• Title/Summary/Keyword: Fractal Analysis

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Analysis of Spatial Structure in Geographic Data with Changing Spatial Resolution (해상도 변화에 따른 공간 데이터의 구조특성 분석)

  • 구자용
    • Spatial Information Research
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    • v.8 no.2
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    • pp.243-255
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    • 2000
  • The spatial distribution characteristics and patterns of geographic features in space can be understood through a variety of analysis techniques. The scale is one of most important factors in spatial analysis techniques. This study is aimed at identifying the characteristics of spatial data with a coarser spatial resolution and finding procedures for spatial resolution in operational scale. To achieve these objectives, this study selected LANSAT TM imagery for Sunchon Bay, a coastal wetland for a study site, applied the indices for representing scale characteristics with resolution, and compared those indices. Local variance and fractal dimension developed by previous studies were applied to measure the textual characteristics. In this study, Moran s I was applied to measure spatial pattern change of variance data which were generated from the process of coarser resolution. Drawing upon the Moran s I of variancedata was optimum technique for analysing spatial structure than those of previous studies (local variance and fractal dimension). When the variance data represents maximum Moran´s I at certainly resolution, spatial data reveals maximum change at that resolution. The optimum resolution for spatial data can be explored by applying these results.

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The Analysis of Landscape Ecological Characteristics in Rural Residential Area (농촌 정주공간의 경관생태학적 특성 분석 - 내태1리와 검단1리의 사례지를 중심으로 -)

  • Ra, Jung-Hwa;Cha, Sung Yun;Do, Hu-Jo;Lee, Jung Min
    • Journal of the Korean Society of Environmental Restoration Technology
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    • v.8 no.2
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    • pp.1-20
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    • 2005
  • The purpose of this paper is to classify two study sites into the biotope types and investigate the landscape ecological characteristics of them. This will be available for the rural planning in the aspect of environmental preservation. The summaries of the result are as follows. 1) In the result of the area assessment in biotope groups, a dry field (32%) and a paddy field (28%) are more than 50%, but settlement space and water space are less than 10%. The result shows the land use condition of rural areas. 2) In the investigation result of elongation, running water spaces are higher than other biotope groups relatively, it is because they long shaped and 1-3m narrow. 3) In case of Fractal index analysis, residential spaces and cultivated lands are investigated to be lower in numerical value, it is because they have the definite borders and get simple in the border of landscape by human intervention. 4) In case of dispersion degree, the dry field has the highest value because they are located close by forests spread widely around study sites. It means that the land which is used by artificial purpose get more value rather than natural lands 5) In the connectivity analysis, a paddy field and a residential space appear the highest. It is because residence spaces spread intensively through roads and a paddy field, through streams. 6) In rural landscape, the diversity of landscape is investigated to be simple. A paddy field and a dry field contain small sized patches that have been divided by human intervention. Besides, there appear much different vegetation around waterways and farm-roads.

Surface roughness analysis of distributed Bragg reflectors in vertical-cavity surface-emitting lasers by measuring the scattering distribution function (광 산란 측정을 통한 수직 공진 표면광 레이저 반사경의 계면 거칠기 분석)

  • Ju, Young-Gu;Kang, Myung-Su;lee, Yong-Hee;Shin, Hyun-Kuk;Kim, Il
    • Korean Journal of Optics and Photonics
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    • v.9 no.2
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    • pp.63-69
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    • 1998
  • For detailed characterization of scattering losses occurring in VCSEL's distributed Bragg reflectors, we performed scattering experiment and obtained the information about surface roughness through the analysis of a modified transmission matrix method. The various wafers grown for VCSELs were used for the scattering experiment. The fractal surface assumption and extrapolation is used to estimate the scattered intensity near specular angle. The modified transmission matrix method employed in the analysis considers the scattering loss at each interface and calculates the reflectivity efficiently and easily. As a result, the surface roughness ranges from $4{\AA}$ to $10{\AA}$ The reduction of reflectivity due to the scattering amounts to 0.26% in case of $10{\AA}$ roughness.

