• The Research Journal of the Costume Culture
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• v.29 no.4
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• pp.522-537
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• 2021

The purpose of this study is to develop a knitwear design with the potential for practical use through a combination of science and design by examining the concept and formative characteristics of fractal geometry and applying them to the development of 3D virtual clothing knitwear design. This study produced five main conclusions. First, the sub-concepts of "Repeatability," "Scale variability," and "complexity," which are based on self-similarity, appear together with simple regularity in the fractal formative characteristics shown in fashion design. Second, fashion fields apply fractal geometry in three-dimensional surface textures and optical textile patterns as a method of expression. Third, it was confirmed that various expressions can be created with fractal patterns by using the SDS-ONE APEX 3-4 design system; moreover, fractal patterns are a suitable design source for the development of Jacquard knitwear patterns. Fourth, in the development of knitted jacquard fractal patterns, by arranging the patterns in perspective, the effect of emphasizing or reducing the human body by optical illusion was shown. Fifth, a knit Jacquard structure with a pattern that exhibits fractal modeling characteristics and applying it to a 3D virtual clothing sample design reduces the time required for sample production while expanding the knit design's expression area and reducing costs. Thus, the clothing sample confirmed the effectiveness of practical knitwear design development.

• Journal of the Korea Fashion and Costume Design Association
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• v.18 no.3
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• pp.165-181
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• 2016

This study looks into the Korean traditional costume formation and the thoughts of the Korean people that form the foundation of that Korean traditional costume formation. And the goal of this study is in linking the thoughts and formative characteristics reflected in the Korean traditional costume formation to the fractal geometry, in an attempt to reveal correlation between Korean traditional costume formation which have existed for thousands of years to contemporary science of the West. The fractal theory that appeared as the new paradigm of contemporary science displayed similarities with the traditional ideologies of Korea, and the fact that formation principles of fractal appear in the formation of Korean costume, formed based on the Korean ideologies, show magnanimous capacity of the traditional Korean culture. When we look at the concept of fractal, the word fractal refers to the structure in which the shape repeats, where small structure is similar to the whole structure in form in endlessly repeating structure. In other words, 'fractal' means a structure that geometrically untangles the concept of 'self-similarity' which possesses the same shape in parts and in whole, and its major characteristics include 'self-similarity', 'circularity' and 'repeatability'. Korean costumes were formed based on the Han-thoughts, with a structure that possesses parts within the whole and the whole within parts, in accordance with the self-similarity theory of 'fractal'. This study compared studied fractal phenomenon which appear in formation characteristics of Korean traditional costume, which were formed based on the Korean traditional ideology, in other words, Korean costume formation and formation principles of fractal geometry were compared studied.

• Smart Structures and Systems
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• v.13 no.6
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• pp.975-991
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• 2014

The objective of this study is to develop a reliable method for locating cracks in a beam using data fusion of fractal dimension features of operating deflection shapes. The Katz's fractal dimension curve of an operating deflection shape is used as a basic feature of damage. Like most available damage features, the Katz's fractal dimension curve has a notable limitation in characterizing damage: it is unresponsive to damage near the nodes of structural deformation responses, e.g., operating deflection shapes. To address this limitation, data fusion of Katz's fractal dimension curves of various operating deflection shapes is used to create a sophisticated fractal damage feature, the 'overall Katz's fractal dimension curve'. This overall Katz's fractal dimension curve has the distinctive capability of overcoming the nodal effect of operating deflection shapes so that it maximizes responsiveness to damage and reliability of damage localization. The method is applied to the detection of damage in numerical and experimental cases of cantilever beams with single/multiple cracks, with high-resolution operating deflection shapes acquired by a scanning laser vibrometer. Results show that the overall Katz's fractal dimension curve can locate single/multiple cracks in beams with significantly improved accuracy and reliability in comparison to the existing method. Data fusion of fractal dimension features of operating deflection shapes provides a viable strategy for identifying damage in beam-type structures, with robustness against node effects.

• Journal of Korean Academy of Oral and Maxillofacial Radiology
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• v.29 no.1
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• pp.203-208
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• 1999

Purpose: This study was to investigate the age and sex differences of the fractal dimension of the normal parotid glands in the digitized CT images. Materials and methods: The six groups. which were composed of 42 men and women from 20 s. 40' sand 60' s and over were picked. Each group contained seven people of the same sex. The normal parotid CT images were digitized. and their fractal dimensions were calculated using Scion Image PC program. Results: The mean of fractal dimensions in males was 1.7292(±0.0588) and 1.6329(±0.0425) in females. The mean of fractal dimensions was 1.7617. in young males 1.7328 in middle males, and 1.6933 in old males. The mean of fractal dimensions was 1.6318. in young females 1.6365 in middle females. and 1.6303 in old females. There was no statistical difference in fractal dimension between left and right parotid gland of the same subject(P>0.05). Fractal dimensions in male were decreased in older group(P<0.05) and larger than female in same age group(P<0.05). But fractal dimensions in female had a tendency to decrease in older group but no statistical difference between ages(P>0.05). Conclusions: The fractal dimension of parotid glands in the digitized CT images will be useful to evaluate the age and sex differences.

