• Title/Summary/Keyword: 프랙탈 해석

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A study on fractal dimensions of art works (미술 작품의 프랙탈 차원 연구)

  • Synn, Chaeki F.;Heo, A-Young;Kim, Seul Gee;Park, Cheolyong
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.2
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    • pp.305-314
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    • 2016
  • In this study, an analysis is performed for comparing the fractal dimension of Jackson Pollock's art works with that of Korean Infomel art works. In order to test the hypothesis that Jackson Pollock's fractal dimension is different from Korean Informel's, data is collected for the fractal dimensions of 30 Jackson Pollock's and 45 Korean Informel art works. The results show that Korean Informel's fractal dimension is larger than Jackson Pollock's. This might be interpreted that the pattern (in finer scale) of Korean Informel art works is closer to planes, rather than lines or points, compared to that of Jackson Pollock's.

Application of Fractal Geometry to Interfacial Electrochemistry - II. Impedance Behaviour of Fractal Electrodes

  • Shin Heon-Cheol;Pyun Su-Il
    • Journal of the Korean Electrochemical Society
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    • v.4 no.1
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    • pp.26-33
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    • 2001
  • This article involves the application of the fractal geometry to interfacial electrochemistry. Especially, we gave our attention to impedance behaviour of the fractal electrode. First, this article briefly explained the constant phase element (CPE) in electrochemical impedance and the do Levie's transmission line model. Second, we introduced the Nyikos and Pajkossy's theoretical works to approach the CPE phenomena using the fractal geometry. Finally this article presented other various fractal models for analysing the ac response of the rough electrodes.

Electromagnetic Wave Scattering from a Perfectly Conducting Fractional Brownian Motion Fractal Surface Using a Monte-Carlo FDTD Method (몬테칼로 유한차분 시간영역 방법을 이용한 프랙셔널 브라운 모션 프랙탈 완전도체 표면에서의 전자파 산란)

  • Choi, Dong-Muk;Kim, Che-Young
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.2A
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    • pp.63-69
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    • 2003
  • In this paper, the scattered field from a perfectly conducting fractal surface by Finite-Difference Time-Domain(FDTD) method was computed. A one-dimensional fractal surface was generated by using the fractional Brownian motion model. Back scattering coefficients are calculated with different values of the spectral parameter(S0), fractal dimension(D) which determine characteristics of the fractal surface. The number of surface realization for the computed field, the point number, and the width of surface realization are set to be 80, 1024, 16λ, respectively. In order to verify the computed results these results are compared with those of small perturbation methods, which show good agreement between them.

A Study on the Surface Asperities Assessment by Fractal Analysis (프랙탈 해석을 이용한 표면 미세형상 평가 기법에 관한 연구)

  • 조남규
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.5
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    • pp.7-14
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    • 1998
  • In this paper, Fractal analysis applied to evaluate machined surface profile. The spectrum method was used to calculate fractal dimension of generated surface profiles by Weierstrass-Mandelbrot fractal function. To avoid estimation errors by low frequency characteristics of FFT, the Maximum Entropy Method (MEM) was examined. We suggest a new criterion to define the MEM order m. MEM power spectrum with our criterion is proved to be advantageous by the comparison with the experimental results.

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Design md. Implementation of Image Decoder Based on Non--iterative Fractal Decoding Algorithm. (무반복 프랙탈 복호화 알고리즘 기반의 영상 복호화기의 설계 및 구현)

  • 김재철
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.3C
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    • pp.296-306
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    • 2003
  • In this paper, algorithm for non-iterative decoding method is proposed and fractal image decoder based on non-iterative fractal decoding algorithm used general purpose digital signal processors is designed and implemented. The algorithm is showed that the attractor image can be obtained analytically whe n the image is encoded using the fractal algorithm proposed by Monro and Dudbridge, in which the corresponding domain block for a range block is fifed. Using the analytical formulas, we can obtain the attractor image without iteration procedure. And we get general formulas of obtained analytical formulas. Computer simulation results for various test images show that we can increase the image decoding speed by more than five times when we use the analytical formulas compared to the previous iteration methods. The fractal image decoder contains two ADSP2181's and perform image decoding by three stage pipeline structure. The performance tests of the implemented decoder is elapsed 31.2ms/frame decoding speed for QCIF data when all the frames are decoded. The results enable us to process the real-time fractal decoding over 30 frames/sec.

Fractal analysis on fracture toughness of particulate composites (입자강화 복합재료의 파괴인성에 관한 프랙탈 해석)

  • 김엄기;남승훈;고성위
    • Journal of Ocean Engineering and Technology
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    • v.10 no.4
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    • pp.84-91
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    • 1996
  • A fractal analysis on fracture surface of aluminium-particulate SiC composites was attempted. As the volume fraction of SiC in composites increases, the fractal dimension tends to increase. However, no correlation between the fractal dimension and the fracture toughness in terms of critical energy release rate was observed. Since the fractal dimension represents the roughness of fracture surface, the fracture toughness would be a function of not only fracture surface roughness but also additional parameters. Thus the applicability of fractal analysis to the estimation of fracture toughness must depend on the proper choice and interpretation of additioal paramerters. In this paper, the size of characteristic strctural unit for fracture was considered as an additional parameter. As a result, the size appeared to be a function of only volume fraction of SiC. Finally, a master curve for fracture toughness of aluminium-particulate SiC composites was proposed as a function of fractal dimension and volume fraction of SiC.

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