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Fractal dimension analysis on CBCT scans for detecting low bone mineral density in postmenopausal women

  • Carvalho, Bruno Fontenele;de Castro, Julia Goncalves Koehne;de Melo, Nilce Santos;Figueiredo, Paulo Tadeu de Souza;Moreira-Mesquita, Carla Ruffeil;de Paula, Ana Patricia;Sindeaux, Rafael;Leite, Andre Ferreira
    • Imaging Science in Dentistry
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    • v.52 no.1
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    • pp.53-60
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    • 2022
  • Purpose: The aim of this study was to compare the fractal dimension (FD) measured at 2 bone sites (second cervical vertebra and mandible) on cone-beam computed tomography (CBCT). The research question was whether FD could serve as an accessory tool to refer postmenopausal women for densitometric analysis. Therefore, the reliability and accuracy of FD were evaluated. Materials and Methods: In total, 103 postmenopausal women were evaluated, of whom 52 had normal bone mineral density and 51 had osteoporosis, according to dual X-ray absorptiometry of the lumbar spine and hip. On the CBCT scans, 2 regions of interest were selected for FD analysis: 1 at the second cervical vertebra and 1 located at the mandible. The correlations between both measurements, intra- and inter-observer agreement, and the accuracy of the measurements were calculated. A P value less than 0.05 was considered to indicate statistical significance for all tests. Results: The mean FD values were significantly lower at the mandibular region of interest in osteoporotic patients than in individuals with normal bone mineral density. The areas under the curve were 0.644 (P=0.008) and 0.531 (P=0.720) for the mandibular and vertebral sites, respectively. Conclusion: FD at the vertebral site could not be used as an adjuvant tool to refer women for osteoporosis investigation. Although FD differed between women with normal BMD and osteoporosis at the mandibular site, it demonstrated low accuracy and reliability.

Efficient Estimation of the Fractal Dimension from Time Series Data Using LTS (Least Trimmed Squares) Estimator for EEG (Encephalogram) Analysis (뇌파 분석을 위한 LTS 추정기법을 이용한 시계열 데이터의 효율적인 프랙탈 차원 추정)

  • 이광호
    • Proceedings of the Korean Information Science Society Conference
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    • 1998.10c
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    • pp.78-80
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    • 1998
  • 본 논문은 일차원의 시계열 데이터를 입력을 하여 위상공간 재구성 과정을 거쳐 다차원 위상공간상에서 프랙탈 차원을 계산하는 효율적인 방법을 제안한다. 프랙탈 차원의 추정에 소요되는 계산량을 줄이기 위해 로그 연산을 비트 연산으로 대체하고, 거리계산의 순서를 바꿈으로써 위상공간의 차원에 무관한 상수 시간의 계산복잡도를 가지는 알고리즘을 구현하였다. 또한 최소절단자승 추정기법을 적용하여 로그-로그 그래프 상에서의 기울기 추정을 함으로써 프랙탈 차원의 추정치에 대한 정확도를 높였다. 참값이 알려진 시계열 데이터에 대한 차원 추정 실험을 통하여 제안된 방법의 정확성을 보였다.

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Correlation of bone quality in radiographic images with clinical bone quality classification (방사선사진에서의 골질과 임상적으로 평가한 골질 분류의 상관관계)

