• 제목/요약/키워드: Fractal Theory

검색결과 138건 처리시간 0.035초

카오스.프랙탈적 사고에 기초한 의상의 해체 경향에 관한 연구-작품사례 분석을 중심으로- (A study on deconstruction of costume based on Chaos Fractal Theory-Focused on analysis examples of costumes work-)

  • 박현신
    • 복식
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    • 제38권
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    • pp.179-191
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    • 1998
  • On this thesis, the focus is that studying costumes which have been affected by deconstructionism that is based on chaos and fractal the-ory. Chaos and fractal theory is accepted as a new paradigm for open world which is changing very vast and fast. And this theory is needed for artists and designers who should have spacetime conciousness and open mind and attitude towark open world. In the results, various costume typess of deconstructionism have been shown by fashion designers and artists' works. Thoes are as follows; 1. normal relationship of costume changes to abnormal relationship 2. three-dimentional structure of costume changes to two-dimentional structure. 3. open to materials and techniques. 4. separated costume parts reconstruct as ambiguous whole on function. 5. body absence and accessorizing.

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A Study on the Fractal Attractor Creation and Analysis of the Printed Korean Characters

  • Shon, Young-Woo
    • Journal of information and communication convergence engineering
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    • 제1권1호
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    • pp.53-57
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    • 2003
  • Chaos theory is a study researching the irregular, unpredictable behavior of deterministic and non-linear dynamical system. The interpretation using Chaos makes us evaluate characteristic existing in status space of system by tine series, so that the extraction of Chaos characteristic understanding and those characteristics enables us to do high precision interpretation. Therefore, This paper propose the new method which is adopted in extracting character features and recognizing characters using the Chaos Theory. Firstly, it gets features of mesh feature, projection feature and cross distance feature from input character images. And their feature is converted into time series data. Then using the modified Henon system suggested in this paper, it gets last features of character image after calculating Box-counting dimension, Natural Measure, information bit and information dimension which are meant fractal dimension. Finally, character recognition is performed by statistically finding out the each information bit showing the minimum difference against the normalized pattern database. An experimental result shows 99% character classification rates for 2,350 Korean characters (Hangul) using proposed method in this paper.

공간디자인에 적용된 프랙탈 특성의 인지생태론적 효과 - 랜드스케이프 패턴을 중심으로 - (Fractal Properties and Cognitive Ecological effects in Space Design - Focused on Landscape Pattern -)

  • 김주미
    • 한국실내디자인학회논문집
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    • 제20권2호
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    • pp.120-130
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    • 2011
  • The purpose of this study is to propose cognitive ecological effects of fractal patterns in space design. This study investigated the perception and cognition problems regarding landscape patterns showing fractal properties from the cognitive perspective instead of the traditional speculative approach. In particular, the researcher has verified that fractal geometry theory and fractal pattern concept provide insight in space aesthetic values and cognitive effects. Research results are as follows. First, most environmentally-friendly fractal urban forms provide cognitive connectivity. In particular, this space provides a positive emotional response and preference to humans and displays self-organized complexity. This study found that such complexity of space form has characteristics corresponding to parallel cognitive structures of the human brain. Simultaneously, the researcher suggests that the fractal landscape pattern is an alternative for stiff and homogenized modern space. Second, fractal patterns provide hierarchical connectivity within the brain through continuous difference and repetition. In particular, self-similarities of fractal patterns administer significant visual grouping and coherence in human perception. It can be determined whether scaling coherence facilitates easier organization in cognitive organization. Third, fractal patterns in space design provide the basic method for achieving the connection between concept, construction, and urban factors. As a result, the researcher has suggested that scale distribution of geometrical factors, such as fractal patterns, an be a design method to connect various space typologies.

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

  • 엄소희
    • 복식문화연구
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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."

에셔(M. C. Escher) 작품의 프랙탈 속성에 관한 연구 (A Study on the Attributes of Fractal on M.C. Escher′s Works)

  • 류시천;윤찬종
    • 디자인학연구
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    • 제15권1호
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    • pp.5-14
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    • 2002
  • Fractal which was named by Mandelbrot in 1975 and its theory have been taken notice of many fields of scholarship, namely mathematics, physics, geography, architecture, art, philosophy and so on. If we approach Fractal on the basis of the designing cogitation, it can be used not only as one of materials to take a crease thinking in design, also as a due of the methods to assess the design problem with a new point of view. Based on above background, in this study, it was studied on the graphic artist, Morits Collelius Escher who has been well known as the great artist of illusion," and on the attributes of Fractal which were contained in his various work\ulcorner As a reset, the four attributes, namey ′fractal dimension′, ′self-similarity, ′recursiveness′and ′infinity were founded in his works. Also, it was founded that Escher had employed the attributes of Fractal in his almost works for "the representation of the condition of unified-duality," that is to say, for the union of two different dimensions. After this, it is expected that this study shoed be extended to the development of the principle of Fractal-Design on the basis of ′Fractal which can be defined as the phenomenon of repetitious pattern between chaos and order and′the formative beauty of Fractal′.

