• Journal of the Korean Institute of Landscape Architecture
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• v.41 no.5
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• pp.57-67
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• 2013

The studies of Korean traditional gardens have been a lot of diachronic approaches through ancient documents and on-site investigation. Previous research has focused on the characteristics that are inherent symbolism of the traditional landscape space, such as site characteristics. There are many studies for inner gardens, outer gardens and other influential ranges of gardens of the location characteristics. However, studies on the scale of external gardens were not satisfactory from a quantitative perspective. Unlike private life sphere, quantitative analysis was conducted on the role of a sphere of public community life for outer gardens. Visibility analysis was performed through the existing literature and GIS programs to estimate the magnitude of the outer garden. When it was compared with Min G. H.(1982) research, it is almost the same if it is estimated to focus on Buyoung -bong(芙蓉峯) and Ip-am(立巖). Also, as a result of the fractal structure for a variety of symbols in the garden, fractal dimension in landscape elements is relatively concentrated, unlike in other areas. Thus, the external scale can be a means of cultural property protection out of the crucial perspective for the inner garden. There has been consideration of the cooperation with the visual complexity using the concept of fractal structure as one of the elements of landscape analysis.

• Journal of Korea Water Resources Association
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• v.47 no.10
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• pp.959-972
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• 2014

In this study, a space-time rainfall grid field generation model based on multifractal theory was verified using nine flood events in the upstream watershed of Chungju dam in South Korea. For this purpose, KMA radar rainfall data sets were analyzed for the space-time multifractal characteristics. Simulated rainfall fields that represent the multifractal characteristics of observed rainfall field were reproduced using the space-time rainfall grid field generation model with log-Poisson distribution and three-dimension wavelet function. Simulated rainfall fields were applied to the S-RAT model as input data and compared with both observed rainfall fields and low-resolution rainfall field runoff. Error analyses using RMSE, RRMSE, MAE, SS, NPE and PTE indicated that the peak discharge increases about 20.03% and the time to peak decreases about 0.81%.

• The Korean Journal of Financial Management
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• v.20 no.2
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• pp.95-126
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• 2003

This paper introduces multifractal processes and presents the empirical investigation of the multifractal asset pricing. The multifractal stock price process contains long-tails which focus on Levy-Stable distributions. The process also contains long-dependence, which is the characteristic feature of fractional Brownian motion. Multifractality introduces a new source of heterogeneity through time-varying local reqularity in the price path. This paper investigates multifractality in stock prices. After finding evidence of multifractal scaling, the multifractal spectrum is estimated via the Legendre transform. The distinguishing feature of the multifractal process is multiscaling of the return distribution's moments under time-resealing. More intensive study is required of estimation techniques and inference procedures.

• Journal of Astronomy and Space Sciences
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• v.23 no.3
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• pp.227-236
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• 2006

The fractal dimension is a quantitative parameter describing the characteristics of irregular time series. In this study, we use this parameter to analyze the irregular aspects of solar activity and to predict the maximum sunspot number in the following solar cycle by examining time series of the sunspot number. For this, we considered the daily sunspot number since 1850 from SIDC (Solar Influences Data analysis Center) and then estimated cycle variation of the fractal dimension by using Higuchi's method. We examined the relationship between this fractal dimension and the maximum monthly sunspot number in each solar cycle. As a result, we found that there is a strong inverse relationship between the fractal dimension and the maximum monthly sunspot number. By using this relation we predicted the maximum sunspot number in the solar cycle from the fractal dimension of the sunspot numbers during the solar activity increasing phase. The successful prediction is proven by a good correlation (r=0.89) between the observed and predicted maximum sunspot numbers in the solar cycles.

• Journal of the Korean Institute of Intelligent Systems
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• v.23 no.2
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• pp.93-99
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• 2013

Fractal theory has been adopted as an effective tool for modelling complex and irregular natural phenomena facing in the fields of Computer Science, Engineering, Medical, Climatology and so on. In this paper, we presents an algorithm which enhances the performance of the triangular prism method(TPM) which has been widely used for fractal dimension extraction of natural terrains and images. For this, existing sampling methods are analyzed and a new sampling method which takes their merits is proposed. The effectiveness of the proposed algorithm is tested on fractal terrain maps and its performance is compared with that of other methods.