• Journal of the Korea Concrete Institute
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• v.13 no.2
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• pp.146-152
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• 2001

The fractal geometry is a non-Euclidean geometry which discribes the naturally irregular or fragmented shaps, so that it can be applied to fracture behavior of materials to investigate the fracture process. Fractal curves have a characteristic that represents a self-similarity as an invariant based on the fractal dimension. This fractal geometry was applied to the crack growth of cementitious composites in order to correlate the fracture behavior to microstructures of cemposite composites. The purpose of this study was to find relationships between fractal dimensions and fracture energy. Fracture test was carried out in order to investigate the fracture behavior of plain and fiber reinforced cement composites. The load-CMOD curve and fracture energy of the beams were observed under the three point loading system. The crack profiles were obtained by the image processing system. Box counting method was used to determine the fractal dimension, D$_{f}$. It was known that the linear correlation exists between fractal dimension and fracture energy of the cement composites. The implications of the fractal nature for the crack growth behavior on the fracture energy, G$_{f}$ is appearent.ent.

• Proceedings of the Korea Water Resources Association Conference
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• 2022.05a
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• pp.166-166
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• 2022

본 연구의 목적은 고전적 순간단위도 모형 중의 하나인 Nash 모형의 매개변수와 하천망의 동적 Fractal 차원 사이의 관계를 체계적으로 분석하여 해당 매개변수의 수문학적 의미를 추론해 보는 것이다. Nash 모형의 경우, GIUH 이론과의 결합을 통하여 Horton 비를 기반으로 한 두 매개변수의 지형학적 추정 방법이 일찍부터 제안되어 왔다 (Rosso, 1984; Bhunya, 2008). 특히 Liu(1992)는 2차원 자유 Euclidean 공간 내에서 percolation cluster 모형의 응집구조와 유역의 배수구조 사이의 비교를 통하여 하천망의 Fractal 차원을 정적 Fractal 차원과 동적 Fractal 차원으로 구분하고 양자의 수문학적 의미에 대하여 강조한 바 있다. 본 연구에서는 문헌 조사 (Morisawa, 1962; Marani et al., 1991; Rosso et al., 1991)를 통하여 수집한 비교적 신뢰성 있는 국외 하천망들에 관한 정보를 기반으로 Nash 모형의 매개변수와 하천망의 동적 Fractal 차원 사이의 관계를 분석해 보았다. 주요한 결과로서 Nash 모형의 형상 매개변수와 하천망의 Fractal 차원 사이에는 밀접한 상관관계가 존재함을 알 수 있었으며 이를 통하여 하천망의 Fractal 차원을 이용하여 해당 매개변수를 직접 추정할 수 있는 관계식을 제시할 수 있을 것으로 판단된다. 또한 분광 차원과 Nash 모형의 첨두 좌표 사이의 관계를 통하여 겉보기에서로 다른 유역들 사이에 존재할 수 있는 수문학적 상사성을 평가할 수 있는 기준의 수립 역시 본 연구과정을 통하여 제시할 수 있으로 판단된다. 후속 연구로서 국내외 다수 유역들에 대한 지형분석을 통하여 본 연구에서 얻은 결과의 보편성을 검정하고 수문학적 자료들에 대한 검증을 통하여 Nash 모형을 기반으로 한 다양한 수문학적 모형들의 개선 방안을 제시해 보고자 한다.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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• 2002.05b
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• pp.103-106
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• 2002

The applicability of models based on fractal morphology to characterize $(Ba\;Sr)TiO_{3}$ thin film surfaces was investigated. The fractal morphology of coated barium strontium titan oxide thin film surfaces was described using fractal dimension from scanning electro microscopy image. The $(Ba\;Sr)TiO_{3}$ coating were deposited on silicon wafers using $(Ba\;Sr)TiO_{3}$ solution and spin coater. BST solution was composited by mol ratio, and then spin-coated from 3 times to 5 times coating on $Pt/SiO_{2}/Si$ substrate. Qualitative thin film analysis was performed with scanning electro microscopy (SEM), and surfaces parameters such as average grain diameter, roughness exponent and fractal dimension were determined.

• Proceedings of the Korean Operations and Management Science Society Conference
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• 2004.05a
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• pp.471-474
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• 2004

In order to quickly respond to the rapidly changing manufacturing environment, it is imperative for the system to have such capabilities as flexibility, adaptability, reusability, etc. One of the promising approaches for new manufacturing paradigm satisfying those capabilities is the fractal manufacturing system (FrMS). FrMS is based on the concept of autonomously cooperating and self-reconfigurable agents referred to as fractals. In this paper, a fractal template is proposed to have both fractal-specific and agent-specific characteristics and proper techniques for implementation are also selected. The proposed template can be easily extended to the platform of FrMS which supports simulation, shop flow control, and other research issues existed in the manufacturing systems. An example of applying the proposed template to the simulation is also presented.

• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 1999.11a
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• pp.240-246
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• 1999

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.

• Proceedings of the KIEE Conference
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• 1997.07c
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• pp.1103-1105
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• 1997

Transient stability analysis is concerned with a power system's response to unwanted disturbance. Recently, direct method which utilize the stable region of stable equilibrium point is used to analyze transient stability This paper focuses on the controlling UEP method using the fractal behaviours. In the controlling UEP method, many algorithms are used to find controlling UEP However, the existence of fractal region gives difficulty in finding the controlling UEP. So, this paper observes the fractal feature arid introduce the fractal index to explain how much the fractal region occupies in the entire space. Using an improved algorithm from the view point of fractal index, we are going to find the controlling UEP.