• Proceedings of the Korean Operations and Management Science Society Conference
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• 2005.05a
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• pp.353-357
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• 2005

본 연구에서는 위치할 대상물의 특성, 공간의 유형, 연결거리의 유형 등을 고려하여 위치문제의 크게 분야를 제안하였다. 공간의 유형으로는 연속공간, 이산공간, 시공간, 이산시공간, 영속시공간으로 나누었다. 연결거리의 유형으로는 격자연결거리, 직선연결거리, 곡선연결거리, 도로연결거리, 기타연결거리로 나누었다. 연속공간에 대해서는 그 형태에 따라 위치문제의 분야들의 유형을 제안해 보았다.

• The KIPS Transactions:PartA
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• v.11A no.2
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• pp.189-194
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• 2004

This paper describes method to distribute much high-dimensional facial expression motion data to 2 dimensional space, and method to create facial expression animation by select expressions that want by realtime as animator navigates this space. In this paper composed expression space using about 2400 facial expression frames. The creation of facial space is ended by decision of shortest distance between any two expressions. The expression space as manifold space expresses approximately distance between two points as following. After define expression state vector that express state of each expression using distance matrix which represent distance between any markers, if two expression adjoin, regard this as approximate about shortest distance between two expressions. So, if adjacency distance is decided between adjacency expressions, connect these adjacency distances and yield shortest distance between any two expression states, use Floyd algorithm for this. To materialize expression space that is high-dimensional space, project on 2 dimensions using Sammon's Mapping. Facial animation create by realtime with animators navigating 2 dimensional space using user interface.

• Journal of the Korea Society of Computer and Information
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• v.16 no.3
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• pp.109-119
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• 2011

The virtual reality (VR) technology has been used as the application of architectural presentation or simulation tool in the field of industry. The high immersion and intuitive visual information are the great merits of design evaluation or environmental simulation when we are using the virtual environments. But the distortion of distance perception in VR is still a big problem when the accuracy of distance presentation is strictly required. For example, distance estimation is especially important when the virtual environments are applied to the presentational tool for evaluation the space design or planning in the field of architecture. If there are some perception error between the built space in real and represented space in virtual, the accurate design evaluation or modification of design is hard to be carried out during the design development stage. In this paper, we have carried out some experiments about distance estimation in the immersive virtual environments to verify the factors and their influence. We made a hypothesis that the lack of the information for the user in VR causes the different distance estimation from the real world because users are usually comfortable with moving fast and long distance in VR environments compared with moving slow and short distance in real space. So, we carried out basic experiment to prove our hypothesis that the lack of information makes subjects estimate the distance of walking in VR shorter compared with the same distance in real. Also, among the factors that probably affect the distance estimation in VR, we have verified the influence of the image resolution. The influence of resolution degradation of image on the distance estimation was verified with the condition of static and dynamic images. The results showed that the resolution has deep relation with the distance estimation. For example, the subject underestimated the distance at the lower resolution condition. We also found the methods of the making the lower resolution image could affect on the visual perception of subjects.

• Journal of Internet Computing and Services
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• v.6 no.1
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• pp.85-93
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• 2005

This paper describes how to distribute high multi-dimensional facial expression data of vast quantity over a suitable space and produce facial expression animations by selecting expressions while animator navigates this space in real-time. We have constructed facial spaces by using about 2400 facial expression frames on this paper. These facial spaces are created by calculating of the shortest distance between two random expressions. The distance between two points In the space of expression, which is manifold space, is described approximately as following; When the linear distance of them is shorter than a decided value, if the two expressions are adjacent after defining the expression state vector of facial status using distance matrix expressing distance between two markers, this will be considered as the shortest distance (manifold distance) of the two expressions. Once the distance of those adjacent expressions was decided, We have taken a Floyd algorithm connecting these adjacent distances to yield the shortest distance of the two expressions. We have used CCA(Curvilinear Component Analysis) technique to visualize multi-dimensional spaces, the form of expressing space, into two dimensions. While the animators navigate this two dimensional spaces, they produce a facial animation by using user interface in real-time.

• Proceedings of the Korea Information Processing Society Conference
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• 2017.04a
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• pp.1058-1059
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• 2017

현실의 물리적인 공간에서의 상호작용으로 얻은 경험을 가상현실에서 완전 몰입형 HMD를 착용한 사용자에게 동일하게 제공하기 위해서는 가상공간 내의 사물의 위치, 높이와 같은 거리감을 효율적으로 제공하는 것은 매우 중요하다. 본 연구에서는 사용자가 느끼는 실재와 가상 간 거리감 보정을 위한 제어 요소 도출을 위해 인체 데이터인 IPD, 키, 눈높이를 측정하여 실험에 반영한다. 실험 시 보다 높은 가상공간 상 거리감 인지를 위해 현실에서의 50cm, 100cm 거리감 인지 훈련을 수행한다. 실험자는 가상공간 상에서 85cm 거리에 위치한 판자를 시각적으로 가늠 후 인지한 만큼 이동하게 되고 그 거리를 측정한다. 측정된 데이터들을 바탕으로 한 분산 분석을 통해 각 데이터 간의 관계를 파악한다.

