• 제목/요약/키워드: Fractal Theory

검색결과 138건 처리시간 0.027초

2D 이미지를 활용한 3차원 공간상의 안개효과 구현 (Implementation of Fog Effect on 3D Space Using 2D Image)

  • 김종성;서영상;박경남;류남훈;김응곤
    • 한국콘텐츠학회:학술대회논문집
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    • 한국콘텐츠학회 2007년도 추계 종합학술대회 논문집
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    • pp.889-893
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    • 2007
  • 현재 다양한 연구에서는 유체인 안개의 자연스런 표현을 위해 프랙탈과 카오스 이론을 적용한다. 이러한 연구로 적용할 수 있는 전문 툴들을 사용하는 것은 자연스러운 표현이 가능하기 때문이다. 그러나, 일반인은 이러한 것을 아직 쉽게 표현하기는 매우 어려운데 그것은 고비용과 전문가들을 필요로 하기 때문이다. 따라서 누구나 어렵고 복잡한 고가의 전문툴들과 전문적으로 프로그래밍 제작을 최소로 한 안개의 표현을 쉽게 할수 있도록 하는 것이 일반적인 과제들이다. 본 연구는 이러한 2D 이미지에 대한 유체의 표현연구를 구체화하는 것으로 다양한 이미지 표현이 전문방송에서 개인에 이르는 UCC까지 가능하도록 쉽게 구현하였다. 특히, 이 연구는 3D 공간에서 안개의 유체적인 표현이 가능하기 때문에 한국화를 3D와 같이 표현할 때 배경에 안개의 표현을 쉽게 할 수 있도록 하였다.

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알곤 이온빔 입사각에 따른 Polyethylene Naphthalate 필름 표면의 자가나노구조화 분석 (Effect of Argon Ion Beam Incident Angle on Self-Organized Nanostructure on the Surface of Polyethylene Naphthalate Film)

  • 조경환;양준영;변은연;박영배;정성훈;김도근;이승훈
    • 한국표면공학회지
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    • 제53권3호
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    • pp.116-123
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    • 2020
  • Ion beam irradiation induces self-organization of nanostructure on the surface of polymer film. We show that the incident angle of Ar ions on polyethylene naphthalate(PEN) film changes self-organized nanostructure. PEN film was irradiated by argon ion beams with the ion incident angle of 0°, 30°, 45°, 60°, and 80°. Nanostructure was altered from dimple to ripple structure as the angle increases. The ripple structure changed to pillar structure after 60°due to that the shallow incident angle increased the ion energy transfer per depth up to 50 eV/Å, which value could induce excessive surface heating and oligomer formation reacting as a physical mask for anisotropic etching. And quantitative analysis of the nanostructures was adapted by using ABC model and fractal dimension theory.

Research on the tightening strategy of bolted flange for contact stiffness of joint surface

  • Zuo, Weiliang;Liu, Zhifeng;Zhao, Yongsheng;Niu, Nana;Zheng, Mingpo
    • Structural Engineering and Mechanics
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    • 제83권3호
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    • pp.341-351
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    • 2022
  • During bolted flange assembly, the contact stiffness of some areas of the joint surface may be low due to the elastic interaction. In order to improve the contact stiffness at the lowest position of bolted flange, the correlation model between the initial bolt pre-tightening force and the contact stiffness of bolted flange is established in this paper. According to the stress distribution model of a single bolt, an assumption of uniform local contact stiffness of bolted flange is made. Moreover, the joint surface is divided into the compressive stress region and the elastic interaction region. Based on the fractal contact theory, the relationship model of contact stiffness and contact force of the joint surface is proposed. Considering the elastic interaction coefficient method, the correlation model of the initial bolt pre-tightening force and the contact stiffness of bolted flange is established. This model can be employed to reverse determine the tightening strategy of the bolt group according to working conditions. As a result, this provides a new idea for the digital design of tightening strategy of bolt group for contact stiffness of bolted flange. The tightening strategy of the bolted flange is optimized by using the correlation model of initial bolt pre-tightening force and the contact stiffness of bolted flange. After optimization, the average contact stiffness of the joint surface increased by 5%, and the minimum contact stiffness increased by 6%.