• Proceedings of the Korea Water Resources Association Conference
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• 2015.05a
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• pp.4-4
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• 2015

기압 분포의 공간 구조를 이해하고, 그것의 변동을 살펴보는 것은 풍속의 경향을 파악하는 것은 물론, 장기적인 측면에서는 기후변화를 예측하기 위한 기본 과정이라 할 수 있다. 본 연구에서는 장기간에 걸쳐 공간적으로 연속적인 관찰이 가능한 20CR(20th Century Reanalysis) 원격탐사 재분석 자료의 지오포텐셜(geopotential) 값을 활용하여 동아시아 지역 기압의 공간 분포를 살펴보았다. 그 결과 특정 범위 내에서 계산되는 기압의 편차 값과 해당 범위를 정의하는 수평 거리 사이의 관계(변동도; variogram)가 멱함수를 따르는 것을 확인하였다. 흥미로운 점은 지난 반세기 동안 멱함수의 계수 값이 풍속과 동일한 패턴으로 변화하는 반면, 지수 값 (프랙탈 차원)은 일정하게 유지되고 있다는 사실이다. 또한, 2000년 이후로는 계절 별로 한랭한 기단 (겨울철)과 온난한 기단 (여름철)이 번갈아가며 동아시아 지역으로 세력을 확장하는 경향을 보였으며, 그로인해 전반적인 기압의 편차가 증가하였다.

• Proceedings of the Korean Information Science Society Conference
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• 1999.10b
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• pp.315-317
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• 1999

미세한 차이를 고감도 식별하는 카오스 이론의 프랙탈 차원과 스트레인즈 어트랙터를 생성하는 수정된 에농 함수를 이용하여, 한글 2,350자에 대한 시계열 데이터의 혼도도를 분석하기 위해, 각각의 문자 0트랙터를 구성한 후, 프랙탈 차원을 나타내는 Box-counting Dimension 및 Natural Measure, Information Bit, Information Dimension 등을 구하여 문자 특징을 추출하는 새로운 알고리즘을 제시하였다. 실험결과 한글 2,350자에 대하여 99.23%의 분류율을 나타내어 제안된 방법의 유효성을 보였다.

• Proceedings of the Korean Information Science Society Conference
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• 2000.04b
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• pp.538-540
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• 2000

프랙탈 이미지 압축을 적용하는 경우 많은 시간을 필요로 하는 블록의 비교과정에서 블록 정보의 효율적인 처리를 위하여 선형으로 연결된 기존의 블록 정보 저장을 tree 구조의 형태로 저장하는 방법을 제안한다. Tree의 형태로 저장된 블록의 정보는 BFS 탐색을 이용하여 참조, 사용되며 이를 tree의 각 node에 분류된 domain 블록의 개수로 표현하여 기존의 전체 탐색과 비교 분석하였다.

• Communications of Mathematical Education
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• v.9
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• pp.283-297
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• 1999

수학에서는 컴퓨터를 활용해야 하고, 사회생활에서는 수학을 활용해야 한다. 이런 의미에서 엑셀을 수업 시간에 활용하는 것이 필요하다. 수학II의 일차변환을 엑셀을 어떻게 활용할 수 있는 가를 제시한다. 일차변환의 응용으로서, 이동을 포함시킨 아핀변환을 이용하여 프랙탈을 생성하는 방법을 찾아본다. 프랙탈을 생성하기 위해서는 IFS(Iterated Function System)에 의해 수 만번의 합성변환을 필요하므로 소프트웨어가 필수적이다. 여기서는 Fanstic Fractals 프로그램을 이용하여 직관적으로 얻은 그림에서 변환 행렬의 값을 구하여, 엑셀에서 두 가지 방법으로 분석하였다.

• Journal of Korea Water Resources Association
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• v.47 no.9
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• pp.839-852
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• 2014

This study analyzed the applicability of a rainfall downscaling algorithm in space-time multifractal framework (RDSTMF) in Korean Peninsula. To achieve this purpose, the 8 heavy rainfall events that occurred in Korea during the period between 2008 and 2012 were analyzed using the radar rainfall imagery. The result of the analysis indicated that there is a strong tendency of the multifractality for all 8 heavy rainfall events. Based on the multifractal exponents obtained from the analysis, the parameters of the RDSTMF were obtained and the relationship between the average intensity of the rainfall events and the parameters of the RDSTMF was developed. Based on this relationship, the synthetic space-time rainfall fields were generated using the RDSTMF. Then, the generated synthetic space-time rainfall fields were compared to the observation. The result of the comparison indicated that the RDSTMF can accurately reproduce the multifractal exponents of the observed rainfall field up to 3rd order and the cumulative density function of the observed space-time rainfall field with a reasoable accuracy.