• 한국수자원학회논문집
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• 제41권8호
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• pp.797-806
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• 2008

본 연구에서는 특정 해상도상에서 정의되는 유역의 모든 배수경로들로 구성되는 배수망을 도시하여 자연유역의 배수구조에 대한 기하학적 특성을 분석하여 보았다. 이를 위하여 Fractal 나무와 Horton의 법칙을 기반으로 분기에 의하여 조직되는 망상구조에 대하여 이론적 고찰을 수행하였다. 배수망의 작도에는 ArcGIS를 적용하였고 작도된 배수망에 대하여 Strahler의 차수기법에 따라 위상구조를 수립하여 차수별 배수구조의 기하학적 특성을 분석하고자 시도하여 보았다. Richardson의 방법에 따라 배수구조의 Fractal 특성을 분석해 본 결과 지표면유동과 하천유동 사이에는 개별적인 거동특성이 존재할 수 있음을 볼 수 있었고 자연유역의 하천망은 공간을 채워가는 Fractal 도형임을 확인할 수 있었다. 본 연구의 결과로부터 지표면유동을 포함한 망상구조에 대한 Fractal 이론을 실제유역에 적용하였을 경우 지금까지의 경험식에 의한 차수법칙과 상이한 결과를 나타냄을 알 수 있었다. 이의 결과들은 추후 망상구조의 결정에 크게 기여될 수 있으리라 판단된다.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제15권2호
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• pp.121-125
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• 2015

In this paper, we propose a method that extracts features from character patterns using the fractal dimension of chaos theory. The input character pattern image is converted into time-series data. Then, using the modified Henon system suggested in this paper, it determines the last features of the character pattern image after calculating the box-counting dimension, natural measure, information bit, and information (fractal) dimension. Finally, character pattern recognition is performed by statistically finding each information bit that shows the minimum difference compared with a normalized character pattern database.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2002년도 하계학술대회 논문집 Vol.3 No.2
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• pp.927-930
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• 2002

The HFPD measurement method is a technique to analyze aging state of high voltage insulation materials and detect higher frequency signals than conventional PD measurement method therefore it takes less noise effect and could execute active line measurement. It is possible to analyze main discharge phenomena and obtain access to aging progress occurred in insulation materials through accumulation of HFPD signals during determined interval and expression of fractal dimension using statistical process of accumulated signals. In this study, the statistical parameters (skewness & kurtosis) and fractal dimensions are changed by discharge patterns that is shown up different characteristics with applied voltages and times.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2000년도 춘계학술대회 논문집 유기절연재료 방전 플라즈마
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• pp.55-58
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• 2000

Fractal mathematics is being highlighted as a research method for classification of image. But the application of Fractal dimension(FD) 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(FD) 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.

• 한국항해항만학회지
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• 제33권6호
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• pp.451-456
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• 2009

저해상도 3D 해저 디지털 지형 모형(Digital terrain model: DTM)의 이미지를 컴퓨터 화면에 확대 표시할 때 데이터가 없는 픽셀은 인위적으로 보간해서 표시할 수밖에 없다. 따라서 본 연구에서는 기존의 선형 보간법의 문제점을 개선하기 위해 저해상도 DTM으로부터 지형정보를 추출하고 이로부터 보간하는 방법을 다룬다. 이를 위해 DTM을 다수의 패치로 분할하고 프랙탈 이론(Fractal theory)를 이용하여 프랙탈 차원을 추정하고, 추정 정보와 원래의 데이터를 근간으로 패치 지형을 Midpoint Displacement법으로 보간하고, 보간된 이미지의 국부적인 기복을 완화해 자연스런 해저지형을 만들기 위해 미디언 필터(Median filter)를 이용한다. 가상의 프랙탈 지형 맵을 이용하여 제안된 알고리즘의 그 유효성을 검정한다.

• 대한의용생체공학회:의공학회지
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• 제16권1호
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• pp.17-24
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• 1995

본 논문은 iterated contractive transformations을 이용한 심전도 데이터 압축에 관한 새로운 방법을 제안한다. 이방법은 piecewise self-affine fractal interpolation(PSAFI)에 의해 심전도 신호의 임의 구간들을 표현한다. Piecewise self-affine fractal model은 자기자신의 수축적 유사 변환으로 구성된다고 볼 수 있는 이산 데이터에 사용된다. 제안된 알고리즘은 MIT/BIH arrhythmia 데이터베이스로 평가되었다. PSAFI는 주어진 압축율에서 기존의 직접 압축 방법보다 상대적으로 적은 재생 오차를 나타냈다. 샘플링 주파수는 400Hz이고 resolution은 12bits인 원래 신호에 대해 압축율이 883.9bps일때 평균재생오차(APRD)는 5.39%를 나타냈다.

