• 한국지리정보학회지
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• 제4권4호
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• pp.51-60
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• 2001

본 연구는 지리정보시스템을 이용하여 하천유역에 있어서 프랙탈 특성을 분석하고자 하였다. 따라서 본 분석에서는 GIS를 이용하여 격자크기별 지형특성인자(유역면적, 유로연장, 유로중심장)을 산정하였으며, 여기서 산정된 인자들과 격자크기와의 상관분석을 통해서 상관계수 및 상관식을 유도하고, 또한 각 지형인자별 프랙탈 차원을 산정하였다. 격자크기에 대한 프랙탈 차원의 산정결과는 유로연장, 유역면적 및 유로중심장이 각각 1.028, 1.0026, 1.0061로 나타났다. 즉, 격자크기가 변함에 따라 가장 큰 영향을 받는 지형인자는 유로연장인 것으로 분석되었다.

• 한국안전학회지
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• 제26권5호
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• pp.17-22
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• 2011

This study proposes feature extraction method of pattern recognition by evaluation of weld defects in weld zone of titanium. For this purpose, analysis objectives in this study are features of attractor quadrant and fractal dimension. Trajectory changes in the attractor indicated a substantial difference in fractal characteristics resulting from distance shifts such as porosity of weld zone. These differences in characteristics of weld defects enables the evaluation of unique characteristics of defects in the weld zone. In quantitative fractal feature extraction, feature values of 0.87 and 1.00 in the case of part of 0.5 skip distance and 0.72 and 0.93 in the case of part of 1.0 skip distance were proposed on the basis of fractal dimensions. Attractor quadrant point, feature values of 1.322 and 1.172 in the case of ${\phi}1{\times}3mm$ porosity and 2.264 and 307 in the case of ${\phi}3{\times}3mm$ porosity were proposed on the basis of distribution value. The Proposed feature extraction of pattern recognition in this study can be used for safety evaluation of weld zone in titanium.

• 대한원격탐사학회지
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• 제24권2호
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• pp.125-131
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• 2008

Hyperion, AVIRIS 등의 초분광 영상은 기존의 다중분광 영상보다 넓은 파장대의 영상을 좁은 폭의 많은 밴드로 취득하기 때문에 다양한 분야의 연구에 이용되고 있다. 하지만 밴드별로 취득하는 파장대가 짧고 밴드수가 많아 계산량이 증가하며, 밴드간의 높은 상관관계 및 노이즈 밴드가 발생하는 한계가 존재한다. 이런 한계로 인해 기존에 알려진 분석기법의 적용결과가 제대로 도출되지 않는 경우도 발생한다. 따라서 초분광 영상을 사용할 경우, 노이즈가 포함된 밴드를 제거한 후 영상분석을 하는 것이 보다 정확하고 효율적이다. 본 연구에서는 초분광 영상(Hyperspectral Image)의 전처리 과정 중 노이즈 밴드 제거에 초점을 맞추었으며, 이를 위해 프랙탈 차원을 이용하였다. 프랙탈 차원 측정방법 중 대표적인 곡면차원 측정 방법인 삼각기둥 표면적 기법을 이용하였다. 각 밴드별 프랙탈 차원을 측정하고, 이를 정규화 하기 위해 Continuum Removal 기법을 적용한 뒤 경향을 살펴보았다. 경험적으로 구한 임계값을 통해 상대적으로 정보량이 적은 35개 밴드를 노이즈 밴드로 판단하여 제거하였다. 실험 영상으로는 EO-1 위성에서 취득되는 Hyperion 초분광 영상을 사용하였다. 실험 결과 프랙탈 차원 및 Continuum Removal 기법을 통해 Hyperion 초분광 영상의 노이즈 밴드를 추출하여 제거할 수 있음을 확인하였다.

• Imaging Science in Dentistry
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• 제32권4호
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• pp.201-206
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• 2002

Purpose : To evaluate the radiographic change of operation sites after orthognathic surgery using the digital image processing and fractal analysis. Materials and Methods : A series of panoramic radiographs of thirty-five randomly selected patients who had undergone mandibular orthognathic surgery (bilateral sagittal split ramus osteotomy) without clinical complication for osseous healing, were taken. The panoramic radiographs of each selected patient were taken at pre-operation (stage 0), 1 or 2 days after operation (stage 1), 1 month after operation (stage 2), 6 months after operation (stage 3), and 12 months after operation (stage 4). The radiographs were digitized at 600 dpi, 8 bit, and 256 gray levels. The region of interest, centered on the bony gap area of the operation site, was selected and the fractal dimension was calculated by using the tile-counting method. The mean values and standard deviations of fractal dimension for each stage were calculated and the differences among stage 0, 1, 2, 3, and 4 were evaluated through repeated measures of the ANOVA and paired t-test. Results : The mean values and standard deviations of the fractal dimensions obtained from stage 0, 1, 2, 3, and 4 were 1.658±0.048, 1.580±0.050, 1.607±0.046, 1.624±0.049, and 1.641 ±0.061, respectively. The fractal dimensions from stage 1 to stage 4 were shown to have a tendency to increase (p < 0.05). Conclusion: The tendency of the fractal dimesion to increase relative to healing time may be a useful means of evaluating post-operative bony healing of the osteotomy site.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 춘계학술대회논문집A
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• pp.609-615
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• 2001

This study proposes analysis and evaluation method of time series ultrasonic signal using attractor analysis for fusion joint part of polyethylene piping. Quantitatively characteristics of fusion joint part is analysed features extracted from time series. Trajectory changes in the attractor indicated a substantial difference in fractal characteristics. These differences in characteristics of fusion joint part enables the evaluation of unique characteristics of fusion joint part. In quantitative fractal feature extraction, feature values of 4.291 in the case of debonding and 3.694 in the case of bonding were proposed on the basis of fractal dimensions. In quantitative quadrant feature extraction, 1,306 point in the case of bonding(one quadrant) and 1,209 point(one quadrant) in the case of debonding were proposed on the basis of fractal dimensions. Proposed attractor feature extraction can be used for integrity evaluation of polyethylene piping material which is in case of bonding or debonding.

