• 한국정밀공학회지
• /
• 제16권11호
• /
• pp.234-242
• /
• 1999

In this paper, a method for assessment of the anisotropic machined surfaces is proposed. Fractal dimension (FD) is calculated using structure function and an index of the anisotropy is obtained as a ratio of its maximum and minimum value. The upper limit of fractal region on the structure function is determined as the length of the lag where the autocorrelation function shows 20% of its maximum value. The model of the structure function is derived from that of the auto correlation function. And, it shows that the new method and the proposed index of anisotropy are useful.

• International Journal of Computer Science & Network Security
• /
• 제23권4호
• /
• pp.69-78
• /
• 2023

With the global rise of digital data, the uncontrolled quantity of data is susceptible to cyber warfare or cyber attacks. Therefore, it is necessary to improve cyber security systems. This research studies the behavior of malicious acts and uses Higuchi Fractal Dimension (HFD), which is a non-linear mathematical method to examine the intricacy of the behavior of these malicious acts and anomalies within the cyber physical system. The HFD algorithm was tested successfully using synthetic time series network data and validated on real-time network data, producing accurate results. It was found that the highest fractal dimension value was computed from the DoS attack time series data. Furthermore, the difference in the HFD values between the DoS attack data and the normal traffic data was the highest. The malicious network data and the non-malicious network data were successfully classified using the Receiver Operating Characteristics (ROC) method in conjunction with a scaling stationary index that helps to boost the ROC technique in classifying normal and malicious traffic. Hence, the suggested methodology may be utilized to rapidly detect the existence of abnormalities in traffic with the aim of further using other methods of cyber-attack detection.

• Current Optics and Photonics
• /
• 제3권1호
• /
• pp.54-65
• /
• 2019

To develop a biomarker predicting tumor treatment efficacy is helpful to reduce time, medical expenditure, and efforts in oncology therapy. In clinics, microvessel density using immunohistochemistry has been proposed as an indicator that correlates with both tumor size and metastasis of cancer. In the preclinical study, we hypothesized that vascular morphometrics using optical coherence tomography angiography (OCTA) could be potential indicators to estimate the treatment efficacy of breast cancer. To verify this hypothesis, a 13762-MAT-B-III rat breast tumor was grown in a dorsal skinfold window chamber which was applied to a nude mouse, and the change in vascular morphology was longitudinally monitored during tumor growth and metronomic cyclophosphamide treatment. Based on the daily OCTA maximum intensity projection map, multiple vessel parameters (vessel skeleton density, vessel diameter index, fractal dimension, and lacunarity) were compared with the tumor size in no tumor, treated tumor, and untreated tumor cases. Although each case has only one animal, we found that the vessel skeleton density (VSD), vessel diameter index and fractal dimension (FD) tended to be positively correlated with tumor size while lacunarity showed a partially negative correlation. Moreover, we observed that the changes in the VSD and FD are prior to the morphological change of the tumor. This feasibility study would be helpful in evaluating the tumor vascular response to treatment in preclinical settings.

• 한국조경학회지
• /
• 제36권1호
• /
• pp.62-69
• /
• 2008

This study was conducted in order to recommend forest-based wildlife protection areas in Chung-nam Province using several basic habitat conditions. The conditions used in this study were the forest patch size with the potential to keep wildlife animals safe, the distance from water sources, and the availability of food for wildlife. The fractal dimension index was also used to find the edge line dynamics, which can influence on habitat conditions for edge species. The natural conservation management indices including a forest map (indicating the level of forest age), a slope map, and an elevation map were used to find the forest patches with enough space for wildlife to live on. Water resources and their buffer areas were considered as factors to protect the space as an ecological corridor. Deciduous trees and trees mixed with deciduous trees and conifers were chosen to provide wildlife animals their food. In total, 525 forest patches were chosen and recommended for the wildlife protection area. Five of these forest patches were recommended as wildlife protection areas managed by the provincial government. The other 520 forest patches were recommended to protect local wildlife animals and be managed by each county or city. These forest patches were located around the Geum-buk and Geum-nam mountains, and the forest patches are important resources as habitats to keep wildlife in the area. An ecological network consists of these separate forest patches with the ecological integration. A fractal dimension index was used to divide forest patches into several categories in order to find how patches are shaped. The forest patches with longer edges or more irregular shapes have a much higher possibility of being inhabited by various types of edge species. Through comparison of the wildlife protection areas recommended in this study to the current wildlife protection areas, we recognized that the current wildlife protection areas need boundary adjustments in order for wildlife animals to survive by themselves with water sources and food.

