• Journal of Periodontal and Implant Science
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• 제40권1호
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• pp.19-24
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• 2010

Purpose: It has been suggested that primary implant stability plays an essential role in successful osseointegration. Resonance frequency analysis (RFA) is widely used to measure the initial stability of implants because it provides superior reproducibility and non-invasiveness. The purpose of this study is to investigate whether the fractal dimension from the panoramic radiograph is related to the primary stability of the implant as represented by RFA. Methods: This study included 22 patients who underwent dental implant installation at the Department of Periodontology of Seoul National University Dental Hospital. Morphometric analysis and fractal analysis of the bone trabecular pattern were performed using panoramic radiographs, and the implant stability quotient (ISQ) values were measured after implant installation using RFA. The radiographs of 52 implant sites were analyzed, and the ISQ values were compared with the results from the morphometric analysis and fractal analysis. Results: The Pearson correlation showed a linear correlation between the ISQ values of RFA and the parameters of morphometric analysis but not of statistical significance. The fractal dimension had a linear correlation that was statistically significant. The correlation was more pronounced in the mandible. Conclusions: In conclusion, we suggest that the fractal dimension acquired from the panoramic radiograph may be a useful predictor of the initial stability of dental implants.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1995년도 추계학술대회 논문집
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• pp.251-254
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• 1995

The quality and functionality of machined products is determined by surface finish. The surface roughness is characterized by roughness parameters such as R $_{a}$ and R $_{max}$. While such parameters are useful to define the quality of surface, they are nor sufficiently descriptive characteristics of surface. The fractal dimension which can describe characteristics od surface roughness than conventional roughness parameters has been applied. In this work, Relation between fractal dimension and surface roughness will be examined as a means of characterizing surface roughness.s.s.

• 한국공작기계학회:학술대회논문집
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• 한국공작기계학회 2000년도 추계학술대회논문집 - 한국공작기계학회
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• pp.404-409
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• 2000

The determination of surface morphology is believed to be extremely important in the areas of contact mechanics, adhesion and friction. In order to describe morphology of various rubbed surface, the wear test was carried out under different experimental conditions in lubricating wear. And fractal descriptors was applied to rubbed surface of hydraulic driving material with image processing system. These descriptors to analyze surface structure are fractal dimension. Surface fractal dimension can be determined by sum of intensity difference of surface pixel. Morphology of rubbed surface can be effectively obtained by fractal dimensions.

• 한국윤활학회:학술대회논문집
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• 한국윤활학회 2001년도 제34회 추계학술대회 개최
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• pp.290-295
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• 2001

The surface morphology of oil-lubricated surface for hydraulic piston motor is believed to be extremely effective in contact mechanics. adhesion, friction and wear. In order to describe morphology of various rubbed surface on driving condition, the wear test was carried out under different experimental conditions in oil-lubricated system. And fractal descriptors was applied to rubbed surface of hydraulic driving material with image processing system. These descriptors to analyze surface structure are fractal dimension. Surface fractal dimension can be determined by sum of intensity difference of surface pixel. Morphology of rubbed surface can be effectively obtained by fractal dimensions.

• 콘크리트학회논문집
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• 제13권2호
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• pp.146-152
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• 2001

프랙탈 기하는 재료의 파괴거동과 같은 자연계에 존재하는 불규칙한 현상을 비정수의 프랙탈 차원으로 정량화할 수 있다. 이런. 프랙탈 차원에 기초하면 프랙탈 도형은 도형의 일부를 확대하면 전체와 같아지는 자기상사성 특성을 지닌다. 프랙탈적 해석방법을 시멘트 복합체의 파괴시의 균열성장거동에 적용하여 복합체의 미세구조와 파괴거동과의 관계를 알아볼 수 있다. 본 연구의 목적은 시멘트 복합체의 파괴시 소산되는 에너지와 균열의 프랙탈 차원과의 관계를 알아보는데 있다. 시멘트 복합체의 파괴실험을 실시하여 파괴에너지를 측정한 후, 파괴시 형성된 균열형상의 프랙탈 차원을 박스계수법을 통해 산정하고 그 관계를 알아보았다. 실험결과 프랙탈 차원과 파괴에너지의 관계는 비례관계를 나타냈으며 파괴에너지에 대한 프랙탈 차원의 정량적 평가가 가능하다고 사료된다.