• Imaging Science in Dentistry
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• 제31권1호
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• pp.35-42
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• 2001

Purpose: To evaluate the usefulness of fractal analysis for diagnosis of periodontitis. Materials and Methods : Each 30 cases of periapical films of male mandibular molar were selected in normal group and patient group which had complete furcation involvement. They were digitized at 300 dpi, 256 gray levels and saved with gif format. Rectangular ROIs (10×20 pixel) were selected at furcation, interdental crest, and interdental middle 1/3 area. Fractal dimensions were calculated three times at each area by mass radius method and were determined using a mean of three measurements. We compared fractal dimensions at furcation and interdental crest area of normal group with those of patient group. And then we compared ratio of fractal dimensions at furcation area, interdental crest area to interdental middle 1/3 area. Results: Fractal dimension at interdental crest area of normal group was 1.979±0.018 and that of patient group 1.971±0.012 (p>0.05). Fractal dimension at furcation area of normal group was 1.986±0.024 and that of patient group 1.974±0.015 (p<0.05). The ratio of fractal dimension at interdental crest area to interdental middle 1/3 of normal group was 1.003±0.015 and that of patient group 0.993±0.018 (p<0.05). The ratio of fractal dimension at furcation area to interdental middle 1/3 of normal group was 1.006±0.018 and that of patient group 0.994±0.018 (p<0.05). Conclusion : The ratio of fractal dimension at interdental crest and furcation area to interdental middle 1/3 area showed a statistically significant difference between normal and patient group. In conclusion, it is thought that fractal analysis might be useful for the diagnosis of periodontitis.

• 대한치과교정학회지
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• 제46권5호
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• pp.323-330
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• 2016

Objective: The purpose of this study was to determine whether the results of fractal analysis can be used as criteria for midpalatal suture maturation evaluation. Methods: The study included 131 subjects aged over 18 years of age (range 18.1-53.4 years) who underwent cone-beam computed tomography. Skeletonized images of the midpalatal suture were obtained via image processing software and used to calculate fractal dimensions. Correlations between maturation stage and fractal dimensions were calculated using Spearman's correlation coefficient. Optimal fractal dimension cut-off values were determined using a receiver operating characteristic curve. Results: The distribution of maturation stages of the midpalatal suture according to the cervical vertebrae maturation index was highly variable, and there was a strong negative correlation between maturation stage and fractal dimension (-0.623, p < 0.001). Fractal dimension was a statistically significant indicator of dichotomous results with regard to maturation stage (area under curve = 0.794, p < 0.001). A test in which fractal dimension was used to predict the resulting variable that splits maturation stages into ABC and D or E yielded an optimal fractal dimension cut-off value of 1.0235. Conclusions: There was a strong negative correlation between fractal dimension and midpalatal suture maturation. Fractal analysis is an objective quantitative method, and therefore we suggest that it may be useful for the evaluation of midpalatal suture maturation.

• Journal of Electrochemical Science and Technology
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• 제1권2호
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• pp.112-116
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• 2010

Fractal property of the passivated steel surface was investigated on the basis of scaling analysis with a special focus on its relationship with corrosion resistance. For this purpose, the surface of stainless steel was intentionally oxidized under a variety of passivation conditions and its scaling property was analyzed by a triangulation method. The morphology of the passivated steel surface was satisfactorily evaluated with fractal dimension. From the chronoamperometry and impedance measurement, it proved that lower fractal dimension leads to more enhanced corrosion resistance. The higher passivity of the steel surface with lower fractal dimension was discussed in terms of active area and structural imperfection.

• 한국전기전자재료학회논문지
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• 제15권4호
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• pp.332-337
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• 2002

The applicability of models based on fractal geometry to characterize the surface of the EL devices was investigated. Insulating layer and phosphor layer of EL devices were deposited on ITO glass using e-beam method. The images of phosphor layer by scanning electron microscope(SEM) were transformed to binary coded data. The relations between fractal geometry and electrical characteristics of EL devices were investigated. When the fractal dimension of $Cas:EuF_3$ EL device was 1.82 and its grain boundary area was 19%, the brightness of $Cas:EuF_3$ EL device was 261 cd/$\textrm{m}^2$.