• 제목/요약/키워드: Fractal Analysis

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프랙탈 분석을 이용한 낭종 적출술 후 결손부 치유 양상에 관한 연구 (Study on bone healing process following cyst enucleation using fractal analysis)

  • 임헌준;이승수;김원기;온병훈;최상문;오세리;민승기;이준
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • 제37권6호
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    • pp.477-482
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    • 2011
  • Introduction: Bone regeneration of cystic defects of the jaws after a cyst treatment requires lengthy healing periods. Generally, the bony changes are observed periodically through a visual radiographic reading as well as by the clinical opinion and radiographic images (panorama, periapical view), but it is difficult to compare the objective bony changes using only the radiographic density. In addition, it is difficult to observe minute bony changes through a visual radiographic reading, which can lead to a subjective judgment. This study exmined the bone density after the enucleation of a jaw cyst by fractal analysis. Materials and Methods: Eighteen patients with a cystic lesion on the jaw were assessed. Panoramic radiographs were taken preoperatively, immediately postoperatively, and 1, 3, 6 and 12 months after cyst enucleation. The images were analyzed by fractal analysis. Results: The mean fractal dimensions increased immediately after surgery and 3, 6 and 12 months postoperatively. The postoperative 6 and 12 months fractal dimension was similar to the controls. Conclusion: Fractal analysis was used to overcome the limit of a subjective reading during an assessment of bone regeneration after cyst enucleation.

다중해상도 웨이브렛 해석을 기본으로 한 가시화 영상의 극대값 해석 (Maxima Analysis from Visualized Image based on Multi-Resolution Analysis)

  • 박영식;김옥규
    • 융합신호처리학회논문지
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    • 제11권2호
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    • pp.157-162
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    • 2010
  • 이 논문은 이산 웨이브렛 영역에 기반을 둔 fractal 해석에 관한 것이다. 많이 알려진 퓨리어 변환은 임의 신호의 주파수 해석에 폭넓게 사용되어 왔다. 그러나 이 방법은 시간 축에서 발생하는 갑작스러운 신호 변환과 비정상적인 신호를 주파수 변환 영역에서 검출하기 어렵다. 웨이브렛 영역에서 극대 값은 Lipschitz 지수 표현이 가능하고, 또한 극대값만 사용하여 영상 데이터의 윤곽선 및 데이터 특성을 표현하는 유용함을 나타내었다. 이것은 극대 값만 사용하여 본래 영상을 재생하는 것도 가능하다. 극대값 해석을 위해서 기름을 사용한 가시화 영상을 획득했다. 그런 후 ship model의 가시화 영상에 적용했다. 더욱이 sediment 입자의 붕괴과정에 의한 fractal 차원을 조사하였다. 본 논문은 가시화 영상의 극대값으로 fractal 차원을 계산하였고, 실험으로 얻은 가시화 영상으로부터 얻은 해석도 적은 데이터로 기존의 방법과 같은 결과를 나타냄을 보였다.

플랙탈 이론의 지반공학에서의 응용 (The Application of Fractal Theory in Geotechnical Engineering)

  • 유찬;장병욱
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2001년도 학술발표회 발표논문집
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    • pp.360-364
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    • 2001
  • The fractal theory is an interesting tool for measuring the soil properties which are irregular and dynamical. A simple example is shown in this paper that (statistical) fractal dimension can be evaluated from the traditional Particle-size distribution(PSD) curve. The results of Wu et al.(1993) and Bittelli el al.(1999) were referred to demonstrate the fractal analysis.

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개 복부초음파영상의 프랙탈 분석과 히스토그램 분석의 비교평가 (Comparative Assessment of Fractal Analysis and Histogram in Canine Abdominal Ultrasonographic Images)

  • 최호정;이영원;정인조;왕지완;이경우;연성찬;이효종;이희천
    • 한국임상수의학회지
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    • 제24권4호
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    • pp.568-572
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    • 2007
  • This study was carried out to show at the fractal analysis complements the practical disadvantage of gray level histogram which is designed to measure the quantitative classification of echo patterns in ultrasonographic image of parenchymal organs such as spleen and kidney and it is a practical method of measurement for quantitative classification. By using ultrasonographs, kidney and spleen of 21 healthy Beagles were fixed under different gain settings to be scanned for echo patterns and results were analyzed with body gray level histogram and fractal analysis. Then it was compared based on the statistical data obtained. Although there was a proportionate increase in histogram along with gain settings, there were consistencies in the fractal dimension. In terms of quantitative analysis in ultrasonographic images, fractal analysis is concluded to complement the practical disadvantage of gray level histogram.