  • Kim Hyun-Woo;Huh Kyung-Hoe;Park Kwan-Soo;Kim Jeong-Hwa;Yi Won-Jin;Heo Min-Suk;Lee Sam-Sun;Choi Soon-Chul
    • Imaging Science in Dentistry
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    • v.36 no.1
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    • pp.25-32
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    • 2006
  • Purpose : To investigate the validity of digital image processing on panoramic radiographs in estimating bone quality before endosseous dental implant installation by correlating bone quality in radiographic images with clinical bone quality classification. Materials and Methods : An experienced surgeon assessed and classified bone quality for implant sites with tactile sensation at the time of implant placement. Including fractal dimension eighteen morphologic features of trabecular pattern were examined In each anatomical sites on panoramic radiographs. Finally bone quality of 67 implant sites were evaluated in 42 patients. Results : Pearson correlation analysis showed that three morphologic parameters had weak linear negative correlation with clinical bone quality classification showing correlation coefficients of -0.276, -0.280, and - 0.289, respectively (p<0.05). And other three morphologic parameters had obvious linear negative correlation with clinical bone quality classification showing correlation coefficients of -0.346, -0.488, and -0.343 respectively (p<0.05). Fractal dimension also had a linear correlation with clinical bone quality classification with correlation coefficients -0.506 significantly (p<0.05). Conclusion : This study suggests that fractal and morphometric analysis using digital panoramic radiographs can be used to evaluate bone quality for implant recipient sites.

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The Resolution Effects of the Satellite images on the Interpretability of Geographic Informations - Laying Emphasis on the Interpretability and the Fractal Dimension (위성영상의 해상력에 따른 지리정보의 판독 - 판독가능성과 프랙탈 차원을 중심으로)

  • Kim, Yong-Il;Seo, Byoung-Jun;Ku, Bon-Chul
    • Journal of Korean Society for Geospatial Information Science
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    • v.8 no.2 s.16
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    • pp.61-69
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    • 2000
  • Until now, the extraction of information on geographic features and the compilation of maps from satellite imagery has had many limitations because of its lower resolution compared to aerial photos to the recent. However, it is expected that the availability of high resolution satellite imagery whose spatial resolution is about 1m will reduce such limitations. Currently, a compilation of national-wide digital base maps is going on to construct the National Geographic Information Systems in Korea. It will be used for many application field of the social welfare. Therefore, in this study, we suggest that satellite imagery can help it and we have experimented on the possibility of detecting and interpreting geographic data using satellite imagery of various spatial resolutions. The interpretability and detectability of 46 features in 6 categories was experimented with 6 kinds of images of different resolutions. As a subsequent procedure, we have performed the fractal analysis for a quality test of the texture information. Through the fractal analysis, we could show that texture information and probability of discrimination increases as the spatial resolution of the image increases. Based on the results of this experiment, we could suggest the possibility of the renewal and construction of the National-wide Geographic Information Systems database using satellite imagery, as well as of examining appropriate spatial resolutions for objects of interest.

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Multi-Scaling Models of TCP/IP and Sub-Frame VBR Video Traffic

  • Erramilli, Ashok;Narayan, Onuttom;Neidhardt, Arnold;Saniee, Iraj
    • Journal of Communications and Networks
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    • v.3 no.4
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    • pp.383-395
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    • 2001
  • Recent measurement and simulation studies have revealed that wide area network traffic displays complex statistical characteristics-possibly multifractal scaling-on fine timescales, in addition to the well-known properly of self-similar scaling on coarser timescales. In this paper we investigate the performance and network engineering significance of these fine timescale features using measured TCP anti MPEG2 video traces, queueing simulations and analytical arguments. We demonstrate that the fine timescale features can affect performance substantially at low and intermediate utilizations, while the longer timescale self-similarity is important at intermediate and high utilizations. We relate the fine timescale structure in the measured TCP traces to flow controls, and show that UDP traffic-which is not flow controlled-lacks such fine timescale structure. Likewise we relate the fine timescale structure in video MPEG2 traces to sub-frame encoding. We show that it is possibly to construct a relatively parsimonious multi-fractal cascade model of fine timescale features that matches the queueing performance of both the TCP and video traces. We outline an analytical method ta estimate performance for traffic that is self-similar on coarse timescales and multi-fractal on fine timescales, and show that the engineering problem of setting safe operating points for planning or admission controls can be significantly influenced by fine timescale fluctuations in network traffic. The work reported here can be used to model the relevant characteristics of wide area traffic across a full range of engineering timescales, and can be the basis of more accurate network performance analysis and engineering.

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