• Title/Summary/Keyword: Fractal theory

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A Tree Morphing Animation Using Fractal Theory based on the Web (웹기반에서의 랜덤 프랙탈을 이용한 나무 모핑 애니메이션)

  • Bae, Woo-Jung;Song, Hang-Sook
    • Proceedings of the Korea Information Processing Society Conference
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    • 2000.04a
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    • pp.240-243
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    • 2000
  • 웹 환경에서 모핑 애니메이션들은 전송량의 증가에 따른 과부하를 줄이기 위하여 소스들을 다운 로드 하여 자신의 컴퓨터에서 실행하여 통신 트래픽을 해소하고자 한다. 이때의 애니메이션들은 기하학적 프리미티들을 이용하여 만든 동화상들로 자연스러운 실세계 등의 모습을 표현하기에는 무리가 있다. 본 논문에서는 이러한 문제들을 해결하는 한 방법이면서 보다 다양한 자연의 랜덤한 모습을 보이기 위해 랜덤프랙탈을 사용 한다.

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Paradigm and Pan-paradigm in Mathematics and Architecture (수학과 건축의 패러다임과 범 패러다임)

  • Kye, Young Hee
    • Communications of Mathematical Education
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    • v.27 no.2
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    • pp.165-177
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    • 2013
  • Mathematics teaching is often more effective when teachers connect the contents of mathematics with history, culture, and social events. In the history of mathematics, the 'paradigm' theory from Thomas Kuhn's scientific revolution is very effective to explain the revolutionary process of development in mathematics, and his theory has been widely quoted in the history of science and economics. However, it has not been appropriate to use his theory in the other fields. This is due to the fact that the scope of Kuhn's paradigm theory is limited to mathematics and science. In this study, this researcher introduced pan-paradigm as a general concept that encompasses all, since through any relation in the field of mathematics and architecture, Thomas Kuhn's theory of paradigm does not explain the phenomena. That is, at the root of various cultures there exist always a 'collective unconsciousness' and 'demands of the times,' and these two factors by synergism form values and controlling principles common to various parts of the culture, and this synergism leads the cultural activities, the process of which is a phenomenon called pan-paradigm.

Anisotropy of shear strength according to roughness in joint surface (절리면 거칠기에 의한 전단강도 이방성)

  • 이창훈;정교철
    • The Journal of Engineering Geology
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    • v.12 no.4
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    • pp.421-437
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    • 2002
  • In order to quantify the anisotropic properties of rock included joints and shear behavior in joint surface, the mold is Produced for rock joint surface using gypsum Plaster and Peformed for replicated joint models made of cement mortar. Rock sample is measured using mechanical profilometer before testing and their result is expressed quantitatively. The statistical parameters and the fractal dimension by fractal theory for roughness is investigated its coordinate value for numerical process. The shear strength to the shear displacement in low level normal stress ismaintained or increased in most joint models. Their results present that this relationship is depended several roughness properties in joint model for natural rock joint. The relationship between the shear strength and the Properties for profiles estimated by some statistical parameter in roughness has the low correlation and is not constant. The result between the data for direct shear test and using Barton's equation, Barton's equation has not the effectiveness for the effect of anisotropy and has not suitable to recognizing the properties for joint surface. It means that JRC has not the properties of anisotropic rock surface. The fractal dimension is well correlated with the data of direct shear test than those of JRC. New experimental formulae using fractal dimension is comported with the anisotropic properties for direct shear test.

Biological Early Warning Systems using UChoo Algorithm (UChoo 알고리즘을 이용한 생물 조기 경보 시스템)

  • Lee, Jong-Chan;Lee, Won-Don
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.16 no.1
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    • pp.33-40
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    • 2012
  • This paper proposes a method to implement biological early warning systems(BEWS). This system generates periodically data event using a monitoring daemon and it extracts the feature parameters from this data sets. The feature parameters are derived with 6 variables, x/y coordinates, distance, absolute distance, angle, and fractal dimension. Specially by using the fractal dimension theory, the proposed algorithm define the input features represent the organism characteristics in non-toxic or toxic environment. And to find a moderate algorithm for learning the extracted feature data, the system uses an extended learning algorithm(UChoo) popularly used in machine learning. And this algorithm includes a learning method with the extended data expression to overcome the BEWS environment which the feature sets added periodically by a monitoring daemon. In this algorithm, decision tree classifier define class distribution information using the weight parameter in the extended data expression. Experimental results show that the proposed BEWS is available for environmental toxicity detection.

Fractal Compression using Range Block Coherence (레인지 블록 유사성을 이용한 프랙탈 압축)

  • Kim, Young-Bong;Lee, Yun-Jung
    • Journal of KIISE:Computer Systems and Theory
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    • v.27 no.2
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    • pp.117-122
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    • 2000
  • The fractal image compression is based on the self-similarity that some area in an image is very similar to others. This compression method offers high compression ratio and fast decompression, but it has very long encoding time. To cut-off the encoding time, most researches give a restriction on domain blocks to be compared with a range block or make an effective search sequence of the domain blocks for a range block. However, most of them take much encoding time yet. In this research, we propose an algorithm that greatly reduces the encoding time by considering the coherence between range blocks. This algorithm first classifies all range blocks into some groups using the coherence between range blocks, and then searches corresponding domain blocks only for the key block of each group. If this scheme is joined in a prior work of the other fractal compression algorithm, it will give a great effectiveness to encoding time.

