• Title/Summary/Keyword: 프랙탈 패턴

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Fractal Analysis of the Carbonization Pattern Formed on the Surface of a Phenolic Resin (페놀수지 표면에 형성된 탄화패턴에 대한 프랙탈 해석)

  • Kim, Jun-Won;Park, Sang-Taek;Roh, Young-Su
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.24 no.1
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    • pp.124-129
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    • 2010
  • When a phenolic resin is carbonized by the leakage current flowing along its surface, the carbonization pattern is one of the most important factors to determine its carbonization characteristics. However, the typical carbonization pattern of a phenolic resin is too complicated to be analyzed by conventional Euclidean geometry. In most cases, such a complicated shape shows a fractal structure. It is possible, therefore, to examine the characteristics of the carbonization pattern regarding a given phenolic resin. In order to quantitatively investigate the carbonization pattern of the phenolic resin carbonized by a leakage current, in this paper, the fractal dimension of the carbonization pattern has been calculated as a function of the magnitude of a leakage current and the distance between two electrodes. For reliability of calculation, the correlation function as well as the box counting method has been used to calculate the fractal dimension. According to the result of calculation, the fractal dimension increases as the current increases at the constant electrode gap distance. However, there is no significant relation between the fractal dimension and the electrode gap distance at a constant current.

A Study on Fractal Monopole Antenna with Hexagonal Symmetrical Pattern (육각형 대칭 패턴 프랙탈 모노폴 안테나에 대한 연구)

  • Chang, Tae-Soon;Kang, Sang-Won
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.22 no.1
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    • pp.121-126
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    • 2022
  • This study is about an antenna implemented in the form of a monopole having a hexagonal symmetric pattern by simplifying the modified Hilbert curve fractal monopole structure. The modified Hilbert curve fractal monopole structure was simplified and miniaturized, and the radiator was implemented in a hexagonal symmetrical pattern to improve performance. The dielectric constant of substrate is 4.7, and the total line length with a meander-shaped symmetrical structure is 59 mm. The size of the antenna is 10 mm × 10 mm × 0.8 mm, and the line width is 0.4 mm. The size of the antenna measuring jig is 64 mm × 21 mm × 1 mm. The resonant frequency is 1.57 GHz, and the frequency range is 1.51 to 1.615 GHz. The frequency bandwidth is 105 MHz. As for the antenna gain, the measurement gain of the YZ-plane was 2.32 dBi, and that of the XZ-plane was -1.03 dBi. As a result, we confirmed that antenna miniaturization is possible using a hexagonal symmetric pattern fractal structure. In addition, we confirmed that the antenna performance can be easily improved by changing the structure of the radiator.

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.

Interior Surface Design by Fractal Pattern (프랙탈 패턴에 의한 인테리어 표면디자인)

  • Kim, Joo-Mi
    • Proceedings of the Korean Institute of Interior Design Conference
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    • 2008.05a
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    • pp.36-38
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    • 2008
  • The purpose of the study is to propose a new surface design concepts within fractal pattern. In this study, I am offering the fractal concepts drawn from science, as a new anchoring point for surface design. Fractal Patterns are generated by transforming a seed slab into a number of constituent elements through fractal operations of rotation, scaling and linear transformations. These elements are bound together as a second generation seed shape which is reiterated according to the same transformations. This process continues for as many generations as desired. In conclusion, this study places a great emphasis on the natural pattern order to the surface generation, which I hope will contribute to generating a number of creative possibilities for interior design.

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Fractal Microstrip patch Antenna Design and Fabrication for WLAN/WiMax Applications (WLAN/WiMax용 프랙탈 마이크로스트립 패치 안테나설계 및 제작)

  • Kim, Kab-Ki
    • Journal of Advanced Navigation Technology
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    • v.15 no.6
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    • pp.1008-1014
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    • 2011
  • In this paper, multi-band fractal microstrip patch antenna which is possible for WLAN band and WiMax band is designed and made. For multi-resonance of developed antenna, resonance frequency, impedance matching, polarity and reflection pattern can mad perfectly, then to make satisfied multi-independent frequency three kind of half circle fractal patch is inserted. In the situation continuously happening half circle in designed structure, antennas one of half-circle band is shown.

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.

An Efficient Iris Recognition System using Fractal Image Compression (프랙탈 영상압축을 이용한 효율적 홍채인식 시스템)

  • Lee, Yoon-Seok;Moon, Sung-Rim;Shin, Bong-Gun;Wee, Young-Cheul;Kim, Dong-Yoon
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.11b
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    • pp.925-927
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    • 2005
  • 홍채 인식(Iris Recognition)은 동공과 흰자위 사이에 있는 홍채의 모양 패턴이 평생 변하지 않고, 사람마다 다른 패턴을 가진다는 특성을 이용하여 개인을 식별하는 기술로, 생체인식(Biometrics) 부분에서는 탁월한 식별력 및 신뢰성을 인정 받고 있다. 상당수의 기존 연구들은 원천 특허를 채택한 상태에서 성능 개선을 연구해 왔기 때문에 원천적인 한계를 가지고 있었다. 본 논문은 웨이블릿(Wavelet) 변환을 이용하여 특징을 추출하는 기존 방식과 다르게 프랙탈(Fractal) 방법으로 압축된 다수의 원 영상에 대해 입력된 영상의 유사도를 측정, 개인을 식별하는 새로운 홍채인식 방법을 제안한다. 이를 통해 타 연구들에서 제안했던 특별한 최적화 알고리즘을 사용하지 않고도 크게 떨어지지 않는 인식률을 얻을 수 있다.

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The Design Principles and Expressive Characteristics Based on Fractal Concepts - Focused on Painting and Space Design - (프랙탈 개념에 기초한 조형원리와 표현특성 - 회화와 공간조형을 중심으로 -)

  • 김주미
    • Korean Institute of Interior Design Journal
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    • no.37
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    • pp.12-20
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    • 2003
  • The purpose of this study is to propose a new design principles and to analyze the pattern of art and architecture applying fractal concepts. As this study is based on fractal geometry as a natural science, 1 intented to explain the concepts and provide some methods of generating fractal properties. Two major aspects are discussed. Frist, fractals are geometric shapes that are self-similar, in other words, they iterate a basic shape at ever increasing a decreasing dimensions. Self-similarity, irregularity, and scaling are fundamental characteristics of fractal geometry. Second, the fractal concepts of art and design can be analyzed and used as a critical tool. In both criticism and design, fractals provides a tool In fine, fractal geometry can be provided endless possibilities for artists and designers intended in expressing the more complex underlying rhythms and organic patterns of nature.

A Note on the Hausdorff Dismensions (Hausdorff 차원에 관하여)

  • Kim, Yong Sung;Yoo, Heung Sang;Kang, Ji Ho
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.38
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    • pp.1-7
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    • 1996
  • 프랙탈이란 말은 라틴어 Fractus(부서진 상태를 뜻함)에서 유래되었으며, 1975년 Mandelbrot가 수학 및 자연계의 비정규적 패턴들에 대한 체계적 고찰을 담은 자신의 에세이의 표제를 주기 위해서 만들었다 (〔6〕). 프랙탈을 기술하는데 있어서 가장 중요한 양은 차원(dimension)으로 프랙탈 차원은 정수차원이 아닌 실수 차원을 갖는다. 이 논문에서는 box counting 차원, Hausdorff 차원, s-potential 및 s-energy등에 대한 정의를 하고 정리 2.8, 정리 3.1및 정리 3.2을 증명하고자 한다.

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