• 대한수학회논문집
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• 제16권1호
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• pp.95-102
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• 2001

We consider a Cantor set with overlaps Λ in R$^1$. We calculate its correlation dimension with respect to the push-down measure on Λ comparing with its similarity dimension.

• 패션비즈니스
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• 제22권1호
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• pp.135-147
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• 2018

Since the 20th century, there has been a growing interest in the new concept of fractals, a combination of mathematics and art, and the attempt to study the creative spatial aspects of the concept is being made. The purpose of this research is to examine artistic characteristics of fractal dimension and then analyze the types of fractal dimensions expressed in the fashion. Previous literature on fractals and dimension, and visual data on art and fashion collected over the Internet were used for analysis. Fractal dimension refers to the spatial concept of structural dimension of geometrical self-similarity. An analysis of the types of fractals seen in fashion revealed spatial expansion, the repetition in continual figures, superposition accordant to different sizes, and shades of different shapes. The aesthetic characteristics of fractal dimension appearing in fashions were examined based on analyses of fractal dimension types; the inherent characteristics of self-similarity, superimposition, and atypicality were found. Results obtained from this study are expected to be used as basic materials for the application of the design of fractal dimension into various perspectives of fashion.

• 한국습지학회지
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• 제5권1호
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• pp.15-27
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• 2003

The fractal study in river basin has been performed for the sinuosity of an individual stream and bifurcation of the stream network. The previous studies has suggested many methods or equations for the fractal dimension estimation in a river network. This study used those many equations for the estimation of fractal dimensions on the streams such as Bokha, Gonjiam, and Pocheon streams. The estimated dimensions are in the range of 1 to 1.359 for the individual stream and 1.634 to 2 for the stream network. The most of equations were suggested based on the assumption of self-similarity of a river basin for the individual stream and stream network. However, the real river basin could be characterized by self-affinity rather than self-similarity. Even though we estimate the dimensions by using many equations, we could not recommend which one is better equation for the estimation of fractal dimension. This might be from the self-similarity assumption of equations. Therefore, the assumption and research work of self-affinity will be needed for the appropriate estimation of fractal dimension in river basin.

• 한국전자파학회논문지
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• 제29권9호
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• pp.731-734
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• 2018

대지 유도무기의 명중률 개선을 위해 지상 클러터 사이에서 표적을 정확하게 탐지하고 인식하는 연구가 많이 수행되고 있다. 지상 표적보다 클러터의 신호가 다양하고 복잡한 특성을 보이는 점으로 인해 능동 표적인식 기술에 대한 연구가 필요하다. 본 논문에서는 자기유사성(self-similarity)의 특징을 가지는 프랙탈 차원(fractal dimension) 계산을 통해 표적의 고유한 특징을 추출하고, 이를 기반으로 표적을 인식하고 종류를 구분하는 알고리즘을 제안한다. 알고리즘을 적용한 시뮬레이션 수행 결과, 전차와 트럭으로 인식하는 확률이 각각 100 %, 98.89 %로 나오며, 98 % 이상 확률로 표적의 종류를 구분한다.

• 한국안전학회지
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• 제17권4호
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• pp.38-44
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• 2002

The application of fractal concept provides an useful method in the study for the quantitative analysis of irregular variations like the fracture surfaces and crack profiles. Fractal curves have characteristics that represents a self-similarity based on the fractal dimension. The fractal dimensions were obtained by the box counting method. In this report, we obtained the nearly stable fractal dimensions of fracture crack profiles for STS316 with CT specimen as the crack advances and the relationships between crack length and fractal dimension. Moreover fractal fracture parameter that corresponds to J-R curve is shown by the relationships between fractal dimension and crack extension. From the results, we concluded that crack extension of high toughness material also shows the fractal characteristics, which can be used in order to evaluate the crack life precisely.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제14권1호
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• pp.1-5
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• 2007

We study the topological magnitude of a special subset from the distribution subsets in a self-similar Cantor set. The special subset whose every element has no accumulation point of a frequency sequence as some number related to the similarity dimension of the self-similar Cantor set is of the first category in the self-similar Cantor set.

