• 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.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.6 no.4
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• pp.616-623
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• 2002

The fractal expanded antenna with the configuration of a triangular microstrip patch antenna is presented and analyzed. In the fundamental and higher mode of TFA(Triangular Fractal Antenna), resonant frequencies are controlled by changing the scaling factor. It is observed that increasing scaling factor makes the resonant frequency be spread, and decreasing scaling factor makes it be concentrated. The scaling factor is varied as the expansion and concentration of resonant frequencies. The resonant frequency in each fractal patch element is observed log -periodically. The TFA can be applied to the multiband system.

• The Bulletin of The Korean Astronomical Society
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• v.42 no.1
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• pp.33.3-33.3
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• 2017

현재 관측되는 대부분의 성단들은 구형의 구조를 보이는 반면, 별탄생 지역은 구형의 구조와는 다른 프랙털(fractal) 구조를 보이고 있다. 본 연구에서는 초기에 프랙털 구조를 가지는 성단이 우리 은하 중심부근에서 어떻게 진화하는지 N-body 시뮬레이션을 이용해 연구하였다. 그 결과, 프랙털 구조의 성단이 우리 은하 중심부근의 강력한 조석력장 내에서 살아남기 위해서는 초기 밀도가 높아야 한다는 것을 발견하였다. 성단의 초기 밀도가 높기 때문에 프랙털 구조의 성단은 빠른 역학적 진화를 보이며 구형의 성단으로 진화한다. 플러머 (Plummer) 구조의 성단도 프랙털 구조의 성단과 같이 초기 밀도가 높아야 살아남지만 프랙털 구조보다는 역학적인 진화가 느렸다. 이러한 결과들은 Arches 성단처럼 우리 은하 중심부근에서 관측되는 성단들의 형성과 진화에 제약조건을 줄 수 있을 것으로 예상된다.

• Proceedings of the Korea Water Resources Association Conference
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• 2017.05a
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• pp.171-171
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• 2017

강우의 시간분포는 다양한 시간규모에 걸쳐 프랙털 또는 멀티프랙털 특성을 가지고 있음이 알려졌다. 기존의 연구는 주로 시간단위 이상의 프랙털 특성에 관한 것이었다. 실제로 극한 홍수를 가져오는 집중호우는 짧은 시간 규모에서 발생함에도, 이것에 대해서는 관측 자료가 제한되어 극소수의 실험적 연구만 가능했다. 본 연구에서는 기상청에서 제공한 고해상도(1분 단위) ASOS(Automated Synoptic Observation System) 자료를 이용하여, 강우 사상 안에서의 프랙털 특성을 분석해보았다. 대부분의 사상에서 단일 멱함수보다는 2개의 멱함수로 나누어지는 것이 밝혀졌으며, 나뉘는 시간 규모(T*)는 $3{\times}10$ 분으로 파악되었다. 이 시간 규모는 한 단위의 집중호우를 가져올 수 있는 구름크기의 물리적 상한과 관련이 있는 것으로 보인다. T*보다 작은 시간 규모에서의 멱함수 지수는 그 이후의 값보다 대체로 작은 것으로 나타났다. 이는 호우가 집중되는 기간의 변동성이, 강수가 물리적 한계에 도달한 이후보다 훨씬 작기 때문으로 보인다. 구체적인 멱함수의 지수는 강수의 발생과정과도 관련이 있을 것으로 추정된다.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.93-93
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• 2012

하천의 수면 폭, 평균수심, 평균유속은 유량과 함께 변화한다. 이들의 관계는 멱함수의 형태로 표현될 수 있으며, 변동성을 바라보는 관점에 따라 두 가지로 구분된다. 하나는 시간에 따른 변동성으로 한 지점에서 서로 다른 주기를 갖는 유량들의 폭, 수심, 유속과의 관계(지점수리기하, at a station hydraulic geometry)이며, 다른 하나는 공간적 변동성으로 하천의 하류 방향으로 가면서 나타나는 유량과 폭, 수심, 유속과의 관계(하류수리기하, downstream hydraulic geometry)이다(Leopold and Maddock, 1953). 두 가지 수리기하의 경우 모두 자연 하천의 프랙털 특성(fractal)을 보여주는 예라 할 수 있다. Dodov and Foufoula-Georgiou (2004)는 Stall and Fok (1968)의 자료를 재분석한 결과, 지점수리기하의 지수 값이 해당 지점에서의 유역면적에 관한 함수로 표현될 수 있음을 발견하였다. 그러나, 이러한 멀티 프랙털 특성은 모든 하천유역에서 발견되는 것은 아니며, Dodov and Foufoula-Georgiou (2004)가 통계적으로 분석한 대상유역의 결과도 그 유의성에 논란의 여지가 있다고 볼 수 있어서, 현대 수문지형학의 남겨진 숙제라고 할 수 있다. 이에 본 연구에서는 수리기하의 멀티 프랙털 특성을 수문학적 동질성 여부라는 측면에서 탐구하였다. 이를 위해 본 연구에서는 기존 수리기하 관계식과 차별되는 무차원변량을 이용한 새로운 관계식을 제안하였으며 이를 관측 자료에 적용하여, 멀티 프랙털 특성의 존재 여부를 고찰하였다.