• 생태와환경
• /
• 제33권2호통권90호
• /
• pp.69-79
• /
• 2000

Fractal geometry has become one of prospective research approaches as the complex structure of natural entities is not easily characterized by traditional Euclidean geometry. With the fractal geometry, we can better decipher the complex structure and identify natural and anthropogenic agents of landscape patterns occurring at different spatial scales. The usefulness of fractal, however, has not been fully appreciated among Korean academic societies, especially in ecological and limnological fields. We attempt to address three points in this study. First, we introduce the concept and dimension of fractal and review relevant research approaches, especially with respect to ecological and limnological phenomena. Second, we explore possible applications of fractal to some aspects of geography and land use characteristics in South Korea. For the analyses of fractal dimensions, we used data published in other studies previously and collected for this study. Data were analyzed by a perimeter/area method of fractal dimension for the spatial distribution of global solar radiation and leaf area index, and the movement of wild boars in forested landscapes of mid-eastern Korea. The same approach was also applied to the water channel of a hypothetical river and the shape of reservoirs in Yongin, Kyunggi Province. Finally, we discuss the results and key issues to consider when a fractal approach is employed in ecology and limnology.

• 대한원격탐사학회지
• /
• 제23권6호
• /
• pp.567-573
• /
• 2007

조간대의 조류로 발달은 조간대 퇴적물 종류, 입도, 조성 및 조류의 세기 등에 많은 영향을 받는다. 조류로의 발달 특성, 밀도, 형태 등은 조간대의 특징을 분석하는데 활용될 수 있다. 그러나 조류로에 대한 정량적 분석은 시도되지 못하고 있다. 따라서 이번 연구의 목적은 고해상도 위성 영상 자료를 이용하여 조류로에 대한 프랙털 차원 결과와 조류로 발달에 영향을 주는 지형(DEM : Digital Elevation Model)을 비교 분석하는 것이다. 이번 연구에서는 프랙털 분석 중에서 하천 해안 등 선형의 특징에 많은 적용을 하는 box counting 방법을 이용하였다. 연구 지역은 조차가 심한 강화도 남단의 조간대이다. 연구 방법은 IKONOS 영상으로부터 조류로를 추출한 뒤 프랙털 차원을 구하였다. 그 결과 프랙털 차원은 약 $1.0{\sim}1.35$ 정도의 결과 값을 얻었다. 지형이 낮으며 채널의 발달이 미비한 지역(강화도 남단 여차리 부근)에서는 프랙털 차원이 약 $1.0{\sim}1.2$ 정도의 낮은 값을 가지는 반면에 지형이 높고 채널 발달이 수지상으로 잘 발달된 지역(영종도 북단)의 프랙털 차원은 약 $1.20{\sim}1.35$ 정도의 높은 값을 가진다. 이 분석으로부터 프랙털 분석으로 인하여 조류로의 정량적 분류가 가능하며 지역의 지형에 따라서 조류로의 발달 형태가 달라 프랙털 차원 값이 다르다는 결론을 얻었다.

• Environmental Engineering Research
• /
• 제17권3호
• /
• pp.139-144
• /
• 2012

In this study, the effects of starvation on floc characteristics when treating saline wastewater using a sequencing batch reactor (SBR) were investigated. The effectiveness over 5 days of starvation for aerobic and non-aerobic strategies for maintaining the physical characteristics of floc-forming sludge and the recovery period needed to regain the initial pollutant removal efficiency were investigated. Experiment results revealed that the sludge volume index (SVI) increased and the floc size and fractal dimension decreased after starvation under both aerobic and non-aerobic conditions. Sludge settleability deteriorated faster under aerobic conditions compared to non-aerobic conditions. Under non-aerobic conditions, the SBR required less time to return to its initial pollutant removal efficiency and settleability. Floc size, fractal dimension, and SVI were observed to be fairly correlated with each other. The results demonstrated that it was better to maintain the sludge under non-aerobic rather than aerobic starvation, because it adapted to, resisted starvation and had a quicker re-start afterward.

