• Proceedings of the Korean Institute of Industrial Safety Conference
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• 2002.05a
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• pp.177-183
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• 2002

인명이나 물적 재산에 많은 손실을 가져주는 기계설비 및 구조물의 파괴현상에 대한 연구는 재해 원인을 분석하고 안전대책을 수립하기 위한 측면에서 대단히 중요하며, 지금까지 많은 연구가 행하여져 오호 있다 프랙탈기하학에 대한 연구는 Mandelbrot/sup l)/에 의하여 제안되어 20년 정도의 짧은 기간임에도 불구하고 여러 분야의 자연현상을 모델화하기 위하여 다양하게 발표가 되고 있다. 프랙탈 특성은 자연현상의 불규칙한 변화를 정량적으로 나타내기 위한 프랙탈차원으로 평가된다 프랙탈차원은 파면 및 균열의 불규칙성을 정량화함으로써 균열수명을 보다 더 정확히 예측하는데 적용될 수 있다.(중략)

• Proceedings of the Korean Information Science Society Conference
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• 2001.04a
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• pp.853-855
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• 2001

본 논문에서는 웨이브릿 변환과 프랙탈 변환을 함께 적용하여 강인하고 효율적인 워터마킹 방법을 제안하였다. 종래의 방법과 같이 프랙탈 변환만을 이용할 경우 강인함에 비하여 속도가 느리다는 단점이 있다. 크기가 큰 원래 이미지를 프랙탈 변환하지 않고 상대적으로 크기가 적은 워터마크 이미지를 프랙탈 변환함으로서 변환에 걸리는 시간을 줄일 수 있다. 또한 웨이브릿 변환 영역에서 임계치에 의해 삽입에 이용할 계수를 선택적으로 사용함으로써 적절한 대역에 삽입하여 시각적인 왜곡을 최소화 할 수 있다.

• Proceedings of the Korean Information Science Society Conference
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• 1998.10c
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• pp.636-638
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• 1998

여러 다양한 프랙탈 구조의 차원을 측정하는 개량된 프랙탈 차원 측정 방법을 제안하였다. 기존의 box counting 방법은 사용상의 편리성은 있으나 측정에 사용되는 데이터에 의존적이어서 기존 box counting방법의 약점을 보완, 개량한 방법의 적용으로 프랙탈 차원의 보다 정확한 측정결과를 얻었다.

• 한국HCI학회:학술대회논문집
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• 2008.02a
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• pp.618-622
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• 2008

In this paper, we suggest new music composition algorithm based on fractal theory. User can define and control fractal shape by setting an initial state and production rules in L-System. We generate an asymmetric fractal tree based on L-System and probability. Then a music is generated by the fractal tree image using sonification techniques. We introduce two composition algorithm using the fractal tree. First, monophonic music can be generated by mapping x and y axis to velocity and pitch, respectively Second, harmonic music also can be generated by mapping x and y axis to time and pitch, respectively Using our composition algorithm, user can easily generate a music which has repeated pattern created by recursive feature of fractal, and a music which has structure similar to fractal tree image.

• Journal of the Institute of Convergence Signal Processing
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• v.3 no.1
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• pp.41-47
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• 2002

Fractal image compression can reduce the size of image data by the contractive mapping that is affine transformation to find the block(called as range block) which is the most similar to the original image. Even though fractal image compression is regarded as an efficient way to reduce the data size, it has high distortion rate and requires long encoding time. In this paper, we presented a hybrid fractal image compression system with the modified SOFM Vector Quantizer which uses improved competitive learning method. The simulation results showed that the VQ hybrid fractal using improved competitive loaming SOFM has better distortion rate than the VQ hybrid fractal using normal SOFM.

• Journal of Korea Water Resources Association
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• v.32 no.5
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• pp.565-577
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• 1999

The geometric patterns of a stream network in a drainage basin can be viewed as a "fractal" with fractal dimensions. Fractals provide a mathematical framework for treatment of irregular, ostensively complex shapes that show similar patterns or geometric characteristics over a range of scale. GIUH (Geomorphological Instantaneous Unit Hydrograph) is based on the hydrologic response of surface runoff in a catchment basin. This model incorporates geomorphologic parameters of a basin using Horton's order ratios. For an ordered drainage system, the fractal dimensions can be derived from Horton's laws of stream numbers, stream lengths and stream areas. In this paper, a fractal approach, which is leading to representation of a 2-parameter Gamma distribution type GIUH, has been carried out to incorporate the self similarity of the channel networks based on the high correlations between the Horton's order ratios. The shape and scale parameter of the GIUH-Nash model of IUH in terms of Horton's order ratios of a catchment proposed by Rosso(l984J are simplified by applying the fractal dimension of main stream length and channel network of a river basin. basin.

• The Journal of the Acoustical Society of Korea
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• v.13 no.3
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• pp.51-62
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• 1994

In this paper, we performed a class of experiments on segmenting consonant and vowel from Korean consonant-vowel (CV) monosyllable data, using the fractal dimension of the speech signals. We chose the Minkowski-Bouligand dimension as the fractal dimension, and computed it using the morphological covering method. In order to examine the usefulness of the fractal dimension in speech segmentation we carried out speech segmentation experiments using the fractal dimension alone, using the short-time energy alone, and using both the fractal dimension and the short-time energy, and compared the results. From the experiments, segmentation accuracy of $96.1\%$ was achieved for the case with using the multiplication of the slope of the fractal dimension and that of the energy, while the segmentation accuracies for the cases with using the slope of either the fractal dimension or energy alone were slightly lower $(93.6\%)$ or much lower $(88.0\%)$ than the above case, respectively. These results indicate that the fractal dimension can be used as a good parameter for speech segmentation.

• The Journal of the Korea Contents Association
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• v.7 no.12
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• pp.322-332
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• 2007

We consider a deformation method suitable for fractal. In IFS fractal, the position of a point is characterized by its code as well as by its coordinates. Code has a meaning of address for fractal. If we move a point by changing its code, the resulting movement shows fractal behavior. We propose three deformation methods based on code information. For the deformation vector of a point in fractal, 1) we use the vector of a given vector field at the point obtained by code transformation, 2) we use the vector constructed by adding predefined displacement vectors according to the code information of the point. Both methods show a fractal-like character as well as an ordinary continuous deformation character. Also, 3) we can deform fern-fractal more naturally by restricting its deforming region using code form.

• Journal of Korea Water Resources Association
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• v.37 no.11
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• pp.889-896
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• 2004

The fractal advection-diffusion equation (ADE) is a generalization of the classical AdE in which the second-order derivative is replaced with a fractal order derivative. While the fractal ADE have been analyzed with a stochastic process In the Fourier and Laplace space so far, in this study a fractal ADE for describing solute transport in rivers is derived with a finite difference scheme in the real space. This derivation with a finite difference scheme gives the hint how the fractal derivative order and fractal diffusion coefficient can be estimated physically In contrast to the classical ADE, the fractal ADE is expected to be able to provide solutions that resemble the highly skewed and heavy-tailed time-concentration distribution curves of contaminant plumes observed in rivers.

• 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.