• Title/Summary/Keyword: Fractal Theory

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Design Principles of Fractal Geometry as Complex System (복잡계 구조로서 프랙탈 기하학의 조형원리)

  • Lim, Eun-Young
    • Proceedings of the Korean Institute of Interior Design Conference
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    • 2004.11a
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    • pp.195-196
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    • 2004
  • Fractal geometry based upon the latest complex theory shows different features of design pattern quite different from the past. It is not yet sure which kind of effects it would bring about in the future, we think that it would help to create various spaces and organic design vision. Therefore we will look into the significances and adaptabilities in space design by studying fractal design principles of today's new model in space design

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Compressive behavior of concrete under high strain rates after freeze-thaw cycles

  • Chen, Xudong;Chen, Chen;Liu, Zhiheng;Lu, Jun;Fan, Xiangqian
    • Computers and Concrete
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    • v.21 no.2
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    • pp.209-217
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    • 2018
  • The dynamic compressive behavior of concrete after freezing and thawing tests are investigated by using the split Hopkinson pressure bar (SHPB) technique. The stress-strain curves of concrete under dynamic loading are measured and analyzed. The setting numbers of freeze-thaw cycles are 0, 25, 50, and 75 cycles. Test results show that the dynamic strength decreases and peak strain increases with the increasing of freeze-thaw cycles. Based on the Weibull distribution model, statistical damage constitutive model for dynamic stress-strain response of concrete after freeze-thaw cycles was proposed. At last, the fragmentation test of concrete subjected to dynamic loading and freeze-thaw cycles is carried out using sieving statistics. The distributions of the fragment sizes are analyzed based on fractal theory. The fractal dimensions of concrete increase with the increasing of both freeze-thaw cycle and strain rate. The relations among the fractal dimension, strain rates and freeze-thawing cycles are developed.

Development of 433MHz RFID Tag Antenna using Fractal Theory (프랙탈 이론을 이용한 433MHz 대역의 RFID 태그 안테나 개발)

  • Park, Dong-Kook;Cho, Ik-Hyun;Yang, Gyu-Sik
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.3
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    • pp.420-426
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    • 2008
  • In this paper, we present RFID Tag Antenna at 433MHz which can be available for RFID system. The antenna is composed of microstrip type antenna, whose dimension could be reduced by applying fractal theory. Simulated return loss and gain at 433MHz are -20.9dB, -3dBi. But there are some deviation on the point of resonance frequency between simulated and measured results. By modifying the antenna's feeding point, we obtain - l5dB return loss and verify the utility of proposed antenna.

A Point of View on the Use of Fractals in Art Therapy (미술치료에서 프랙탈의 활용방안에 관한 소고)

  • Lee, Hyun-Jee;Yeon, Ohk-Hyun
    • The Journal of the Korea Contents Association
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    • v.20 no.11
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    • pp.354-367
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    • 2020
  • This study is on the consideration of the scope of application of art therapy and fractal through the review of literature at home and abroad. The complex system is the opposite of the Euclidean system, a concept suitable for understanding the contemporaries with ambiguous boundaries and decentralized phenomena. The self-similarity and inventiveness of fractal, the geometry of nature, is used as fractal art in art as well as tree trunk, cloud and plant, especially in art therapy, fractal is considered to be available in the field of mandala and neuroscience. From brain-based research to mandala, exposure to natural patterns, clinical diagnosis through fractal analysis and software development, fractal has potential elements that can be developed in art therapy. Fractal, which is easy to link with computers due to its nature, is a necessary study at this point when non-face-to-face contact with the Corona virus is recommended. Currently, research on fractal art therapy is insufficient in Korea. Therefore, this research is intended to present as a basis for scientific and objective diagnostic tools and treatment at clinical sites using art therapy using fractal.

Fractal Analysis of Urban Morphology Considering Distributed Situation of Buildings (건물분포를 고려한 도시형태의 프랙털(Fractal) 해석)

  • Moon, Tae-Heon
    • Journal of the Korean Association of Geographic Information Studies
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    • v.8 no.3
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    • pp.1-10
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    • 2005
  • The purpose of this paper is to conduct an experimental measurement and analysis of cities' morphology. Fractal theory that is an effective tool for evaluating self-similarity and complexity of objects was applied. For the comparative analysis of fractailities and computational verification, two totally different cities in Japan were selected. They are Kitakyushu City, which is a big and fully developed city, and Jinguu Machi of which almost all the area is covered with agricultural land use. After converting vector data to raster data within GIS, fractal dimensions of two cases in Kitakyushu City and one case in Jinguu Machi were calculated. The calculation showed that two parts of Kitakyushu City were already fractal. Jinguu Machi, however, was difficult to find fractality. As a conclusion, fractal was proved to be an useful tool to estimate the shape of cities reflecting their internal spatial structure, that is self-similarity and complexity.