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Fractal kinetic characteristics of uranium leaching from low permeability uranium-bearing sandstone

  • Zeng, Sheng;Shen, Yuan;Sun, Bing;Tan, Kaixuan;Zhang, Shuwen;Ye, Wenhao
    • Nuclear Engineering and Technology
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    • 제54권4호
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    • pp.1175-1184
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    • 2022
  • The pore structure of uranium-bearing sandstone is one of the critical factors that affect the uranium leaching performance. In this article, uranium-bearing sandstone from the Yili Basin, Xinjiang, China, was taken as the research object. The fractal characteristics of the pore structure of the uranium-bearing sandstone were studied using mercury intrusion experiments and fractal theory, and the fractal dimension of the uranium-bearing sandstone was calculated. In addition, the effect of the fractal characteristics of the pore structure of the uranium-bearing sandstone on the uranium leaching kinetics was studied. Then, the kinetics was analyzed using a shrinking nuclear model, and it was determined that the rate of uranium leaching is mainly controlled by the diffusion reaction, and the dissolution rate constant (K) is linearly related to the pore specific surface fractal dimension (DS) and the pore volume fractal dimension (DV). Eventually, fractal kinetic models for predicting the in-situ leaching kinetics were established using the unreacted shrinking core model, and the linear relationship between the fractal dimension of the sample's pore structure and the dissolution rate during the leaching was fitted.

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

  • 조재철;박계춘;홍경진
    • 한국전기전자재료학회논문지
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    • 제15권4호
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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/$\textrm{m}^2$.

Research on the Application of Fractal Geometry in Digital Arts

  • Xinyi Shan;Jeanhun Chung
    • International Journal of Internet, Broadcasting and Communication
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    • 제15권2호
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    • pp.175-180
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    • 2023
  • Fractal geometry, a relatively new branch of mathematics, was first introduced by Benoit Mandelbrot in 1975. Since then, its applications have expanded into various fields of natural science. In fact, it has been recognized as one of the three significant scientific discoveries of the mid-20th century, along with the Dissipative System and Chaos Theory. With the help of fractal geometry, designers can create intricate and expressive artistic patterns, using the concept of self-similarity found in nature. The impact of fractal geometry on the digital art world is significant and its exploration could lead to new avenues for creativity and expression. This paper aims to explore and analyze the development and applications of fractal geometry in digital art design. It also aims to showcase the benefits of applying fractal geometry in art creation and paves the way for future research on sacred geometry.

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

  • 곽성호;유민준;이인권
    • 한국HCI학회:학술대회논문집
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    • 한국HCI학회 2008년도 학술대회 1부
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    • pp.618-622
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    • 2008
  • 본 논문에서는 프랙탈 이론을 이용한 새로운 자동 작곡 알고리즘을 제안한다. 사용자는 L-System에서 시작 상태 및 생성 규칙들을 설정함으로써 다양한 프랙탈 형태를 정의 및 조정할 수 있다. 본 연구에서는 먼저 L-System과 확률을 이용하여 비대칭인 프랙탈 트리를 생성한다. 그리고 생성된 프랙탈 트리의 이미지를 기반으로 음악화 기법을 이용하여 음악을 생성한다. 본 논문에서는 다음 두 가지 방법을 소개한다. 첫째로, 이미지의 x축과 y축을 음의 크기와 음정으로 매핑하여 단선율 음악을 생성한다. 둘째로, 이미지의 x축과 y축을 시간과 음정으로 매핑하여 다성음악을 생성한다. 본 논문에서 제시하는 방법을 이용하여 사용자는 프랙탈의 재귀적인 특징이 반복성으로 나타나는 음악을 생성할 수 있으며, 프랙탈 트리의 모습을 음악적 구조로 갖는 음악을 생성할 수 있다.

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

  • 이기욱;곽노윤
    • 한국산학기술학회논문지
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    • 제4권4호
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    • pp.434-440
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    • 2003
  • Jacquin에 의해 프랙탈 이론을 이용한 영상 부호화 기법이 소개된 이래로, Fisher와 Beaumont 등에 의하여 낮은 비트율에서도 우수한 화질을 제공하는 프랙탈 영상 압축 기법들이 다수 제안되었다. 그러나 기존에 고안된 기법들이 갖고 있는 하나의 문제점은 복호화가 반복 처리를 통해 구현되며 그 복잡도가 각각의 영상에 따라 상이하다는 것이다. 본 논문에서는 복호 시간을 단축시키기 위해 반복 변환이 필요 없는 프랙탈 영상 복호 알고리즘을 제안하고자 한다. 제안된 방법은 복호기에서 사용할 초기 영상과 동일한 코드북 영상을 부호기에 보유하고 있는 상태에서 부호화 과정에서는 이 코드북 영상과 부호화하려는 영상의 유사성을 찾아 프랙탈 계수를 구한다. 이후, 복호화 과정에서는 수신된 프랙탈 계수와 기설정된 초기 영상을 이용하여 반복 변환 없이 한 번에 영상을 복호함으로써 복호 시간을 현저하게 단축시킬 수 있었다.

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