• Communications of the Korean Mathematical Society
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• v.15 no.2
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• pp.197-231
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• 2000

평형문제들에서의 기본적인 정리들이 일반화 볼록공간에서 어떻게 확장되는가를 보인다. KKM 이론의 중요한 정리들 대부분이 위상벡터공간에서의 선형성을 가정하지 않아도 위상적인 성질만으로 성립한다. 이같은 정리들의 예로는 KKM정리, von Neumann의 최소최대정리와 교차정리, Nash의 평형정리, 여러 가지 부동점정리, 극대원정리, Ky Fan의 최소최대부등식, 변분부등식들, 최량근사정리, 일반화 의사평형문제들의 해의 존재정리들이 있다.

• Communications of the Korean Mathematical Society
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• v.15 no.2
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• pp.325-330
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• 2000

3차원 Euclid 공간의 볼록폐곡면의 평균곡률과 Gauss 곡률의 비가 상수함수와 충분히 가까우면 그 곡면은 중심이 같고 반지름이 거의 같은 두 개의 둥근공 사이에 놓이게 됨을 보였다.

• Journal of Biomedical Engineering Research
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• v.21 no.2
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• pp.129-136
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• 2000

중재적 시술을 위한 자기공명영상(MRI)용 주자석은 수직 자계를 가지는 경우가 대부분인데 본 논문에서는 수직 자계를 발생하는 주자석에 장착할 수 있는 볼록형 경사자계코일을 소개하였다. 중재적 시술에 필요한 고속 촬영을 하기 위해서는 강한 경사자계 및 낮은 코일 인덕턱스가 필요한데 본 논문에서는 이를 효율적으로 실현하기 위해 경사자계코일을 볼록 곡면 위에 실현하였다. 기존 방법에서처럼 평면 위에 경사자계코일을 실현하지 않고 볼록 곡면 위에 실현함으로써 경사자계코일의 자계 강도 특성 및 코일 인덕턱스 특성을 향상시킬 수 있을 뿐만 아니라 중재적 시술을 위한 경사자계코일 내 공간을 충분히 확보할 수 있다. Prolate spheroid 좌표계에서 표현되는 경사자계코일 면을 정의하였고, 유한요소법을 이용한 볼록형 경사자계코일 설계 방법을 기술하였다. 또한 경사자계코일 면의 곡률에 따라 경사자계코일의 성능이 어떻게 변화하는지에 대한 결과를 제시하였다.

• Journal of KIISE:Computer Systems and Theory
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• v.27 no.6
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• pp.541-548
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• 2000

An area light source in the three dimensional space shines past a scene polygon, to generate two types of shadow volumes for each scene polygon, i.e., one with partial occlusion and the other with the complete occlusion. These are called, penumbra and umbra, respectively. In this paper, consider the problem for computing the umbra of a convex polygon from convex quadric light sources such as circles, ellipses, spheres, ellipsoids and cylinders. First, we give characteristics of the boundary surfaces of the umbra and then propose an algorithm for generating the umbra using them.

• Journal of the Korea Society of Computer and Information
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• v.12 no.6
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• pp.131-137
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• 2007

I intend to seek the shortest path which an aircraft safely flies to its destination through the shadow volume of three dimensional terrain which propagation does not extend. Herein, I propose a method in which a relatively wide shadow volume is divided with a polygon type of block polygon, a path up to the intermediate destination is sought in the divided block polygons according to the weight, and then, the shortest path up to the final destination is sought by repeating courses for seeking a destination again from the adjacent polygon based on the starting point of the intermediate destination within the divided polygon. The shortest path was searched by using the revised algorithms which apply to a critical angle from graph growth algorithms on the shadow volume which propagation on the actual three dimensional terrain does not extend to. The experiment shows that a method proposed in this paper creates effective flying curves.

