• Title/Summary/Keyword: Fractal 이론

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Analysis of Electroluminescent Device Using Fractal Theory (프랙탈 이론을 이용한 발광소자 발광특성 분석)

  • 조재철;박계춘;홍경진
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.15 no.4
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    • pp.332-337
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    • 2002
  • The applicability of models based on fractal geometry to characterize the surface of the EL devices was investigated. Insulating layer and phosphor layer of EL devices were deposited on ITO glass using e-beam method. The images of phosphor layer by scanning electron microscope(SEM) were transformed to binary coded data. The relations between fractal geometry and electrical characteristics of EL devices were investigated. When the fractal dimension of $Cas:EuF_3$ EL device was 1.82 and its grain boundary area was 19%, the brightness of $Cas:EuF_3$ EL device was 261 cd/$\textrm{m}^2$.

Automatic Composition Algorithm based on Fractal Tree (프랙탈 트리를 이용한 자동 작곡 방법)

  • Kwak, Sung-Ho;Yoo, Min-Joon;Lee, In-Kwon
    • 한국HCI학회:학술대회논문집
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    • 2008.02a
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    • pp.618-622
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    • 2008
  • In this paper, we suggest new music composition algorithm based on fractal theory. User can define and control fractal shape by setting an initial state and production rules in L-System. We generate an asymmetric fractal tree based on L-System and probability. Then a music is generated by the fractal tree image using sonification techniques. We introduce two composition algorithm using the fractal tree. First, monophonic music can be generated by mapping x and y axis to velocity and pitch, respectively Second, harmonic music also can be generated by mapping x and y axis to time and pitch, respectively Using our composition algorithm, user can easily generate a music which has repeated pattern created by recursive feature of fractal, and a music which has structure similar to fractal tree image.

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A Study on East Fractal Image Decoder Using a Codebook Image (코드북 영상을 이용한 고속 프랙탈 영상 복호기에 관한 연구)

  • 이기욱;곽노윤
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.4 no.4
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    • pp.434-440
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    • 2003
  • Since Jacquine introduced the image coding algorithm using fractal theory, many fractal image compression algorithms providing good quality at low bit rate have been proposed by Fisher and Beaumount et al.. But a problem of the previous implementations is that the decoding rests on an iterative procedure whose complexity is image-dependent. This paper proposes an iterative-free fractal image decoding algorithm to reduce the decoding time. In the proposed method, under the encoder previously with the same codebook image as an initial image to be used at the decoder, the fractal coefficients are obtained through calculating the similarity between the codebook image and an input image to be encoded. As the decoding process can be completed with received fractal coefficients and predefined initial image without repeated iterations, the decoding time could be remarkably reduced.

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Electrical Tree Simulation by Fractal Theory (Fractal 이론을 이용한 전기 트리 시뮬레이션)

  • Shin, T.S.;Shin, D.W.;Kang, S.H.;Lee, B.Y.;Lim, K.J.
    • Proceedings of the KIEE Conference
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    • 1997.07d
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    • pp.1481-1484
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    • 1997
  • This paper describes a electrical tree simulation by fractal theory. Tree patterns produced by computer simulation with random numbers were studied from the point of view of fractal dimension. Tree patterns have a variety of shapes such as branch-like, bush-like, and quasi-bush-like trees. The patterns are determined by origins and probability ratio. The fractal dimensions have been measured a function of discharge number.

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Application of Fractal Geometry to Interfacial Electrochemistry - I. Diffusion Kinetics at 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.21-25
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    • 2001
  • This article is concerned with the application of the fractal geometry to interfacial electrochemistry. Especially, we dealt with diffusion kinetics at the fractal electrodes. This article first explained the basic concepts of the Sacral geometry which has proven to be fruitful for modelling rough and irregular surfaces. Finally this article examined the electrochemical responses to various signals under diffusion-limited reactions during diffusion towards the fractal interfaces: The generalised forms, including the fractal dimension of the electrode surfaces, of Cottrell, Sand and Randles-Sevcik equations were theoretically derived and explained in chronoamperomety, chronopotentiometry and linear sweep/cyclic voltammetry, respectively.

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.