• The Mathematical Education
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• v.15 no.1
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• pp.5-7
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• 1976

Euclid 기하학이 성립하는 공간은 우리들과 가장 밀접한 공간이다. Descartes의 해석기하학은 Euclid의 3차원공간에서 성립한다. 이 경우 점이라 해도 그것은 3개의 실수의 순서쌍(x, y, z)에 의해 표현되는 것으로 생각해도 좋다. 일반의 n차원 Euclid 공간 R$^n$에 대해서도 같은 생각으로 정의할 수 있다. 이 경우 n=1은 수치선, n=2는 평면, n=3은 소위 3차원의 공간으로서 직관적으로 상상할 수 있으나 n(equation omitted)4인 경우는 상상하기 어렵다. 여기서는 거리의 성질과 추상공간을 논하고 Euclid 공간의 거리에서 출발하여 그 성질중 삼각부등식을 계산을 통하여 증명하므로서 공간의 확장화가 이루워짐을 보였다.

• Korean Journal of Social Welfare Studies
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• no.37
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• pp.35-62
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• 2008

This study starts form the inequity of the spatial accessibility in social services. This study has purpose to descript and analyze the spatial accessibility of social service agencies. While analysing the spatial accessibility, this paper uses comparative method of distance and space-time measures. The results of research are as follows; It needs (1) to enhance the spatial accessibility of the aged and the disabled. (2) to facilitate the spatial accessibility of marginal area or community like rural community. (3) to recognize utilities of distance and space-time measures in the spatial accessibility.

• The Mathematical Education
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• v.8 no.2
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• pp.19-20
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• 1970

이 논문에서는 거리공간 R가 가산적인 차원이 될 필요한 조건을 얻었으며 다음에는 거리공간 R가 가산개의 개집합에 의하여 덮어지고 각 개집합이 강한 귀납적 차원이 n 이하면 R의 강한 귀납적 차원도 n 이하이다.

• Proceedings of the Korean Information Science Society Conference
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• 1999.10a
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• pp.317-319
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• 1999

공간 데이터베이스에서 공간 데이터간의 근접성을 알아보아야 할 필요가 많이 발생한다. 이를 위해, 본 연구에서는 방향 관계와 거리 관계가 혼합된 형태의 질의에서 공간적으로 가까운 객체를 순서적으로 추출해내는 방법을 제안한다. 점진적 거리 조인 알고리즘을 근간으로 섹터 기반 모델을 적용하여 객체들을 순서적으로 추출할 수 있도록 한다. 섹터의 분류와 섹터들간 정렬 순서에 따라 추출된 값을 필요에 따라 제한조건의 조절이 가능하다는 장점이 있다. 또한, 점진적 거리조인 알고리즘에 있어서의 데이터 크기에 따른 성능 저하 문제도 어느 정도 해결할 수 있음을 기술하고 있다.

• Journal of the Economic Geographical Society of Korea
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• v.9 no.2
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• pp.149-166
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• 2006

The purpose of this study is to produce time-distance cartograms based on the various Korean transportation networks, and to analyze the spatial structure of time-distance accessibilities. For the purpose this study attempts to develop continuous area cartogram by utilizing Wolf's algorithm for creating contiguous cartogram in ArcGIS 9. The absolute physical space was transformed to the functional space indexed by time-distances along various transportation networks in Korea. We examined the differences in the time-distance accessibilities among transportation networks. This study makes a comparison between the spatial structure of time-distance accessibility of KTX network with them of existing railroad network, as well as with them of road network. In order to clarify the spatial structures of time-distance accessibilities, we restructured them on the time-distance circular diagrams and performing Multi-Dimensional Scaling analysis. Overall structure of time-distance accessibilities shows similar patterns: The time distances are shrinked a lot along the Seoul-Busan axis, while coastal parts, in particular the eastern part of the county, are shrinked relatively little via all transportation networks. The Road network affects significantly on the accessibilities of cities in Gangwon-do and Gyeonggi-do, while railway network affects on the accessibilities of cities in Jeolla-do and Gyeongsang-do in general. When we compared the time-distance accessibilities based on the 5 largest cities, Seoul appears as the most accessible city from/to all other cities in Korea. We can also find significant changes in the time-distance accessibility between KTX network and existing railroad network. Cities along the KTX network, in particular cities which has KTX stops, improved significantly in time-distance accessibilities.