Dynamic failure features and brittleness evaluation of coal under different confining pressure

  • Liu, Xiaohui;Zheng, Yu;Hao, Qijun;Zhao, Rui;Xue, Yang;Zhang, Zhaopeng
    • Geomechanics and Engineering
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    • 제30권5호
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    • pp.401-411
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    • 2022
  • To obtain the dynamic mechanical properties, fracture modes, energy and brittleness characteristics of Furong Baijiao coal rock, the dynamic impact compression tests under 0, 4, 8 and 12 MPa confining pressure were carried out using the split Hopkinson pressure bar. The results show that failure mode of coal rock in uniaxial state is axial splitting failure, while it is mainly compression-shear failure with tensile failure in triaxial state. With strain rate and confining pressure increasing, compressive strength and peak strain increase, average fragmentation increases and fractal dimension decreases. Based on energy dissipation theory, the dissipated energy density of coal rock increases gradually with growing confining pressure, but it has little correlation with strain rate. Considering progressive destruction process of coal rock, damage variable was defined as the ratio of dissipated energy density to total absorbed energy density. The maximum damage rate was obtained by deriving damage variable to reflect its maximum failure severity, then a brittleness index BD was established based on the maximum damage rate. BD value declined gradually as confining pressure and strain rate increase, indicating the decrease of brittleness and destruction degree. When confining pressure rises to 12 MPa, brittleness index and average fragmentation gradually stabilize, which shows confining pressure growing cannot cause continuous damage. Finally, integrating dynamic deformation and destruction process of coal rock and according to its final failure characteristics under different confining pressures, BD value is used to classify the brittleness into four grades.

Wavelet Thresholding Techniques to Support Multi-Scale Decomposition for Financial Forecasting Systems

  • Shin, Taeksoo;Han, Ingoo
    • 한국데이타베이스학회:학술대회논문집
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    • 한국데이타베이스학회 1999년도 춘계공동학술대회: 지식경영과 지식공학
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    • pp.175-186
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    • 1999
  • Detecting the features of significant patterns from their own historical data is so much crucial to good performance specially in time-series forecasting. Recently, a new data filtering method (or multi-scale decomposition) such as wavelet analysis is considered more useful for handling the time-series that contain strong quasi-cyclical components than other methods. The reason is that wavelet analysis theoretically makes much better local information according to different time intervals from the filtered data. Wavelets can process information effectively at different scales. This implies inherent support fer multiresolution analysis, which correlates with time series that exhibit self-similar behavior across different time scales. The specific local properties of wavelets can for example be particularly useful to describe signals with sharp spiky, discontinuous or fractal structure in financial markets based on chaos theory and also allows the removal of noise-dependent high frequencies, while conserving the signal bearing high frequency terms of the signal. To date, the existing studies related to wavelet analysis are increasingly being applied to many different fields. In this study, we focus on several wavelet thresholding criteria or techniques to support multi-signal decomposition methods for financial time series forecasting and apply to forecast Korean Won / U.S. Dollar currency market as a case study. One of the most important problems that has to be solved with the application of the filtering is the correct choice of the filter types and the filter parameters. If the threshold is too small or too large then the wavelet shrinkage estimator will tend to overfit or underfit the data. It is often selected arbitrarily or by adopting a certain theoretical or statistical criteria. Recently, new and versatile techniques have been introduced related to that problem. Our study is to analyze thresholding or filtering methods based on wavelet analysis that use multi-signal decomposition algorithms within the neural network architectures specially in complex financial markets. Secondly, through the comparison with different filtering techniques' results we introduce the present different filtering criteria of wavelet analysis to support the neural network learning optimization and analyze the critical issues related to the optimal filter design problems in wavelet analysis. That is, those issues include finding the optimal filter parameter to extract significant input features for the forecasting model. Finally, from existing theory or experimental viewpoint concerning the criteria of wavelets thresholding parameters we propose the design of the optimal wavelet for representing a given signal useful in forecasting models, specially a well known neural network models.