• 한국결정성장학회지
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• 제9권3호
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• pp.334-338
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• 1999

p형 단결정 규소 웨이퍼를 불화수소 용액속에서 전류밀도와 양극반응 시간을 변화시켜 다공질규소를 제작하고, 그 질량을 측정한 후 이 값으로부터 다공도와 쪽거리(fractal) 차원을 계산하였다. 그 결과 양극반응 시간이 일정한 경우 다공도는 전류밀도에 비례하였다. 그리고 전류밀도가 일정한 경우 여러 양극반응 시간의 데이터로부터 얻은 쪽거리 차원은 일정하였다. 또한 쪽거리 차원은 불화수소의 농도 증가에 따라 감소하였다. 이같은 실험결과를 퍼짐한계침전(diffusion limited depostion) 모형으로 계산된 2차원 컴퓨터 시늉내기(simulation) 결과와 비교 분석하였다. 시늉내기 결과 다공도는 퍼짐거리에 비례하였으며, 쪽거리 차원은 퍼짐거리와 반비례하였다. 이때 퍼짐거리는 전류밀도에 비례하고 불화수소의 농도에 반비례하는 물리량이므로 정성적으로 실험결과와 일치하였다. 그러나 쪽거리 차원이 증가함에 따라 다공도가 감소되는 결과는 실험결과와 상반되었다.

• 대한기계학회논문집A
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• 제23권7호
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• pp.1065-1074
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• 1999

This study proposes the analysis and evaluation method of time series ultrasonic signal using the chaotic feature extraction for ultrasonic pattern recognition. Features extracted from time series data using the chaotic time series signal analysis quantitatively welding defects. For this purpose analysis objective in this study is fractal dimension and Lyapunov exponent. Trajectory changes in the strange attractor indicated that even same type of defects carried substantial difference in chaoticity resulting from distance shills such as 0.5 and 1.0 skip distance. Such differences in chaoticity enables the evaluation of unique features of defects in the weld zone. In experiment fractal(correlation) dimension and Lyapunov exponent extracted from 6dB ultrasonic defect signals of weld zone showed chaoticity. In quantitative chaotic feature extraction, feature values(mean values) of 4.2690 and 0.0907 in the case of porosity and 4.2432 and 0.0888 in the case of incomplete penetration were proposed on the basis of fractal dimension and Lyapunov exponent. Proposed chaotic feature extraction in this study enhances ultrasonic pattern recognition results from defect signals of weld zone such as vertical hole.

• Imaging Science in Dentistry
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• 제37권4호
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• pp.211-215
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• 2007

Purpose: The purpose of this study was to evaluate the effect of the kV on fractal dimension of trabecular bone in digital radiographs. Materials and Methods: 16 bone cores were obtained from patients who had taken partial resection of tibia due to accidents. Each bone core along with an aluminum step wedge was radiographed with an occlusal film at 0.08 sec and with the constant film-focus distance (32 cm). All radiographs were acquired at 60, 75, and 90 kV. A rectangular ROI was drawn at medial part, distal part, and the bone defect area of each bone core image according to each kV. The directional fractal dimension was measured using Fourier Transform spectrum, and the anisotropy was obtained using directional fractal dimension. The values were compared by the repeated measures ANOVA. Results : The fractal dimensions increased along with kV increase (p < 0.05). The anisotropy measurements did not show statistically significant difference according to kV change. The fractal dimensions of the bone defect areas of the bone cores have low values contrast to the non-defect areas of the bone cores. The anisotropy measurements of the bone defect areas were lower than those of the non-defect areas of the bone cores, but not statistically significant. Conclusion: Fractal analysis can notice a difference of a change of voltage of x-ray tube and bone defect or not. And anisotropy of a trabecular bone is coherent even with change of the voltage of x-ray tube or defecting off a part of bone.

• 한국수자원학회논문집
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• 제54권1호
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• pp.49-60
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• 2021

본 연구에서는 Fractal 나무의 개념을 이용하여 자연유역의 두 가지 개별적 Fractal 차원을 추정하는 방법을 제시하고자 한다. 이를 위하여 Fractal 나무의 성장 과정을 기반으로 유역 내부에서 발생 가능한 모든 배수 경로를 추출하여 완전한 배수망을 구성하고 이에 해당하는 Fractal 특성을 분석해 보고자 한다. 유역 내부에서 Fractal 나무의 성장 과정은 하천 유동의 특성을 가지는 배수 경로에서만 제한적으로 나타날 수 있다. 소규모 유역의 경우 Fractal 나무의 성장 단계에 따라 망상 구조의 분기 특성이 단일 하천 구간의 사행 특성에 비하여 민감하게 변화하여 단일한 망상 구조 속에서도 다양한 분기 구조가 생성될 수 있다. 따라서 소규모 유역을 대상으로 한 망상 구조에 대한 Fractal 차원은 단일한 수치의 고정된 형태보다는 범위의 형태로 취급되어야 하는 것이 타당한 것으로 판단된다. 또한, 소규모 유역의 배수 구조에 대한 분석에는 지형도나 수치지도로부터 추출한 하천망보다 본 연구에서 제시한 Fractal 나무의 성장에 따른 망상 구조와 같은 정보가 더 유용할 수 있을 것으로 판단된다.

• Journal of Welding and Joining
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• 제18권5호
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• pp.77-83
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• 2000

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 difference 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 analysis and DAC in this study can enhance the precision rate of ultrasonic evaluation for defect signals of rail weld zone such as side hole and crack.