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A Iterative-free Fractal Decoding Algorithm Based on Shared Initial Image (공유된 초기 영상에 기반한 무반복 프랙탈 복호 알고리즘)

  • 곽노윤;한군희
    • Proceedings of the Korea Contents Association Conference
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    • 2003.11a
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    • pp.328-332
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    • 2003
  • Since Jacquine introduced the image coding algorithm using fractal theory, many fractal image compression algorithms providing good quality at low bit rate have been proposed by Fisher and Beaumount et al.. But a problem of the previous implementations is that the decoding rests on an iterative procedure whose complexity is image -dependent. This paper proposes an iterative-free fractal image decoding algorithm to reduce the decoding time. In the proposed method, under the encoder previously with the same codebook image as an initial image to be used at the decoder, the fractal coefficients are obtained through calculating the similarity between the codebook image and a input image to be encoded. As the decoding process can be completed with received fractal coefficients and predefined initial image without repeated iterations, the decoding time could be remarkably reduced.

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Effects on Fractal Dimension by Automobile Driver's EEG during Highway Driving : Based on Chaos Theory (직선 고속 주행시 운전자의 뇌파가 프랙탈 차원에 미치는 영향: 카오스 이론을 중심으로)

  • 이돈규;김정룡
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.57
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    • pp.51-62
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    • 2000
  • In this study, the psycho-physiological response of drivers was investigated in terms of EEG(Electroencephalogram), especially with the fractal dimensions computed by Chaotic algorithm. The Chaotic algorithm Is well Known to sensitively analyze the non-linear information such as brain waves. An automobile with a fully equipped data acquisition system was used to collect the data. Ten healthy subjects participated in the experiment. EEG data were collected while subjects were driving the car between Won-ju and Shin-gal J.C. on Young-Dong highway The results were presented in terms of 3-Dimensional attractor to confirm the chaotic nature of the EEG data. The correlation dimension and fractal dimension were calculated to evaluate the complexity of the brain activity as the driving duration changes. In particular, the fractal dimension indicated a difference between the driving condition and non-driving condition while other spectral variables showed inconsistent results. Based upon the fractal dimension, drivers processed the most information at the beginning of the highway driving and the amount of brain activity gradually decreased and stabilized. No particular decrease of brain activity was observed even after 100 km driving. Considering the sensitivity and consistency of the analysis by Chaotic algorithm, the fractal dimension can be a useful parameter to evaluate the psycho-physiological responses of human brain at various driving conditions.

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A study of Fractal Image Compression with HV partition (HV 분할 방식을 이용한 fractal 영상 압축에 관한 연구)

  • Lee, Moon-Jik;Chung, Chin-Hyun
    • Proceedings of the KIEE Conference
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    • 1998.07g
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    • pp.2240-2242
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    • 1998
  • Image coding based on fractal theory presents highly compressed image. In this paper, we discuss about compression of Image using HV partition method. HV partition scheme devides the image adaptively in horizontal and vertical axis. And for reducing the enconding time for the domain-range comparison, we use classification scheme, which uses the order of brightness of the rectangular portion of the image. This paper focused on the technique to reduce coding time which is a problem in traditional fractal compression by adaptive selection of image and its classification method.

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Estimation of Urbanization Factor in Wargame Model using Fractal Dimension (Fractal 차원을 이용한 워게임에서의 도시화조정계수 추정)

  • Ojeong Kwon;Jaeoh Kim;Dongchul Kim;Namsuk Cho
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.46 no.1
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    • pp.42-47
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    • 2023
  • With rapid urbanization, the importance of urban warfare is increasing, and it is also required to reflect the characteristics of cities in wargame models. However, in the military's wargame models, the urbanization factor was calculated and used without theoretical basis. In this study, we investigate techniques for estimating the urbanization factor using Fractal dimension theory. The urbanization factor we propose can suggest a logical and valid representative value when used in conjunction with Agent Based Model and other methodologies.

Relationships Between the Characteristics of the Business Data Set and Forecasting Accuracy of Prediction models (시계열 데이터의 성격과 예측 모델의 예측력에 관한 연구)

  • 이원하;최종욱
    • Journal of Intelligence and Information Systems
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    • v.4 no.1
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    • pp.133-147
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    • 1998
  • Recently, many researchers have been involved in finding deterministic equations which can accurately predict future event, based on chaotic theory, or fractal theory. The theory says that some events which seem very random but internally deterministic can be accurately predicted by fractal equations. In contrast to the conventional methods, such as AR model, MA, model, or ARIMA model, the fractal equation attempts to discover a deterministic order inherent in time series data set. In discovering deterministic order, researchers have found that neural networks are much more effective than the conventional statistical models. Even though prediction accuracy of the network can be different depending on the topological structure and modification of the algorithms, many researchers asserted that the neural network systems outperforms other systems, because of non-linear behaviour of the network models, mechanisms of massive parallel processing, generalization capability based on adaptive learning. However, recent survey shows that prediction accuracy of the forecasting models can be determined by the model structure and data structures. In the experiments based on actual economic data sets, it was found that the prediction accuracy of the neural network model is similar to the performance level of the conventional forecasting model. Especially, for the data set which is deterministically chaotic, the AR model, a conventional statistical model, was not significantly different from the MLP model, a neural network model. This result shows that the forecasting model. This result shows that the forecasting model a, pp.opriate to a prediction task should be selected based on characteristics of the time series data set. Analysis of the characteristics of the data set was performed by fractal analysis, measurement of Hurst index, and measurement of Lyapunov exponents. As a conclusion, a significant difference was not found in forecasting future events for the time series data which is deterministically chaotic, between a conventional forecasting model and a typical neural network model.

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