• 대한원격탐사학회:학술대회논문집
• /
• 대한원격탐사학회 2007년도 Proceedings of ISRS 2007
• /
• pp.29-32
• /
• 2007

Tidal channel development is influenced by sediment type, grain size, composition and tidal current. Tidal channels are usually characterized by channel development, density and shape. Quantitative analysis of tidal channels using remotely sensed data have rarely been studied. The objective of this study is to quantify tidal channels in terms of fractal dimension and compare different inter-tidal channel patterns. For the fractal analysis, we used Box counting method which had been successfully applied to streams, coastlines and others linear features. For a study, the southern part of Ganghwado tidal flats was selected where is famous for high dynamics of tidal currents and vast tidal flats. This area has different widths and lengths of tidal channels. IKONOS and Komsat-2 MSC images were used for extracting tidal channels, and the Box counting method was applied to obtain fractal dimensions (D) for each tidal channel. Yeochari area possesses channels with linear pattern and less dense development and accordingly show low D values ranging from 1.037 to 1.038. On other hands, area (near Donggumdo and Yeongjongdo ) of dendrites channel pattern and dense development resulted in high D values from 1.2057 to 1.2667. Also, area possesses channels with linear pattern had low density about $18{\sim}24%$. Area of dendritic channel pattern had high density about $34{\sim}69%$. The difference of fractal dimensions about 0.2 according to channel development in tidal flats is relatively large enough to use as an index for tidal channel classification. Also, area where channels showed linear pattern had low density about $18{\sim}24%$. Area of dendritic channel pattern had high density about $34{\sim}69%$. Using fractal dimension and density, it would be possible to quantify the tidal channel development in association with surface characteristics.

• 한국지리정보학회지
• /
• 제2권3호
• /
• pp.16-22
• /
• 1999

생물서식지의 다양한 공간구조는 생물의 종 다양성과 밀접한 관계를 가지고 있다. 인구의 증가, 농업의 발달, 그리고 도시의 발전은 최근에 다양한 경관의 변화를 가져왔다. 이러한 경관의 변화는 생태적 구성인자의 서식지 감소와 파편화(fragmentation)를 초래하였다. 본 연구에서는 Landsat TM을 이용하여 식생지수를 산출하고 이를 식생 패치의 경계길이 대 면적 (perimeter : area, P/A ratio), Shape Index(SI), 프렉탈 디멘죤(D)에 의해 추출한 파편화지수를 분석하였다. NDVI에 의한 경관파편화의 분석은 0.5~1의 구간 값을 이용하는 것이 가장 파편화를 용이하게 구분할 수 있음을 알 수 있었다. 또한, 서울 경기지역의 식생 파편화는 프렉탈 디멘죤에 의해 구분할 때 가장 효과적으로 식생 패치의 파편화를 구분해 낼 수 있음을 알 수 있었다. 향후 동일지역에 대한 식생 패치의 시계열적인 분석과 다양한 토지이용에 대한 식생 파편화의 분석을 비교 연구하여 식생 보전과 생물다양성의 전략을 제시할 수 있을 것이다.

• 한국균학회지
• /
• 제29권2호
• /
• pp.91-98
• /
• 2001

버섯의 액체배양에 의한 균사체 및 세포외 다당 발효의 안정성과 생산성 증가를 도모하기 위하여, 영지(Ganoderma lucidum ASI 7004)의 액체배양 중, 배지조성($0{\sim}11\;g/l$의 ammonium)을 달리하여 균사체 형태 및 분화의 경시변화를 영상분석 시스템을 이용하여 분석하였다. 배지 조성 및 배양 조건에 따른 균사체 형태의 배양경시변화를 영상분석한 결과, non-branched long filamentous mycelium, non-branched short mycelium, branched long filamentous mycelium, branched short mycelium, entangled mycelium 및 각종 clump의 필라멘트 형태와, smooth pellet, rough pellet 및 hollow rough pellet의 펠렛 형태 등, 다양한 형태를 관찰할 수 있었다. Ammonium ion이 낮은 경우에는 필라멘트 형태의 균사 생육이 주인 반면, 높은 농도로 갈수록 펠렛 형태의 균사 생육이 주로 관찰되었다. 이러한 형태의 변화를 수치화 하는 수단으로 fractal 차원을 이용하여 형태를 분류한 결과, 11 g/l의 ammonium phosphate 농도에서 주로 나타나는 균사형태의 fractal 차원을 이용하여 형태를 분류한 결과, 11 g/l의 ammonium phosphate 농도에서 주로 나타나는 균사형태의 fractal 차원은 1.05 이었으나(펠렛형), ammonium phosphate의 결핍 시에 주로 나타나는 균사 형태의 fractal 차원은 1.3이었다(필라멘트형). 또 필라멘트형 및 펠렛형 균사체가 공존할 때의 fractal 차원은 1.16으로, 이들의 중간 값을 나타내었다. 따라서, fractal 차원은 균사 형태의 변화를 측정하는 지표 값으로 매우 유용할 것으로 생각되었다. 또 원형도는 펠렛형 균사체의 표면에서 균사 생육 정도를 판정하는데 유용한 것으로 나타났다.