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An Experimental Study of Silica Particle Growth in a Coflow Diffusion Flame Utilizing Light Scattering and Local Sampling Technique (II) - Effects of Diffusion - (광산란과 입자포집을 이용한 동축류 확산화염 내의 실리카 입자의 성장 측정(II) - 확산의 영향 -)

  • Cho, Jaegeol;Lee, Jeonghoon;Kim, Hyun Woo;Choi, Mansoo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.9
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    • pp.1151-1162
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    • 1999
  • The effects of radial heat and $H_2O$ diffusion on the evolution of silica particles in coflow diffusion flames have been studied experimentally. The evolution of silica aggregate particles in coflow diffusion flames has been measured experimentally using light scattering and thermophoretic sampling techniques. The measurements of scattering cross section from $90^{\circ}$ light scattering have been utilized to calculate the aggregate number density and volume fraction using with combination of measuring the particle size and morphology through the localized sampling and a TEM image analysis. Aggregate or particle number densities and volume fractions were calculated using Rayleigh-Debye-Gans and Mie theory for fractal aggregates and spherical particles, respectively. Flame temperatures and volumetric differential scattering cross sections have been measured for different flame conditions such as inert gas species, $H_2$ flow rates, and burner injection configurations to examine the relation between the formation of particles and radial $H_2O$ diffusion. The comparisons of oxidation and flame hydrolysis have also been made for various $H_2$ flow rates using $N_2$ or $O_2$ as a carrier gas. Results indicate that the role of oxidation becomes dominant as both carrier gas($O_2$) and $H_2$ flow rates increases since the radial heat diffusion precedes $H_2O$ diffusion in coflow flames used in this study. The effect of carrier gas flow rates on the evolution of silica particles have also been studied. When using $N_2$ as a carrier gas, the particle volume fraction has a maximum at a certain carrier gas flow rate and as the flow rate is further increased, the hydrolysis reaction Is delayed and the spherical particles finally evolves into fractal aggregates due to decreased flame temperature and residence time.

A Neural Network based Block Classifier for High Speed Fractal Image Compression (고속 프랙탈 영상압축을 위한 신경회로망 기반 블록분류기)

  • 이용순;한헌수
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.3
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    • pp.179-187
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    • 2000
  • Fractal theory has strengths such as high compression rate and fast decoding time in application to image compression, but it suffers from long comparison time necessary for finding an optimally similar domain block in the encoding stage. This paper proposes a neural network based block classifier which enhances the encoding time significantly by classifying domain blocks into 4 patterns and searching only those blocks having the same pattern with the range block to be encoded. Size of a block is differently determined depending on the image complexity of the block. The proposed algorithm has been tested with three different images having various featrues. The experimental results have shown that the proposed algorithm enhances the compression time by 40% on average compared to the conventional fractal encoding algorithms, while maintaining allowable image qualify of PSNR 30 dB.

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Scattering Model for Hard Target Embedded inside Forest Using Physics-based Channel Model Based on Fractal Trees (프랙탈 나무 모델을 이용한 숲 속에 숨어 있는 타겟의 산란모델)

  • Koh Il-Suek
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.2 s.93
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    • pp.174-181
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    • 2005
  • In this paper, a hybrid model is developed, which can estimate scattering properties of a target embedded inside a forest. The model uses a physic-based channel model for a forest to accurately calculate the penetrated field through a forest canopy. The channel model is based on a fractal tree geometry and single scattering theory. To calculate scattering from the target physical optics(PO) is used to compute an induced current on the target surface since the dimension of the target is generally very large and the shape is very complicated. Then using reciprocity theorem, scattering generated by the PO current is calculated without an extra computational complexity.

Slope and Roughness Extraction Method from Terrain Elevation Maps (지형 고도 맵으로부터 기울기와 거칠기 추출 방법)

  • Jin, Gang-Gyoo;Lee, Hyun-Sik;Lee, Yun-Hyung;So, Myung-Ok;Shin, Ok-Keun;Chae, Jeong-Sook;Lee, Young-Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.9
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    • pp.909-915
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    • 2008
  • Recently, the interests in the development and application of unmaned robots are increasing in various fields including surveillance and reconnaissance, planet exploration, and disaster relief. Unmaned robots are usually controlled from distance using radio communications but they should be equipped with an autonomous travelling function to cope with unexpected terrains and obstacles. This means that they should be able to evaluate terrain's characteristics quantitatively using mounted sensors so as to traverse harsh natural terrains autonomously. For this purpose, this paper presents a method for extracting terrain information, that is, slope and roughness from elevation maps as a prior step of traversability analysis. Slope is extracted using the curve fitting based on the least squares method and roughness using three metrics and their weighted average. The effectiveness of the proposed method is verified on both a fractal map and the world model map of a real terrain.

Nonlinear Correlation Dimension Analysis of EEG and HRV (뇌파의 상관차원과 HRV의 상관분석)

  • Kim, Jung-Gyun;Park, Young-Bae;Park, Young-Jae;Kim, Min-Yong
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.11 no.2
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    • pp.84-95
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    • 2007
  • Background and Purpose: We have studied the trends of EEG signals in the voluntary breathing condition by applying the fractal analysis. According to chaos theory, irregularity of EEG signals can result from low dimensional deterministic chaos. A principal parameter to quantify the degree of Chaotic nonlinear dynamics is correlation dimension. The aim of this study was to analyze correlation between the correlation dimension of EEG and HRV(heart rate variability). We have studied the trends of EEG signals in the voluntary breathing condition by applying the fractal analysis. Methods: EEG raw data were measured by moving windows during 15 minutes. Then, the correlation dimension(D2) was calculated by each 40-seconds-segment in 15 minutes data, totally 36 segments. 8 channels EEG study on the Fp, F, T, P was carried out in 30 subjects. Results and Conclusion: Correlation analysis of HRV was calculated with deterministic non-linear data and stochastic non-linear data. 1. Ch1(Fp1), Ch4(F3), Ch4(F4) is positive correlated with In LF. 2. Ch1(Fp1), Ch3(F3) is positive correlated with In TF.

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