomena.

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

117, This paper discusses fractal interpolating problem of parametric form ( PFIP ).

118, Fractal dimension does have some correspondence with the type of failure.

119, This paper introduces the theory foundation and the display algorithm of the fractal graphics, which has been applied into the three dimensional display of the natural tree.

120, As the concentration of zinc sulfate increases, the formation of product appears thin stringy structures and open grossness structures with a relative change of the fractal dimension.

121, It is found that the frost heave curve has a good self-similarity, and the fractal theory can be used to describe the frost heave curve.

122, The relationship be - tween grain size and fractal dimension is investigated.

123, In a word, to study the fractal feature of sandstone grain distribution is directive for analysis in the complexity of sedimentary environment and sedimentary background.

124, Consequently, fractal theories areto be promising in studying the structure and adsorbing capacity of macroporous resins.

125, "It's a fractal deployment of intellectual property, " Wright says. "Instead of picking one format, you're designing for one mega- platform.

126, The grid technique of Box-counting methods is applied to fractal dimension of daily streamflow hydrograph in the upper reaches of Minjiang River.

127, In Chinese ink wash drawing, a self-similar silhouette is generated on Xuan paper while ink diffuses. An approach based on fractal is presented to simulate the diffusion border.

128, Many reports have been made about the applications of fractal theory in the fields of natural image simulation, image texture analysis, pattern recognition etc.

129, This paper introduced a method which used secant method to iterative operation within the scope of complex number in order to gain root, then painted fractal picture with the calculated result.

130, As to the advantages of CPW (coplanar waveguide) and fractal antenna, a hexagon slot antenna is designed, which is excited by CPW.

131, Some musicology researcher discovered that classic music has fractal character.

132, Water tree of power cable is a fractal structure, which is attribute to diffusion - limited aggregation model.

133, The computer simulation of fractal viscous fingering have been studied to various two - dimension porous media.

134, From this base fractal class, the Mandelbrot, Julia, and Newton fractals are derived.

135, The Fractal Brownian Motion ( FBM ) provides effective mathematics model, which has important ...

136, Taking rigid disk surface as an example, fractal parameters are obtained by means of power spectrum and structure function, providing a proper geometric model for further contact analysis.

137, In the aspect of organizational structure, virtual corporation has some systematic characteristics, such as organic entirety, structure functionality, level array, fractal structure, etc.

138, Urban is the congeries of population and economy, the urban system of an area has the trait of fractal at different time-space preconditions.

139, The traditional computer algorithm for drawing Sierpinski sponge in fractal graphics is analyzed.

140, The research indicates that the fractal dimension can be a parameter of the quantitative analysis, and quantificationally estimate the complicacy of dilapidation .

141, Euclid geometry can be regarded as an abstraction of nature. Comparing to Euclid geometry's simpleness, Fractal geometry reflects natural contexture more veritably.

142, The statistical fractal model of contact surfaces is presented, and the influence of contact stresses on damage states under different load condition is analyzed.

143, The fractal structure factors (FSF ) of spinel from ultramafic xenolith, harzburgite, dunite and chromite have been calculated using a new method presented by Shen (1993).

144, The article analysis mine exploitation sink and resume infection feature to land use types, It utilize fractal dimension to analysis diggings sight pattern's direction of evolvement.

145, This paper applies wavelet and fractal theories to analyze multipath fading signal in mobile radio communications for the first time.

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

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

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

149, Owing to this method, the geometric construction of the single chaotic attractor is not changed, while the whole images have well fractal self-similar properties.

150, The fractal interpolating fitting curves are well consonant with the observation data.

151, The results show that linear fractal features exist in the grain size of laterite.

152, On the basis of generalizing the fractal theory, Euclid geometry mould and the discentral barrel finishing, L-System and the fractal characteristics of the grinder movement is analyzed.

153, By using this model the soil-water characteristics and permeability coefficient of unsaturated soil are deduced and expressed in fractal dimension and air-entry value.

154, Then introduce the third dimension using of dualistic fractal interpolation, form a project IFS.

155, A particle - cluster model for fractal aggregation that have been presented.

156, Aimed at the characteristics of fractal polyester fabric, overflow dyeing process and thermosol dyeing process are carried out.

157, The local large fluctuation observed in the final phase space of cosmic rays experiment and high energy collisions cause intermittency and fractal to be the focus.

157, is a online sentence dictionary, on which you can find good sentences for a large number of words.

158, The article examined relationships between the fractal dimension value and the intensity on simulated fire condition. the experimental error was in the acceptable scope.

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

160, The fractal characteristics of forest landscape on mosaic structure model at Baiyun region in Guangzhou was analyzed using fractals.

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

162, A fractal object is self - affine instead of self - similar if it has scaling property in different direction.

163, They are the shape imitation, rotating, folding, topological deformation, fractal composition and graphic expression.

164, The propagation of rock microcrack is analyzed. The fractal characteristics are analyzed by dissipated energy consumed by microstructure fracture.

165, The basic concepts of fractal are introduced with some in-depth research on complex fractal, in which the complex plane Julia set, Mandelbrot set and classic definition set are introduced.

166, The relation between fractal feature and the correlation coefficients of reference sub-map is deduced, and the scene navigability analysis method based on fractal feature is also put forward.