• Journal of Cadastre & Land InformatiX
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• v.48 no.1
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• pp.215-228
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• 2018

After the housing shortage problem for the youths has invoked substantial social attention recently, Seoul's 2030 Youth Housing Program has been timely improvised and successfully providing the decent rental housing packages for the deprived youths of the City. Its housing supply rate, nevertheless, did not sufficiently catch up with the actual need of the youth group so that the program goal is seen by many to be difficult to readily achieve. In an effort to counteract such adversities, it is seen, in this study, that the clarification of the criteria that judges adjacency condition for up-zoning when a candidate housing site is adjoining to a denser land-use classes could be one effective method to augment its supply rate. This study, in this context, has performed spatial structure analyses via space syntax method against: 1) the conceptual diagram in the City's official manual that renders the acceptable adjacency conditions, and; 2) numerous real-world 2030 Youth Housing cases enlisted in the City's public notices that permit their construction. The consequences are that the axial map is not applicable whereas the convex map is adequate for the purpose at hand, and, among all the cases, those spaces that are adjacent with its Depth of less than 2 are seen to successfully satisfy the official adjacency condition for the up-zoning.

• Korean Institute of Interior Design Journal
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• v.15 no.5 s.58
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• pp.247-254
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• 2006

The museum has steadily been evolved by time with its function and social idea differently. As the museum makes its evolution, its architecture has also been changed. This study aims to find out the characteristics of museum architecture by applying Space Syntax for space correspondence of museum architecture changed by the time. And the characteristics could be used as project guide by making data for building up museum architecture changed by social concept with efficient and functional system. The method of the study is to divide the museum into three generations, and give case for each generation. And the each chosen case was analyzed by convex space of space syntax. The order of the analysis is to divide the case as the unit space, make out the Convex Map. And finally get the analysis variable by carrying out a mathematical operation. The characteristics found in these operations are as follows. First, the major space has been planed for convenience of spectators. Second, exhibition space located on specific area in entire plot planning makes spectators easy to recognize in terms of the line of flow toward exhibition space and also relieves character of major and exhibition space. Third, it is getting hard to comprehend the entire space as forming diverse space in process that museum accepts many request from spectators.

• Journal of the Architectural Institute of Korea Planning & Design
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• v.34 no.3
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• pp.11-21
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• 2018

This paper explores the structure of space in architecture from a viewpoint that individual unitized spaces are gathered to form the whole. To understand the spatial structure of architecture, firstly we need to understand each unitized spaces, and secondly, one must understand how the following adjacent spaces are connected to form the whole building. this gives salience to a fact that understanding the whole comprehensively. It is the most fundamental bases that must be understood and unitized when understanding the spatial structure of an existing building and designing a new one. It is necessary to hypostatize space as an abstract notion. In regards to this space examines the logical flow of structure within actual space. Hypostasieren process includes the process of shaping space and the shape information. In this process we need to refer to the properties of space and the morphological characteristics of physical elements. The segment of the unitized space is the realization process of the basic space. This study aims to provide a theoretical basis for analysis and design of spatial structure by comparing several representative methods of segmenting unitized space.

• Journal of the Korean Institute of Intelligent Systems
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• v.17 no.7
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• pp.913-918
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• 2007

Human motion analysis is an important research subject in human-robot interaction (HRI). However, before analyzing the human motion, silhouette of human body should be extracted from sequential images obtained by CCD camera. The intelligent robot system requires more robust silhouette extraction method because it has internal vibration and low resolution. In this paper, we discuss the hybrid silhouette extraction method for detecting and tracking the human motion. The proposed method is to combine and optimize the temporal and spatial gradient information. Also, we propose some compensation methods so as not to miss silhouette information due to poor images. Finally, we have shown the effectiveness and feasibility of the proposed method through some experiments.

• Communications of Mathematical Education
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• v.15
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• pp.23-28
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• 2003

실수계와 n-차원 벡터 공간을 대수적 특성, 순서적 특성 그리고 위상적 특성을 중심으로 전개하고, 실변수 실가 함수와 n-차원 벡터 공간을 정의역으로 하는 실가함수를 연속성 (미분가능성), 단조성 그리고 볼록성을 중심으로 내용을 다룬다. 특히 실생활과 관련하여 이론을 전개하여 학습을 지도할 수 있는 교육과정을 개발하고, 직관적인 사고와 수리 논리적인 사고의 적절한 배합을 통해 학습자들이 적극적으로 학습에 임할 수 있는 교수 학습 방법을 개발하는 것을 목적으로 한다.