• 한국철도학회논문집
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• 제2권1호
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• pp.38-46
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• 1999

This study proposes the analysis and evaluation method of time series ultrasonic signal using the attractor analysis. Features extracted from time series signal analyze quantitatively characteristics of weld defects. For this purpose, analysis objective in this study is fractal dimension and attractor quadrant feature. Trajectory changes in the attractor indicated a substantial difference in fractal characteristics resulting from distance shifts such as parts of head and flange even though the types of defects are identified. These differences in characteristics of weld defects enables the evaluation of unique characteristics of defects in the weld zone. In quantitative fractal feature extraction, feature values of 3.848 in the case of part of head(crack) and 4.102 in the case of part of web(side hole) and 3.711 in the case of part of flange(crack) were proposed on the basis of fractal dimensions. Proposed attractor feature extraction in this study can enhance the precision rate of ultrasonic evaluation for defect signals of rail weld zone such as side hole and crack.

• 한국철도학회:학술대회논문집
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• 한국철도학회 1998년도 추계학술대회 논문집
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• pp.87-95
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• 1998

This study proposes the analysis and evaluation method of time series ultrasonic signal using the attractor analysis. Features extracted from time series signal analyze quantitatively characteristics of welding defects. For this purpose, analysis objective in this study is fractal dimension and attractor Quadrant feature. Trajectory changes in the attractor indicated that even the same type of defects carried substantial difference in fractal characteristics resulting from distance shifts such as parts of head and flange. Such differences in characteristics of weld defects enables the evaluation of unique features of defects in the weld zone. In quantitative fractal feature extraction, feature values of 3.848 in the case of part of head(crack) and 4.102 in the case of part of web(side hale) and 3.711 in the case of part of flange(crack) were proposed on the basis of fractal dimensions. Proposed attractor feature extraction in this study can enhance the precision rate of ultrasonic evalaution for defect signals of rail weld zone such as side hole and crack.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2003년도 추계학술대회 논문집 전기물성,응용부문
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• pp.25-28
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• 2003

Fractal mathematics is being highlighted as a research method for classification of image. But the application of Fractal dimension(FB) has been required the complicated calculation method because of its complex repetition progressing. In this paper, it has been developed the new approach method to express the Fractal Dimension(FB) for aging level calculation and estimation system of outside insulator using special image processing algorithm. As a result after FD testing, the recognized aging estimation of FD has a very characteristics compared to the conventional visual inspection.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2002년도 가을 학술발표회 논문집
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• pp.245-252
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• 2002

The roughness of Joomoonjin sand and the Dongchun river sand was analysed by the fractal theory. It was found that the fractal dimension(D$\_$F/) of Joomoonjin sand is a little smaller than the Dongchun river sand. That means Joomoonjin sand is smoother than the Dongchun river sand. The measurements of D$\_$F/ of different fraction of the Donchun river sand showed that large particles were rougher than fine particles. The shapes of both sands were analysed by the Discrete Fourier Transform(DFT) and the Grid-based(GB) method. Normalization of coefficients with respect to size, starting point and its orientation made the coefficients invaried to these characteristics. The mean of the normalized coefficients was used to reconstruct the average shape for both sands, respectively. The measurements of the ellipticity ratio of different fraction of both sands showed that Joomoonjin sand is slightly flatter than the Dongcun river sand.

• 대한환경공학회지
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• 제28권3호
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• pp.337-344
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• 2006

응집플록은 그 특성에 따라 분리막 오염에 지대한 영향을 미친다. 기존의 연구결과에서 보면, 자연입자에 의해 형성된 플록함유수는 인공입자에 의한 플록함유수에 비하여 낮은 투과량을 보이는 것으로 나타났다. 따라서 본 연구에서는 응집플록의 특성을 정량적으로 분석하고, 분리막 오염과의 상관성을 알아보고자 하였다. 이를 위해 응집 플록에 대한 image analysis, specific cake resistance 및 cake compressibility 등을 측정하였다. Image 분석은 플록의 fractal dimension을 구하는데 이용되었으며, dimension은 플록의 다공성, 크기나 표면의 거칠기를 표현하는데 유용하게 사용된다. 또한 케익 압축능은 플록이 쌓여 만들어진 막표면층의 특성을 분석하는데 사용되었다. 두 가지의 다른 특성을 가지는 플록으로서 자연입자를 핵으로 하는 응집플록과 카올린 입자를 핵으로 하는 응집플록을 선택하여 실험하였다. 실험결과에 따르면 자연입자와 인공입자에 의해 형성된 플록의 fractal dimension($D_2$) 값은 $1.79{\pm}0.07,\;1.84{\pm}0.06$을 각각 나타내었으며, 이것은 자연입자에 의해 형성된 플록이 인공입자에 의한 것 보다 더 다공성의 느슨한 형태로 존재하고 있다는 것을 나타내는 것이다. 자연입자에 의해 형성된 다공성의 느슨한 플록이 분리막 표면에서 케익층을 형성 할 때에는 상대적으로 쉽게 압축되어 케익비저항이 커지는 것을 확인하였다.