• Title/Summary/Keyword: Chaos/Fractal

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The Pattern Recognition System Using the Fractal Dimension of Chaos Theory

  • Shon, Young-Woo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.15 no.2
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    • pp.121-125
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    • 2015
  • In this paper, we propose a method that extracts features from character patterns using the fractal dimension of chaos theory. The input character pattern image is converted into time-series data. Then, using the modified Henon system suggested in this paper, it determines the last features of the character pattern image after calculating the box-counting dimension, natural measure, information bit, and information (fractal) dimension. Finally, character pattern recognition is performed by statistically finding each information bit that shows the minimum difference compared with a normalized character pattern database.

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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    • v.1 no.1
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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.

A Study on Architectural Form Creation based on the Application of Fractal Geometry (프랙탈 기하학을 적용한 건축 형태생성에 관한 연구)

  • Kang, Hoon
    • Journal of The Korean Digital Architecture Interior Association
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    • v.9 no.3
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    • pp.15-23
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    • 2009
  • Chaos theory, qualitative study of unstable aperiodic behavior in deterministic nonlinear dynamical systems, is dominant paradigm in the twenty first century. Fractal geometry, as an expressed form of chaos, now influences many areas such as architecture, art, music, economics, literature, etc. The purpose of this study is to analyze fractal geometry and fractal formative elements in architectural design. There are scaling, superimposition, distortion, deformation and repetition in the fractal form generator that can be applied to design concept and process in architecture. This study shows fractal geometry can be the architectural form creation method. Fractal geometry similar to nature's patterned order can be provided endless possibilities for design analysis and methodology in architecture. Therefore the further study of fractal geometry should progress synthetically through the basis of the study.

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Construction fo chaos simulator for ultrasonic pattern recognition evaluation of weld zone in austenitic stainless steel 304 (오스테나이트계 스테인리스강 304 용접부의 초음파 형상 인식 평가를 위한 카오스 시뮬레이터의 구축)

  • Yi, Won;Yun, In-Sik;Chang, Young-Kwon
    • Journal of Welding and Joining
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    • v.16 no.5
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    • pp.108-118
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    • 1998
  • This study proposes th analysis and evaluation method of time series ultrasonic signal using the chaos feature extraction for ultrasonic pattern recognition. Features extracted from time series data using the chaos time series signal analyze quantitatively weld defects. For this purpose, analysis objective in this study is fractal dimension and Lyapunov exponent. Trajectory changes in the strange attractor indicated that even same type of defects carried substantial difference in chaosity resulting from distance shifts such as 0.5 and 1.0 skip distance. Such differences in chaosity enables the evaluation of unique features of defects in the weld zone. In quantitative chaos feature extraction, feature values of 4.511 and 0.091 in the case of side hole and 4.539 and 0.115 in the case of vertical hole were proposed on the basis of fractal dimension and Lyapunov exponent. Proposed chaos feature extraction in this study can enhances ultrasonic pattern recognition results from defect signals of weld zone such as side hole and vertical hole.

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

  • 박현신
    • Journal of the Korean Society of Costume
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    • v.38
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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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The Analysis on the Chaos/Fractal of Electrical Tree Generated at Power Cable (전력케이블에서 발생하는 전기트리의 Chaos/Fractal 해석)

  • Lim, Jang-Seob;Kim, Jin-Gook;Kim, Hyun-Jong;Lee, Jin
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.11b
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    • pp.19-22
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    • 2004
  • Growth of Electrical Tree Under 50Hz~60Hz high electric stress has been studied on the Occurrence of a Pattern, to the Progression Speed at Y axis of electrical Tree. CCD Images of evolving tree structures could be obtained in both systems. Electrical Treeing was found to occur reproducibly, but in a markedly different manner in the two morphologimlly different but chemically identical materials. For the measurement of Electrical Tree, a visual measurement with an optical microscope has been used to explain breakdown mechanism in High-voltage systems.

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A Study on the Anterior Creative Attributes of Chaos and Fratals and Their Applicability to Environmental Design (카오스, 프랙탈의 창조적 속성과 환경디자인에의 적용가능성에 관한 연구)

  • 김주미
    • Archives of design research
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    • v.13
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    • pp.235-255
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    • 1996
  • The world-view of a period or a society refers to the way it conceives of the order and governing principles of the universe. The ad and outcome of the crealive process of a designer reflect his or her world-view or value system. Contemporary students of design seem to find the traditional approach to art based upon the Euclidean logic rather redudive and confining and are trying to develop a new way of thinking and methodology, a new frame of reference. In this study, I am offering the chaos- and fractal theory, concepts drawn from science, as a new anchoring point for design. This approach makes use of the concept of chaos as the basis of a new, open system that enables a designer to find and generate numerous visual possibilities immanent in chaos. Likewise. fractal geometry is offering new concepts and vocabularies for the study of physical universe and design thinking, as well as bridging the gap between science and art. The number of structural possibilities fractal theory generates for environmental design seems to be virtually unlimiLl'd. In fine. this study places a great emphasis on the new approaches t() the environment we inhabit. which I hope will contribute to generating a greater number of creative possibililil:s for environmental design.

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Construction of Chaos Simulator for Cutting Characteristics Evaluation of Non-Ferrous Metals (비철금속의 절삭성 평가를 위한 카오스 시뮬레이터의 구축)

  • 이종대;윤인식
    • Journal of the Korean Society of Safety
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    • v.18 no.3
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    • pp.22-28
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    • 2003
  • This study proposes the construction of chaos simulator for cutting characteristics evaluation of non-ferrous metals. Also this paper aims to find the optimal cutting conditions of diamond turning machine by measuring surface form and roughness to perform the cutting experiment of non-ferrous metals, which are aluminum, with diamond tool. As well, according to change cutting conditions such as fled rate, using diamond turning machine to perform cutting processing, by measuring cutting force and surface roughness and according to cutting conditions the aluminum about cutting properties. Trajectory changes in the attractor indicated a substantial difference in fractal characteristics. Constructed chaos simulator in this study can be used for cutting characteristics evaluation of non-ferrous metals.

Verification on Chaotic Behavior of Cutting Force in Metal Cutting (절삭가공시 절삭력 신호의 카오스적거동에 관한 규명)

  • 구세진
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1996.10a
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    • pp.96-100
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    • 1996
  • So far the analysis and modeling of cutting process is studied commonly assumed as being linear stochastic or chaotic without experimental verification. So we verified force signals of cutting process(ball end-milling) is low-dimensional chaos by calculating Lyapunov Exponents. reconstructing attractor using time delay coordinates and calcula-ting it's fractal dimension.

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The New Estimation Methods for Outdoor MV Class Equipment Using Chaos/Fractal Mathematics (Chaos/Fractal 수학을 이용한 옥외용 설비의 정량적 평가법 제안)

  • Kim, Jin-Gook;Lim, Jang-Seob;Kim, Hyun-Jong;Lee, Jin;Song, Il-Keun;Lee, Jae-Bong
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.11a
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    • pp.567-570
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    • 2003
  • Fractal mathematics is being highlighted as a research method for classification of image. But the application of Fractal dimension(FD) has been required the complicated calculation method because of its complex repetition progressing. In this paper, it has been developed the new approach method to express the Fractal Dimension(FD) for aging level calculation and estimation system of outside insulator using special image processing algorithm. As a result after FD testing, the recognized aging estimation of FD has a very characteristics compared to the conventional visual inspection.

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