• Journal of the Korean Association of Geographic Information Studies
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• v.4 no.4
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• pp.51-60
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• 2001

This study analyzed fractal characteristics of river basin by using GIS. In this study, topographical factors in river basin was grid-analyzed for each cell size by using GIS and regression formula was derived by analyzing correlation among topographical factors and cell size which were calculated here. And, analysis of fractal characteristics of river by using the result calculated from 1) showed that among topographical factors, river length only increases according as cell size increases. The result of calculating fractal dimension for each cell size shows that river length, basin area, and centroidal flow path are 1.028, 1.0026 and 1.0061 respectively.

• Journal of Korea Water Resources Association
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• v.45 no.9
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• pp.943-957
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• 2012

In this study, a technique based on Fractal Theory with Erosion Model was developed to interpolate the river morphology data at the border area between river bed and river side where both surface and under water surveyings can not be committed easily. Three dimensional river morphology data along the Ara River was generated by the developed technique. The Ara River is an artificially constructed waterway for vessels between the Han River and West Sea of Korea. The result was compared with the survey data by RMSE of 0.384, while the IDW interpolation result has RMSE of 0.802. Consequently, the developed river morphology data interpolation technique using Erosion Model based Fractal Theory is conceived to be superior to the IDW which has been generally used in generating the river morphology data.

• Proceedings of the Korean Information Science Society Conference
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• 1998.10c
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• pp.78-80
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• 1998

본 논문은 일차원의 시계열 데이터를 입력을 하여 위상공간 재구성 과정을 거쳐 다차원 위상공간상에서 프랙탈 차원을 계산하는 효율적인 방법을 제안한다. 프랙탈 차원의 추정에 소요되는 계산량을 줄이기 위해 로그 연산을 비트 연산으로 대체하고, 거리계산의 순서를 바꿈으로써 위상공간의 차원에 무관한 상수 시간의 계산복잡도를 가지는 알고리즘을 구현하였다. 또한 최소절단자승 추정기법을 적용하여 로그-로그 그래프 상에서의 기울기 추정을 함으로써 프랙탈 차원의 추정치에 대한 정확도를 높였다. 참값이 알려진 시계열 데이터에 대한 차원 추정 실험을 통하여 제안된 방법의 정확성을 보였다.

• Proceedings of the KSEEG Conference
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• 2002.04a
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• pp.389-391
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• 2002

• 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.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.23 no.1
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• pp.145-149
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• 2023

High-resolution images of surfaces provide detailed information on pores or shapes with specific sizes ranging from nano sizes to micrometers. However, it is not yet clear to determine an efficient association for pores or shapes from high-resolution images of surfaces. For the efficient association of pores and shapes, the surface characteristics of the device were considered as fractal dimensions by taking SEM photographs and binarizing the images. The fractal program was directly coded for surface analysis of the device. The device surface characteristics and electrical characteristics are thought to be related to the fractal dimension. The fractal dimension decreased with an increase in internal pores. The density and grain boundary of particles, which are structural characteristics of the device surface, were related to the fractal dimension. The particle size decreased with an increase in the fractal dimension and was uniformly formed. When the particles were uniformly formed, fewer pores were present and the fractal dimension increased.

• Journal of the Korea Society for Simulation
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• v.18 no.4
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• pp.21-28
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• 2009

In the past, most of battle occurred in flatland and simple military force size gave a big influence in combat result. However, after the World War I, most of battles took place at the various terrain features such as forest, downtown, jungle and many others. Therefore, terrain factor exerts big influence on battle with weapon system in the ground warfare. However, effect of terrain has been explained only by quantitative manner in the battle. Furthermore, combat simulation and modeling applied a method that lower the combat capability of battle factors. In this paper, we present instrumentation that evaluate impact of terrain using fractal dimension. We determine the fractal dimension value by the "box counting dDimension" and density to calculate impact of terrain. Furthermore, we analyzed correlation with fractal dimension and density for battle result that obtained from the EINSTein model which is an agent-based simulation. We compare with 'Stalingrad battle' result out of battle example and analyzed. This study presented a method combat effectiveness that effect of terrain calculate quantitatively using fractal dimension.

• Journal of the Korean Geotechnical Society
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• v.17 no.1
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• pp.85-97
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• 2001

Tse와 Cruden(1979)에 의해 암석 절리면 거칠기 정량화에 대한 연구가 시작된 이후 통계적인 정량화방법, 프랙탈 차원을 이용하는 방법 그리고 스펙트럼 분석을 이용하는 방법이 제안되었다. 이러한 통계적 정량화방법은 치수의존적이라는 단점이 있으며, 프랙탈 차원을 이용하는 방법은 크로스오버 차원이라는 문제점이 있는 것으로 평가되고 있다. 이 문제점들을 보완하는 방법으로 스펙트럼 분석법이 제시되어 많은 연구가 이루어졌다. 본 연구에서는 Barton과 Choubey(1977)가 제안한 10개의 절리면 프로파일을 수치화하고 통계적 분석, 프랙탈 차원 분석 그리고 스펙트럼 분석을 실시하여 이들 문제점을 살펴보고 스펙트럼 분석법이 위상이 변조된 프로파일에 대하여 문제가 있음을 확인하였다. 이들 문제점을 해결하기 위하여 측정간격과 프로파일의 기울기를 의미하는 통계적 파라미터의 관계를 선형으로 회귀분석하였다. 이렇게 구한 10개의 1차식의 기울기와 절편은 JRC와 매우 상관성이 높게 나타났다. 이 기울기와 절편을 거칠기 정량화의 변수로 사용함으로서 통계적 분석법에서의 치수의존적인 문제와 스펙트럼 분석에서의 위상변조의 문제를 해결하였다.

• Journal of Korea Water Resources Association
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• v.44 no.10
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• pp.831-841
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• 2011

In this study, with the assumption that the geographical characteristics of the river basin have selfsimilarity, fractal dimensions are used to quantify the complexity of the terrain. For this, Area exponent and hurst exponent was applied to estimate the fractal dimension by using spatial analysis. The result shows that the value of area exponent and hurst exponent calculated by the fractal dimension are 2.008~2.074 and 2.132~2.268 respectively. Also the $R^2$ of area exponent and hurst exponent are 94.9% and 87.1% respectively too. It shows that the $R^2$ is relatively high. After analyzing the spatial self-similarity parameter, it is shown that traditional urban area's moderate slope geographical characteristic closed to 2D fractal in Ara water way. In addition, the relation between fractal dimension and geographical elements are identified. With these results, fractal dimension is the representative value of basin characteristics.

• Journal of Digital Contents Society
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• v.5 no.3
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• pp.199-204
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• 2004

A problem of many fractal image compression algorithms providing good quality at low bit rate is that the decoding time rests on an iterative procedure whose complexity is imag-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 an input image to be encoded. As the decoding time could be remarkably reduced. For verifying the validity and universality of proposed method, We evaluated and analyzed the performance of decoding time and image quality for a number of still images and a moving picture with different distributed characteristics.