• Title/Summary/Keyword: Fractal structure

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New Block Encryption Algorithm FRACTAL with Provable Security against DC and LC (DC와 LC에 대해 안전성 증명 가능한 블록 암호 알고리즘 FRACTAL)

  • 김명환;이인석;백유진;김우환;강성우
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.12 no.1
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    • pp.67-80
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    • 2002
  • In this article, a new block encryption algorithm FRACTAL is introduced. FRACTAL adopts 8-round Feistel structure handling 128 hit inputs and keys. Furthermore, FRACTAL possesses the provable security against DC and LC, which are known to he the most powerful attacks on block ciphers.

A Study on the Anisotropy of Machined Surfaces (기계 가공면의 이방성에 관한 연구)

  • Cho, Nahm-Gyoo;Choi, Han-Yong
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.11
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    • pp.234-242
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    • 1999
  • In this paper, a method for assessment of the anisotropic machined surfaces is proposed. Fractal dimension (FD) is calculated using structure function and an index of the anisotropy is obtained as a ratio of its maximum and minimum value. The upper limit of fractal region on the structure function is determined as the length of the lag where the autocorrelation function shows 20% of its maximum value. The model of the structure function is derived from that of the auto correlation function. And, it shows that the new method and the proposed index of anisotropy are useful.

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Design of Novel Wiggly Directional Coupler with the Fractal Coupled Sections for Improving Coupling

  • Hong, Ic-Pyo
    • Journal of information and communication convergence engineering
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    • v.6 no.1
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    • pp.55-58
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    • 2008
  • In this paper, the new type wiggly directional coupler which uses the fractal coupled shape in coupled sections is presented. A commercial software has been used to analyze this new structure and the simulation results are compared to those of the conventional wiggly directional coupler. To verify the simulation results, the new type wiggly directional coupler was fabricated with the center frequency of 15GHz. The measurement results shows that the coupling of new structure proposed in this paper is more than that of conventional wiggly coupler. The results in this paper also show that the fractal shape coupled lines in wiggling sections can improve the coupling characteristics in wiggly directional coupler.

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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Quantitative assessment of offshore wind speed variability using fractal analysis

  • Shu, Z.R.;Chan, P.W.;Li, Q.S.;He, Y.C.;Yan, B.W.
    • Wind and Structures
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    • v.31 no.4
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    • pp.363-371
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    • 2020
  • Proper understanding of offshore wind speed variability is of essential importance in practice, which provides useful information to a wide range of coastal and marine activities. In this paper, long-term wind speed data recorded at various offshore stations are analyzed in the framework of fractal dimension analysis. Fractal analysis is a well-established data analysis tool, which is particularly suitable to determine the complexity in time series from a quantitative point of view. The fractal dimension is estimated using the conventional box-counting method. The results suggest that the wind speed data are generally fractals, which are likely to exhibit a persistent nature. The mean fractal dimension varies from 1.31 at an offshore weather station to 1.43 at an urban station, which is mainly associated with surface roughness condition. Monthly variability of fractal dimension at offshore stations is well-defined, which often possess larger values during hotter months and lower values during winter. This is partly attributed to the effect of thermal instability. In addition, with an increase in measurement interval, the mean and minimum fractal dimension decrease, whereas the maximum and coefficient of variation increase in parallel.

Knitwear design with fractal formative characteristics (프랙탈 조형특성을 적용한 니트웨어 디자인)

  • Lee, Yoon Mee
    • The Research Journal of the Costume Culture
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    • v.29 no.4
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    • pp.522-537
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    • 2021
  • The purpose of this study is to develop a knitwear design with the potential for practical use through a combination of science and design by examining the concept and formative characteristics of fractal geometry and applying them to the development of 3D virtual clothing knitwear design. This study produced five main conclusions. First, the sub-concepts of "Repeatability," "Scale variability," and "complexity," which are based on self-similarity, appear together with simple regularity in the fractal formative characteristics shown in fashion design. Second, fashion fields apply fractal geometry in three-dimensional surface textures and optical textile patterns as a method of expression. Third, it was confirmed that various expressions can be created with fractal patterns by using the SDS-ONE APEX 3-4 design system; moreover, fractal patterns are a suitable design source for the development of Jacquard knitwear patterns. Fourth, in the development of knitted jacquard fractal patterns, by arranging the patterns in perspective, the effect of emphasizing or reducing the human body by optical illusion was shown. Fifth, a knit Jacquard structure with a pattern that exhibits fractal modeling characteristics and applying it to a 3D virtual clothing sample design reduces the time required for sample production while expanding the knit design's expression area and reducing costs. Thus, the clothing sample confirmed the effectiveness of practical knitwear design development.

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.

Application of Fractal Dimension for Rubbed Surface Morphology of Hydraulic Members

  • Luy, M.R.;Jun, S.J.;Cho, Y.S.;Park, H.S.
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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    • pp.257-258
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    • 2002
  • The surface morphology of oil-lubricated surface for hydraulic piston motor is believed to be extremely effective in contact mechanics. adhesion. friction and wear. In order to describe morphology of various rubbed surface on driving condition, the wear test was carried out under different experimental conditions in oil-lubricated system. And fractal descriptors was applied to rubbed surface of hydraulic members with image processing system. These descriptors to analyze surface structure are fractal dimension. Surface fractal dimension can be determined by sum of intensity difference of surface pixel. Morphology of rubbed surface can be effectively obtained by fractal dimension.

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Fractal Dimension for Morphology Analysis of Rubbed Surface with Hydraulic Members

  • Cho, Yon-Sang;Seo, Young-Baek;Park, Heung-Sik
    • KSTLE International Journal
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    • v.3 no.2
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    • pp.75-78
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    • 2002
  • The surface morphology of oil-lubricated surfaces fer hydraulic piston motors is believed to be extremely effective in contact mechanics, adhesion, friction and weak In order to describe morphology of various rubbed surfaces on driving conditions, the wear test was carried out under different experimental conditions in an oil-lubricated system. And fractal descriptors were applied to rubbed surfaces of hydraulic members and analyzed through an image processing system. These descriptors to analyze surface structure are fractal dimension. Surface fractal dimensions can be determined by sum of intensity difference of surface pixel. The morphology of rubbed surfaces can be effectively obtained by fractal dimension.

Characterization of Trabecular Bone Structure using 2D Fourier Transform and Fractal Analysis (Fractal dimension과 2차원 푸리에변환을 이용한 수질골의 특성화에 관한 실험적 연구)

  • Lee Keon Il
    • Journal of Korean Academy of Oral and Maxillofacial Radiology
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    • v.28 no.2
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    • pp.339-353
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    • 1998
  • The purpose of this study was to investigate whether a radiographic estimate of osseous fractal dimension and power spectrum of 2D discrete Fourier transform is useful in the characterization of structural changes in bone. Ten specimens of bone were decalcified in fresh 50 ml solutions of 0.1 N hydrochloric acid solution at cummulative timed periods of 0 and 90 minutes. and radiographed from 0 degree projection angle controlled by intraoral parelleling device. I performed one-dimensional variance. fractal analysis of bony profiles and 2D discrete Fourier transform. The results of this study indicate that variance and fractal dimension of scan line pixel intensities decreased significantly in decalcified groups but Fourier spectral analysis didn't discriminate well between control and decalcified specimens.

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