• 제목/요약/키워드: FRACTAL

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A Study on Diverse Expression in Modern Fashion through the Principle of Fractal Geometry (프랙탈 기하학의 원리를 통한 현대 복식의 다의적 표현성에 대한 연구)

  • Um, So-Hee
    • The Research Journal of the Costume Culture
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    • 제18권4호
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    • pp.703-716
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    • 2010
  • The objective of the study is to analyze expressions of modern fashion in relation to design principle of a science theory, fractal geometry, in order to identify various and multi-layered expressions of fashion. As for methodology, the study interprets principle and characteristics of fractal geometry based on literature review in areas of linguistic, philosophy, sociology and science. The research identifies expressive characteristics of fractal through empirical studies, and applies them to fashion in order to analyze how fractal design principles are reflected in modern fashion in terms of form and significance. Fractal aesthetics pursue order, balance, diversity and openness among disorder and insecurity. They are closely related to the function of modern fashion that works as a multi-layered code, instead of being confined to conventional idea about fashion that "functions" as "wear."

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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    • 제37호
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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.

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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    • 제12권1호
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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.

FRACTAL DIMENSION ESTIMATION OF SINGULAR FUNCTIONS

  • Kim, Tae-Sik
    • Honam Mathematical Journal
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    • 제30권1호
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    • pp.137-146
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    • 2008
  • Many fractal objects observed in reality are characterized by some irregularities or complexities in their features. These properties can be measured and analyzed by means of fractal dimension. However, in many cases, the calculation of this value may not be so easy to utilize in applications. In this respect, we have treated a formal method to estimate the dimension of fractal curves.

Capability of Application of Fractal with Concrete Crack (콘크리트 균열에 대한 프랙탈 적용 가능성)

  • 구봉근;이재범;류연종;이현석
    • Proceedings of the Korea Concrete Institute Conference
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    • 한국콘크리트학회 2003년도 가을 학술발표회 논문집
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    • pp.347-350
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    • 2003
  • Fractal has the self-similar. It's character is used to explain the nature. The crack of the concrete is the nature appearance. So, we use the Fractal explain the character of crack of concrete. Many researchers study the Fractal. I study the many researcher's works and explain possibility of these works. We conducted a function that is the fractal fracture stress and finded some conclusions.

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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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    • 제7권5호
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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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Estimation of Fractal Dimension According to Stream Order in the leemokjung Subbasin (이목정 소유역의 하천차수를 고려한 프랙탈 차원의 산정)

  • Go, Yeong-Chan
    • Journal of Korea Water Resources Association
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    • 제31권5호
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    • pp.587-597
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    • 1998
  • Researchers have suggested that the fractal dimension of the stream length is uniform in all the streams of the basin and the estimates of the fractal dimension are in between 1.09 and 1.13 which may be considerably large values. In this study, the fractal dimension for the Ieemokjung subbasin streams in the Pyungchang River basin which is one of the IHP representative basins in Korea are estimated for each stream order using three scale maps of a 1/50,000, 1/25,000, and 1/5,000. As a result, the fractal dimension of the stream length is different by stream order and the fractal dimension of all streams shows a lower value in comparison to that of the previous studies. As a result of the fractal dimension estimation for the Ieemokjung subbasin streams, we found that the fractal dimension of the stream length shows different estimates in stream orders. The fractal dimension of 1st and 2nd order stream is 1.033, and the fractal dimension of 3rd and 4th order stream is 1.014. This result is different from the previous studies that the fractal dimension of the stream length is uniform in all streams of the basin. The fractal dimension for a whole stream length is about 1.027. Therefore, the previous estimates of 1.09 and 1.13 suggested as the fractal dimension of the stream length may be overestimated in comparison with estimated value in this study.

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The Analysis of Terrain and Topography using Fractal (프랙탈 기법에 의한 지형의 특성분석)

  • Kwon, Kee-Wook;Jee, Hyung-Kyu;Lee, Jong-Dal
    • Journal of the Korean association of regional geographers
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    • 제11권6호
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    • pp.530-542
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    • 2005
  • In this study, GIS method has been used to get fractal characteristics. Using the projected area and surface area, 2 dimensional fractal characteristic of terrain was found out. Correlation of fractal dimension and mean slope were also checked over. Results are as below. 1) To get a fractal dimension, the method which is using the surface area is also directly proportional to complexity of the terrain as other fractal dimension. 2) Fractal dimensions using the surface area, that is proposed in this thesis are carried out as below : Uiseong : $2.02{\sim}2.15$ Yeongcheon : $2.10{\sim}2.24$. These values are in a range of fractal $2.10{\sim}2.20$ dimensions which has known. 3) Correlation of mean slope and fractal dimension is diminished about 30% in a region which is more than $25^{\circ}$ of mean slope. So, in this region using the fractal dimension method is better than using the mean slope. From this study, on formula using the projected area and surface area is still good to get a fractal dimension that has been found. But to confirm this method the region of research should be wider and be set up the correlation of mean slope, surface area and fractal dimension. It can be applicable to restoration of terrain and traffic flow analysis in the future research.

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Plan-coordination architecture for Multi-agent in the Fractal Manufacturing System (FrMS) (프랙탈 생산 시스템에서의 멀티에이전트를 위한 플랜 조율 체계)

  • Cha, Yeong-Pil;Jeong, Mu-Yeong
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 한국경영과학회/대한산업공학회 2005년도 춘계공동학술대회 발표논문
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    • pp.1124-1128
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    • 2005
  • In this paper, a plan-coordination architecture is proposed for multi-agent control in the fractal manufacturing system (FrMS). A fractal in FrMS is a set of distributed agents whose goal can be achieved through cooperation, coordination, and negotiation with other agents. Since each agent in the FrMS generates, achieves, and modifies its own plan fragments autonomously during the coordination process with other agents, it is necessary to develop a systematic methodology for the achievement of global plan in the manufacturing system. The heterarchical structure of the FrMS provides a compromised plan-coordination approach, it compromise a centralized plan-generation/execution (which mainly focuses on the maximization of throughput) with a distributed one (which focuses on the autonomy of each module and flexibility of the whole system). Plan-coordinators in lower level fractal independently generate plan fragments according to the global plan of higher level fractal, and plan-coordinators in higher level fractal mediate/coordinate the plan fragments to enhance the global performance of the system. This paper assumes that generation method of the plan fragments and the negotiation policy of the fractal is achieved by a simple process, and we mainly focuses on the information exchanging and distributed decision making process to coordinate the combinations of plan fragments within a limited exchange of information.

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Vowel Recognition Using the Fractal Dimension (프랙탈 차원을 이용한 모음인식)

  • 최철영;김형순;김재호;손경식
    • The Journal of Korean Institute of Communications and Information Sciences
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    • 제19권6호
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    • pp.1140-1148
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    • 1994
  • In this paper, we carried out some experiments on the Korean vowel recognition using the fractal dimension of the speech signals. We chose the Minkowski-Bouligand dimension as the fractal dimension, and computed it using the morphological covering method. For our experiments, we used both the fractal dimension and the LPC cepstrum which is conventionally known to be one of the best parameters for speech recognition, and examined the usefulness of the fractal dimension. From the vowel recognition experiments under various consonant contexts, we achieved the vowel recognition error rates of 5.6% and 3.2% for the case with only LPC cepstrum and that with both LPC cepstrum and the fractal dimension, respectively. The results indicate that the incorporation of the fractal dimension with LPC cepstrum gives more than 40% reduction in recognition errors, and indicates that the fractal dimension is a useful feature parameter for speech recognition.

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