A clinical study of alveolar bone quality using the fractal dimension and the implant stability quotient

  • Lee, Dae-Hyun;Ku, Young;Rhyu, In-Chul;Hong, Jeong-Ug;Lee, Cheol-Woo;Heo, Min-Suk;Huh, Kyung-Hoe
    • 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.

프랙탈 분석을 통한 임플란트 주변골 평가 (Evaluation of peri-implant bone using fractal analysis)

  • 정연화
    • Imaging Science in Dentistry
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    • 제35권3호
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    • pp.121-125
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    • 2005
  • Purpose : The purpose of this study was to investigate whether the fractal dimension of successive panoramic radiographs of bone after implant placement is useful in the characterization of structural change in alveolar bone. Materials and Methods. Twelve subjects with thirty-five implants were retrospectively followed-up from one week to six months after implantation. Thirty-six panoramic radiographs from twelve patients were classified into 1 week, 1-2 months and 3-6 months after implantation and digitized. The windows of bone apical and mesial or distal to the implant were defined as periapical region of interest (ROI) and interdental ROI; the fractal dimension of the image was calculated. Results There was not a statistically significant difference in fractal dimensions during the period up to 6 months after implantation. The fractal dimensions were higher in 13 and 15mm than 10 and 11.5mm implant length at interdental ROIs in 3-6 months after implantation (P<0.01). Conclusion : Longer fixtures showed the higher fractal dimension of bone around implant. This investigation needs further exploration with large numbers of implants for longer follow-up periods.

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Fractal Dimension for Morphology Analysis of Rubbed Surface with Hydraulic Members

  • Cho, Yon-Sang;Seo, Young-Baek;Park, Heung-Sik
    • KSTLE International Journal
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    • 제3권2호
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    • pp.75-78
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    • 2002
  • The surface morphology of oil-lubricated surfaces fer hydraulic piston motors is believed to be extremely effective in contact mechanics, adhesion, friction and weak In order to describe morphology of various rubbed surfaces on driving conditions, the wear test was carried out under different experimental conditions in an oil-lubricated system. And fractal descriptors were applied to rubbed surfaces of hydraulic members and analyzed through an image processing system. These descriptors to analyze surface structure are fractal dimension. Surface fractal dimensions can be determined by sum of intensity difference of surface pixel. The morphology of rubbed surfaces can be effectively obtained by fractal dimension.

프랙탈 지수를 이용한 농촌 경관사진의 정량화 방안 연구 (A Study on the Quantifying of Rural Landscape Picture by Fractal Index)

  • 정호현;정남수
    • 농촌계획
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    • 제16권3호
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    • pp.11-17
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    • 2010
  • With international attention to the rural landscape, there have been landscape management and conservation efforts. Because it contains characteristics of rural area, rural landscape has been recognized as an important component of rurality. With rural amenity resources survey projects launched since 2005, rural landscape categorization and evaluation such as resource value, use value, beauty, originality, traditionality, maintenance are performed by expert questionnaire survey and 100 rural amenity resources are selected. In this study, we performed fractal analysis for developing evaluation system of the rural landscape photographs. In evaluating processes, main and surrounding landscape are separated and fractal indexes are calculated and analyzed with beauty value scoured by experts. Results show that beauty value is not significantly related with fractal index but differences of main and surrounding landscape fractal index.

표면경화강의 마찰면 형상특징 해석을 위한 프렉탈 차원의 적용 (Application of Fractal Demension for Topography Analysis of Frictional Surface of Case Hardened Steel)

  • 조연상;옥철호;박흥식;전태옥
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.755-759
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    • 2000
  • The determination of surface topography is believed to be extremely important in the areas of contact mechanics, adhesion and friction. In order to describe topography of various frictional surface. the wear test was carried out under different experimental conditions in dry friction. And fractal descriptors was applied to frictional surface of laser modified steel 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. Topography of frictional surface can be effectively obtained by fractal dimensions.

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Corrosion Resistance of Stainless Steels Analyzed by Fractal Geometry

  • Kim, Eun-Ji;Park, Su-Jin;Heo, Jung-Ho;Shin, Heon-Cheol
    • 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.