Interpretation to Geomorphologic Parameters of Nash Model Based on Dynamic Fractal Dimensions of Channel Network (하천망의 동적 Fractal 차원을 기반으로 한 Nash 모형의 지형학적 매개변수에 대한 해석)

  • Zhang, Ning;Kim, Joo Cheol;Jung, Kwansue;Felix, Micah Lourdes
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.166-166
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    • 2022
  • 본 연구의 목적은 고전적 순간단위도 모형 중의 하나인 Nash 모형의 매개변수와 하천망의 동적 Fractal 차원 사이의 관계를 체계적으로 분석하여 해당 매개변수의 수문학적 의미를 추론해 보는 것이다. Nash 모형의 경우, GIUH 이론과의 결합을 통하여 Horton 비를 기반으로 한 두 매개변수의 지형학적 추정 방법이 일찍부터 제안되어 왔다 (Rosso, 1984; Bhunya, 2008). 특히 Liu(1992)는 2차원 자유 Euclidean 공간 내에서 percolation cluster 모형의 응집구조와 유역의 배수구조 사이의 비교를 통하여 하천망의 Fractal 차원을 정적 Fractal 차원과 동적 Fractal 차원으로 구분하고 양자의 수문학적 의미에 대하여 강조한 바 있다. 본 연구에서는 문헌 조사 (Morisawa, 1962; Marani et al., 1991; Rosso et al., 1991)를 통하여 수집한 비교적 신뢰성 있는 국외 하천망들에 관한 정보를 기반으로 Nash 모형의 매개변수와 하천망의 동적 Fractal 차원 사이의 관계를 분석해 보았다. 주요한 결과로서 Nash 모형의 형상 매개변수와 하천망의 Fractal 차원 사이에는 밀접한 상관관계가 존재함을 알 수 있었으며 이를 통하여 하천망의 Fractal 차원을 이용하여 해당 매개변수를 직접 추정할 수 있는 관계식을 제시할 수 있을 것으로 판단된다. 또한 분광 차원과 Nash 모형의 첨두 좌표 사이의 관계를 통하여 겉보기에서로 다른 유역들 사이에 존재할 수 있는 수문학적 상사성을 평가할 수 있는 기준의 수립 역시 본 연구과정을 통하여 제시할 수 있으로 판단된다. 후속 연구로서 국내외 다수 유역들에 대한 지형분석을 통하여 본 연구에서 얻은 결과의 보편성을 검정하고 수문학적 자료들에 대한 검증을 통하여 Nash 모형을 기반으로 한 다양한 수문학적 모형들의 개선 방안을 제시해 보고자 한다.

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A Point of View on the Use of Fractals in Art Therapy (미술치료에서 프랙탈의 활용방안에 관한 소고)

  • Lee, Hyun-Jee;Yeon, Ohk-Hyun
    • The Journal of the Korea Contents Association
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    • v.20 no.11
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    • pp.354-367
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    • 2020
  • This study is on the consideration of the scope of application of art therapy and fractal through the review of literature at home and abroad. The complex system is the opposite of the Euclidean system, a concept suitable for understanding the contemporaries with ambiguous boundaries and decentralized phenomena. The self-similarity and inventiveness of fractal, the geometry of nature, is used as fractal art in art as well as tree trunk, cloud and plant, especially in art therapy, fractal is considered to be available in the field of mandala and neuroscience. From brain-based research to mandala, exposure to natural patterns, clinical diagnosis through fractal analysis and software development, fractal has potential elements that can be developed in art therapy. Fractal, which is easy to link with computers due to its nature, is a necessary study at this point when non-face-to-face contact with the Corona virus is recommended. Currently, research on fractal art therapy is insufficient in Korea. Therefore, this research is intended to present as a basis for scientific and objective diagnostic tools and treatment at clinical sites using art therapy using fractal.

A Iterative-free Fractal Decoding Algorithm Based on Shared Initial Image (공유된 초기 영상에 기반한 무반복 프랙탈 복호 알고리즘)

  • 곽노윤;한군희
    • Proceedings of the Korea Contents Association Conference
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    • 2003.11a
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    • pp.328-332
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    • 2003
  • Since Jacquine introduced the image coding algorithm using fractal theory, many fractal image compression algorithms providing good quality at low bit rate have been proposed by Fisher and Beaumount et al.. But a problem of the previous implementations is that the decoding rests on an iterative procedure whose complexity is image -dependent. This paper proposes an iterative-free fractal image decoding algorithm to reduce the decoding time. In the proposed method, under the encoder previously with the same codebook image as an initial image to be used at the decoder, the fractal coefficients are obtained through calculating the similarity between the codebook image and a input image to be encoded. As the decoding process can be completed with received fractal coefficients and predefined initial image without repeated iterations, the decoding time could be remarkably reduced.

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