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Wavelet Thresholding Techniques to Support Multi-Scale Decomposition for Financial Forecasting Systems

  • Shin, Taek-Soo;Han, In-Goo
    • 한국지능정보시스템학회:학술대회논문집
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    • 한국지능정보시스템학회 1999년도 춘계공동학술대회-지식경영과 지식공학
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    • pp.175-186
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    • 1999
  • Detecting the features of significant patterns from their own historical data is so much crucial to good performance specially in time-series forecasting. Recently, a new data filtering method (or multi-scale decomposition) such as wavelet analysis is considered more useful for handling the time-series that contain strong quasi-cyclical components than other methods. The reason is that wavelet analysis theoretically makes much better local information according to different time intervals from the filtered data. Wavelets can process information effectively at different scales. This implies inherent support for multiresolution analysis, which correlates with time series that exhibit self-similar behavior across different time scales. The specific local properties of wavelets can for example be particularly useful to describe signals with sharp spiky, discontinuous or fractal structure in financial markets based on chaos theory and also allows the removal of noise-dependent high frequencies, while conserving the signal bearing high frequency terms of the signal. To data, the existing studies related to wavelet analysis are increasingly being applied to many different fields. In this study, we focus on several wavelet thresholding criteria or techniques to support multi-signal decomposition methods for financial time series forecasting and apply to forecast Korean Won / U.S. Dollar currency market as a case study. One of the most important problems that has to be solved with the application of the filtering is the correct choice of the filter types and the filter parameters. If the threshold is too small or too large then the wavelet shrinkage estimator will tend to overfit or underfit the data. It is often selected arbitrarily or by adopting a certain theoretical or statistical criteria. Recently, new and versatile techniques have been introduced related to that problem. Our study is to analyze thresholding or filtering methods based on wavelet analysis that use multi-signal decomposition algorithms within the neural network architectures specially in complex financial markets. Secondly, through the comparison with different filtering techniques results we introduce the present different filtering criteria of wavelet analysis to support the neural network learning optimization and analyze the critical issues related to the optimal filter design problems in wavelet analysis. That is, those issues include finding the optimal filter parameter to extract significant input features for the forecasting model. Finally, from existing theory or experimental viewpoint concerning the criteria of wavelets thresholding parameters we propose the design of the optimal wavelet for representing a given signal useful in forecasting models, specially a well known neural network models.

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최소자승법(最小自乘法)에 의(衣)한 고유(固有) Q와 산란(散亂) Q의 측정(測定) (Least-Square Fitting of Intrinsic and Scattering Q Parameters)