• 한국감성과학회:학술대회논문집
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• 한국감성과학회 1999년도 춘계학술발표논문집 논문집
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• pp.39-44
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• 1999

The purpose of this study was to extract emotional dimensions from Korean adjectives relating to apartment noise. Noise-related 296 Korean adjectives were extracted from a dictionary and three evaluators selected 96 adjectives from those by removing very similar ones in meaning. Two types of 96 7-point scales were conducted to college students for evaluation, whether each adjective describes apartment noise appropriately. From this evaluation, 28 adjectives having above 4.5 points were selected. Again, 8 different types of 7-point scales on 378 adjective pairs(28 x 27/2) were administrated to separate college students to evaluate the degree of similarity between 28 adjectives. Based upon this evaluation, 14 adjectives were finally selected and scores on similarity sere analyzed through two different statistical analyses (Multi-dimensional scale and Cluster analysis). The results showed that three dimensions (displeasure, sensitivity and perceived loudness) exist in peoples' emotional response state to apartment noise. The previous studies have treated annoyance and sensitivity as separate measures to noise. However, this study showed that these two factors were on the same emotional dimension labeled as 'sensitivity' In addition, new dimension, labeled as 'displeasure', was found.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2002년도 합동 추계학술대회 논문집 정보 및 제어부문
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• pp.206-209
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• 2002

This paper proposes a fractal dimension method for measurement of degree of similarity between prototype pattern and input pattern at ART1 (Adaptive Resonance Theory 1) neural network. In order to confirm the validity of proposed method, comparison of the performance has made between the conventional method and the proposed method through simulation. The results show that the proposed method has considerably improved the performance.

• 인지과학
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• 제22권3호
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• pp.299-326
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• 2011

소설, 블로그, 채팅 메시지, 상품평 등의 텍스트는 전반적인 정서의 흐름을 가지고 있다. 텍스트 간의 정서 흐름의 유사도를 비교하면 유사한 정서 흐름을 갖는 텍스트를 분류할 수 있고, 상품 추천이나 의견 수집 등에 활용할 수 있다. 본 논문에서는 텍스트에서 정서 단어를 순차적으로 추출하고 쾌-불쾌, 활성화의 2차원으로 분석하여 텍스트의 정서 흐름을 파악하였다. 또한 텍스트의 순차적인 흐름을 시간 차원으로 설정하여 텍스트의 전반적인 정서 흐름인 '지배 정서(dominant emotion)'를 파악하기 위하여 쾌-불쾌, 활성화, 시간의 3차원 공간에서 정서 흐름을 탐색하였다. 또한 이 3차원 공간 안에서 유클리드 거리를 사용하여 지배 정서 흐름의 유사도를 계산함으로써 유사한 정서 흐름을 가지는 텍스트를 분류하는 방법을 제안하였다. 제안한 방법을 통해 한국 근대 단편 소설들을 분석하여 지배 정서를 분석하였고 유사한 지배 정서를 가지는 소설들을 분류하였다.

• 한국음향학회지
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• 제3권1호
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• pp.16-24
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• 1984

The objective data and subjective data correlated in order to rate sound quality of loudspeaker system and these data were analyzed by the Factor Analysis and Multi-Dimensioinal Scaling. The dimensions yielded Factor Analysis were interpreted as "Contrast", "Metallic", "Rich", "Present" and their relation to physical variables were explored by studying the positions of loudspeaker systems in the respective dimension. When the subjective similarity degree of loudspeaker systems was compared with the objective similarity degree of loudspeaker systems by Multi-Dimensional Scaling, the similarity degree of sound pressure response in the listening room closely coincided with the subjective similarity degree regardless of sound source. This result implies the necessity of measurements taken not only in an anechoic room but also in a listening room in order to rate sound quality of loudspeaker systems.