• 대한의용생체공학회:학술대회논문집
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• 대한의용생체공학회 1994년도 추계학술대회
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• pp.134-137
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• 1994

In this paper, we describe an approach to ECG data coding based on a fractal theory of iterated contractive transformations defined piecewise. The main characteristic of this approach is that it relies on the assumption that signal redundancy can be efficiently captured and exploited through piecewise self-transformability on a block-wise basis. The variable range size technique is employed to reduce the reconstruction error. Large ranges are used for encoding the smooth waveform to yield high compression efficiency, and the smaller ranges are used for encoding rapidly varying parts of the signal to preserve the signal quality. The suggested algorithm was evaluated using MIT/BIH arrhythmia database. A high compression ratio is achieved with a relatively low reconstruction error.

• Structural Engineering and Mechanics
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• 제20권3호
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• pp.335-346
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• 2005

The T-stress of cracks in elastic sheets is solved by using the fractal finite element method (FFEM). The FFEM, which had been developed to determine the stress intensity factors of cracks, is re-applied to evaluate the T-stress which is one of the important fracture parameters. The FFEM combines an exterior finite element model with a localized inner model near the crack tip. The mesh geometry of the latter is self-similar in radial layers around the tip. The higher order Williams series is used to condense the large numbers of nodal displacements at the inner model near the crack tip to a small set of unknown coefficients. Numerical examples revealed that the present approach is simple and accurate for calculating the T-stresses and the stress intensity factors. Some errors of the T-stress solutions shown in the previous literature are identified and the new solutions for the T-stress calculations are presented.

• 한국지반공학회논문집
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• 제31권4호
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• pp.19-29
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• 2015

최근 국내에서는 굴착현장의 안전성에 대한 중요성 때문에 현장계측과 수치해석을 활용한 시공 관리방안에 대한 관심이 점점 더 높아지고 있다. 따라서 본 연구는 이를 위한 대안으로서 국내 다양한 굴착현장의 계측(경사계)자료들을 활용하여 미지점에 대한 변위값 추정과 기지점에서 향후 발생될 것으로 예상되는 변위값 예측을 위해 플랙탈(Fractal) 이론의 적용성을 검토하였다. 계측자료는 일반현장과 붕괴사고가 발생된 현장의 자료를 분석하였는데, 분석 시에는 계측 주기에 따른 수평변위의 변화 양상에 대해서 Hurst 지수를 산정하여 예측값을 모사하는데 사용하였으며, 그 결과를 실측값과 비교 검토하였다. 그 결과, 일반현장의 계측결과의 Hurst, H=0.7~0.8의 범위로 나타났다. 이는 H > 1/2로서 양의 상관성을 나타내 자기 유사성(self-similarity)을 확인할 수 있었으며, Hurst 지수로 모의된 예측값들은 계측값들과 매우 높은 상관성을 나타내었다. 또한 붕과가 발생된 현장의 계측자료들에 대한 분석결과에서는 붕괴발생 수주일 전부터 Hurst 지수의 이상 변화가 나타나는 것을 확인할 수 있었다. 따라서 향후 추가적인 자료축적을 통하여 굴착현장 흙막이 벽체의 안전관리에 플랙탈 이론을 활용성을 확인할 수 있었다.

• 한국멀티미디어학회논문지
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• 제8권6호
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• pp.776-782
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• 2005

This paper presents a SPIHT image compression method using biorthogonal multi wavelets on [-1,1]. A family of biorthogonal scaling vectors is constructed using fractal interpolation function, and the associated biorthogonal multi wavelets are constructed. This paper uses biorthogonal multi wavelets to be supported in [-1,1] associated with biorthogonal scaling vectors to be supported in [-1,1]. The scaling vectors and wavelets remain biorthogonal when restricted to integer intervals, making them well suited for bounded domains. The experiment results of simulation of the proposed image compression using biorthogonal multiwavelets on [-1,1] based on SPIHT were found to be excellent PSNR for LENA and PEPPERS images except for BABOON image than already existing single wavelets and DGHM multi wavelets.