  • 강익범;;민경덕
    • 자원환경지질
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    • 제27권6호
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    • pp.557-561
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    • 1994
  • Quality factor Q 값은 처음 도착(倒着)한 P파(波)의 주기당(週期當) 에너지 손실(損失)을 주파수(周波數)의 함수(函數)로 직접(直接) 측정(測定)할 수 있다. 이때 관심(關心)의 대상(對象)이 되는 주파수대(周波數帶)(주로 1-100 Hz)내(內)에서 고유(固有) Q는 주파수(周波數)와 무관(無關)하고, 산란(散亂) Q는 주파수(周波數)와 밀접(密接)한 관계(關係)가 있다는 가정하(假定下)에 고유(固有) Q값과 산란(散亂) Q값의 전체(全體) Q값에 대(對)한 상대적(相對的)인 비솔(比率)을 계산(計算)할 수 있다. 이에 대(對)한 검증(檢證)은 탄성파(彈性波)가 점탄성(粘彈性)이고 부균질(不均質)한 매질(媒質)을 통과(通過)할 때의 합성탄성파(合成彈性波) 기록지(記錄紙)를 만들고 고유(固有) Q에 대(對)해서는 완화기구(緩和機具)(relaxation mechanism)가, 산란(散亂) Q에 대(對)해서는 산란(散亂)(satter)에 대(對)한 fractal 분포(分布)가 포함(包含)되는 pseudospectral 해(解)를 이용(利用)하여 실시(實施)될 수 있다. 대체로 S파(波)의 전체(全體) Q값이 P파(波)의 전체(全體) Q값보다 더 작다는 것이 정설(定說)로 되어있다. 역(逆)으로, 전체(全體) Q값은 합성탄성파(合成彈性波) 기록지(記錄紙)로 부터 최소자승법(最小自乘法)을 이용(利用)하여 구(求)할 수 있다. 이때 가정(假定)된 Q값의 절대값이 충분(充分)히 작아야만 P파(波)와 S파(波)의 고유(固有) Q값($Q_p$$Q_s$)의 가정(假定)은 신빙성(信憑性)이 높고 또한 유일(唯一)한 값을 가질 수 있다. 산란(散亂) Q값으로 부터 결정(決定)할 수 있는 매질(媒質)의 속도(速度)와 산란(散亂)의 크기에 대(對)한 표준편차(標准偏差)는 Blair의 수식(數式)에서 예측(豫測)할 수 있듯이 서로 상호보완관계(相互補完關係)에 있기 때문에 여러가지의 값을 가질 수 있다. 본(本) 연구결과에 의(依)하면, P파(波)에 있어서는 고유(固有) Q와 산란(散亂) Q가 모두 중요(重要)한 요소(要素)로 작용(作用)하며, S파(波)에 있어서는 고유(固有) Q가 산란(散亂) Q보다 더 중요(重要)한 요소(要素)로 작용(作用)한다.

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외상 후 병리에서 성장으로: 외상 후 성장 시계 (From Trauma To growth: Posttraumatic Growth Clock)

  • 이홍석
    • 인지과학
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    • 제27권4호
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    • pp.501-539
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    • 2016
  • 인간 정신은 외상 자극에 역동적으로 반응하여 다차원적 위계를 따라 진화적으로 발전하는 시스템이다. 평형상태에서 일원화되어 있는 정신 내에 외상 자극이 유입되면 그에 반대 쌍이 되는 반응 극성이 형성되어 이원화된다. 그 반대 쌍 사이에 초월적 상호작용이 일어나면 상위 차원에 제3의 극성이 출현하게 되어 정신은 삼위구조로 변형된다. 삼위 구조화된 정신에서는 비평형 상태가 극대화되어 가소성이 최대화됨에 따라 삼위 요인이 같은 기능을 하게 되는 동기화가 가능해지며 이로 인해 정신은 상위차원에서 다시 일원화된다. 만약 정신이 또 다시 새로운 자극을 받아들이게 되면 정신은 위의 위계적 변형과정을 따라 성장하게 된다. 이를 정신의 기본삼위체계의 동기화를 통한 순환적 성장과정이라 한다. 이번 이론 연구에서는 이 개념을 외상 후 성장 과정에 적용하여 외상 후 성장 시계를 제안하였다. 외상 후 성장 시계는 7개의 위계적 단계로 구성되어있으며 처음 6개의 단계들은 충격 대 마비, 공포 대 침습, 편집 대 회피, 강박 대 폭발, 불안 대 우울, 허무 대 의미추구 단계 등의 12분기로 구성되어 있고 마지막 7번째 단계에서는 이들 모든 단계들의 기능들이 동기화되는 거대 동기화 단계가 나타나게 된다. 거대 동기화 단계에서는 이전의 6 단계들로 구성된 개인 내의 생리-사회-실존 차원들 뿐 아니라 자아와 타아도 동기화를 통해 일원화됨으로써 자신의 외상경험 뿐 아니라 타인의 고통도 자신의 실제적 외상경험으로 작용하게 되어 정신은 상위 차원에서 또 다른 성장과정을 반복한다. 이 논문에서 제안된 외상 후 성장 시계의 변형과정에 대한 타당성을 Horowitz의 외상반응과정과 비교하여 논의하였다.