• Journal of the Korea Convergence Society
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• v.8 no.8
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• pp.185-190
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• 2017

Fractal patterns are visible regularities of form found in the natural world. The mathematics of fractals can explain spiral growth patterns of self-similarity in organisms. For example, ammonites have complex but regular patterns of suture lines, resulting in a fractal-like display. In this study, a small region (less than 1mm diameter) of the spiral center of a rarely well preserved ammonite (Eogaudryceras sp.) was examined under microscope. Interestingly, we found a differential change of suture shapes at early stages of animal development providing a model for the study of Evo-devo (evoutionary developmental biology). Evo-devo is a convergence science born out of the recognition of complexity from interactions between generative and adaptive forces.

• Korean Journal of Remote Sensing
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• v.23 no.6
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• pp.567-573
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• 2007

Tidal channel development is influenced by sediment type, grain size, composition and tidal current. Tidal channels are usually characterized by channel formation, density and shape. Quantitative analysis of tidal channels using remotely sensed data have rarely been studied. The objective of this study is to quantify tidal channels in terms of fractal dimension and compare different inter-tidal channel patterns and compare with DEM (Digital Elevation Model). For the fractal analysis, we used box counting method which had been successfully applied to streams, coastlines and others linear features. For a study, the southern part of Ganghwado tidal flats was selected which know for high dynamics of tidal currents and vast tidal flats. This area has different widths and lengths of tidal channels. IKONOS was used for extracting tidal channels, and the box counting method was applied to obtain fractal dimensions (D) for each tidal channel. Yeochari area where channels showed less dense development and low DEM had low fractal dimenwion near $1.00{\sim}1.20$. Area (near Donggumdo and Yeongjongdo) of dendritic channel pattern and high DEM resulted in high fractal dimension near $1.20{\sim}1.35$. The difference of fractal dimensions according to channel development in tidal flats is relatively large enough to use as an index for tidal channel classification. Therefore we could conclude that fractal dimension, channel development and DEM in tidal channel has high correlation. Using fractal dimension, channel development and DEM, it would be possible to quantify the tidal channel development in association with surface characteristics.

• The Journal of the Korea institute of electronic communication sciences
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• v.7 no.3
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• pp.559-566
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• 2012

In this paper, we propose a fast fractal image coding algorithm to shorten long time to take on fractal image encoding. For its performance evaluation, the algorithm compares with other traditional fractal coding methods. In the traditional fractal image coding methods, an original image is contracted by a factor in order to make the corresponding image to be compared with. Then, the whole area of the contracted image is searched in order to find the fixed point of contractive transformation of the original image corresponding to the contracted image. It needs a lot of searching time on encoding. However, the proposed algorithm considerably reduces encoding time by using scaling method and limited search area method. On comparison of the proposed algorithm with Jacquin's method, the proposed algorithm is dozens of times as fast as that of Jacquin's method on encoding time with a little degradation of the decoded image quality and a little increase of the compression rate. Therefore, it is found that the proposed algorithm largely improves the performance in the aspect of encoding time when compared with other fractal image coding methods.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.20 no.3
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• pp.215-221
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• 2009

In this paper, a slotted trapezoidal microstrip fractal patch antenna is designed and fabricated for the vehicle GPS antenna. We designed air substrate patch antenna to obtain gain improvement by the elimination of dielectric loss. By applying fractal structure with crossed slot to trapezoidal patch, we obtained 42.5 % as much patch size as conventional triangular patch antenna. Measured bandwidth was 200 MHz on GPS band under VSWR 2:1 And gain was 4.31 dBi at resonant frequency that is 2$\sim$5 dB higher gain than conventional ceramic patch antenna on GPS band.

• Communications of Mathematical Education
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• v.33 no.2
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• pp.67-84
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• 2019

The purpose of this study is to investigate the effectiveness of intensive inquiry activity through intensive camp for 2 hours and 3 days in summer vacation and 100 hours of classes from March to December 2018 by selecting 2 middle school students using OKMINDMAP for creative education. It is the result. The teacher was the assistant, and the research problem was selected by two students themselves, and the variation of the fractal dimension was investigated and the Chaos game was shown to be possible in the modified Sierpinski triangle.