• Korean Institute of Interior Design Journal
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• v.13 no.3
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• pp.69-75
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• 2004

Since 1990s, several rising western architects have been moving their theoretical background from the modern paradigm to new science and philosophy. Architectural spaces are based on the philosophy and science of their own age and the architectural theories made by them. And specially, it seems that topological spaces are different to theoretical backgrounds from idealized spaces of modern architecture. From these backgrounds, this study was performed to search for the spacial relationship and characteristics shown in the recently folding architecture and the results of this study that starts this purpose are as follows. First, the architecture that introduced by the theory of topology has appeared as the circulation forms like as Mobius band or Klein bottle, and was made the space fused with structure pursuing liquid properties of matter. As follows, second, the concept of topological space made the division of traditional concept of floor, wall, ceiling disappeared and had built up the space by continual transformation. Third, about the relationship between two spaces in topological space, the two spaces were happened by transformation of these and they have always continuity and the same quality.

• KIISE Transactions on Computing Practices
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• v.21 no.7
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• pp.452-457
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• 2015

In this paper, we propose a spatial query processor, SQUERY, which can derive rich query results through spatial reasoning on the initial knowledge base, as well as, process both qualitative and quantitative queries about the topological and directional relationships between spatial objects. In order to derive richer query results, the query processor expands the knowledge base by applying forward spatial reasoning into the initial knowledge base in a preprocessing step. The proposed query processor uses not only qualitative spatial knowledge describing topological/directional relationship between spatial objects, but also utilizes quantitative spatial knowledge including geometric data of individual spatial objects through geometric computation. The results of an experiment with the OSM(Open Street Map) spatial knowledge base demonstrates the high performance of our spatial query processing system.

• The Journal of the Acoustical Society of Korea
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• v.17 no.6
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• pp.54-61
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• 1998

중주파수대역은 내부 음향 모드의 공명 및 모드간 상호 간섭 특성을 완전히 무시할 수는 없으나 모드 밀도가 비교적 높기 때문에, 기존의 저주파수용 모드기법이나 고주파수에 대한 통계적 및 기하학적 해석방법과는 다른 기법이 필요한 구간이다. 본 논문에서는 위상 을 포함한 기하음향모델을 이용하여 중주파수 특성을 고려하는 개념을 이용하여 해석기법을 확립하였으며, 삼각형빔법을 기초로 한 모델링을 하였다. 세 개의 서로 다른 특성을 지닌 대 상 공간에 대해 음향 경계요소법 및 실험에 의한 음향 주파수응답함수와 본 연구 결과를 비 교함으로써 유효성과 오차특성을 검토하였다. 이로부터 위상으로 고려한 중주파수 대역에 잘 적용될 수 있음을 확인하였고, Schroeder의 차단주파수 이하의 저주파수에서는 내부구조 에 의한 회절이, 차단주파수의 네 배 이상인 고주파수에서는 벽면에서의 산란이 간섭현상과 함께 고려되어야 함을 보였다. 이러한 해석기법은 중주파수대역에 있어서 청감특성을 고려 한 내부공간의 음향설계에 매우 유용할 것으로 사료된다.

• Proceedings of the KSRS Conference
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• 2009.03a
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• pp.301-304
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• 2009

3차원 가시화는 3차원 공간정보를 효율적으로 제공하기 위하여 중요하다. 그러나 기존의 3차원 가시화 소프트웨어는 복잡한 다면체 모델들을 삼각면으로 분할하여 저장하여 불필요한 기하정보들을 포함한다. 따라서 본 연구는 불필요한 기하정보가 제거된 건물 모델을 생성하기 위하여 동일한 삼각면들을 병합하여 다각면으로 정의하는 기하학적 단순화를 수행한다. 이를 위하여, 3차원 모델에 포함된 기하학적 오류와 위상학적 오류들이 제거된 삼각면의 속성을 정의한다. 그리고 이웃면 정보를 생성하여 동일면을 병합하고 병합된 면의 경계점들을 정리함으로써 단순화를 수행한다. 제안된 방법의 수행 결과, 삼각면으로 정의된 복잡한 다면체 모델은 다각면으로 정의된 보다 단순한 다면체 모델로 단순화될 수 있었고 동일한 기하학적 정보를 포함하고 있으나 데이터의 크기가 매우 작아 신속하게 가시화를 수행할 수 있었다. 따라서 제안한 방법론은 3차원 건물모델의 가시화 시간을 크게 줄일 것이다.

• Proceedings of the Korean Information Science Society Conference
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• 1999.10a
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• pp.201-203
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• 1999

지리정보시스템의 정보를 관리하는 공간데이터베이스 관리시스템에서는 위상정보에 대한 효율적인 저장과 관리가 필요하다. 이렇게 기하학적인 정보만을 가진 객체의 자료 구조에 위상정보를 추가하거나 또는 위상적인 정보만으로 이러한 지도를 만드는 작업을 위상정보 구축작업이라고 한다. 공간데이터베이스의 위상정보를 생성하는 작업은 많은 연산과 상당한 시간을 요구하므로 일종의 장기 트랜잭션이라 할 수 있다. 이런 위상정보 구축 트랜잭션은 위상적 데이터의 특성을 이용하면 기존에 제안된 방법보다 효과적으로 처리할 수 있다. 본 논문에서는 위상정보 생성시의 장기 트랜잭션을 위하여 정의한 위상구축 트랜잭션이 완전성을 유지하면서 하위 트랜잭션으로 나눌수 있도록 Plane-sweeping을 이용한 위상구축 알고리즘을 제안하였다. 이 방법을 이용하면 위상구축이 수행되는 동안에도 위상이 구축되어 있는 지역에 대한 질의의 결과를 보장할 수 있다.

• Korean Institute of Interior Design Journal
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• v.13 no.6
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• pp.74-81
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• 2004

Much evidence points to the fact that Korean traditional architecture has long reflected traditional Korean philosophy. If what this evidence points to Is true, there is much more insight to be gained about this connection. It is important to begin with the idea that Korean culture stemmed from Confucianism, Buddhism, and Taoism. All three share similar ideas, and this study will set out to prove that topology, an anti-Euclidean school of thought created at the end of the 19th century, shares many of the same core ideas as the three mentioned above. Transitively, if Korean traditional culture is reflected in Korean traditional architecture, and topology shares many of the same core ideas, it seems that topology should be accepted into the mainstream of architectural design. This study will aim to interpret space structure forms and space constructions of the Korean traditional architecture from the topological perspective.

• The Journal of Engineering Geology
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• v.31 no.1
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• pp.1-17
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• 2021

It is important to evaluate the fracture network in a rock volume because fractures control the ground conditions and fluid flow characteristics. Therefore, various attempts have been made to quantify fracture networks to better understand ground and flow conditions. The use of fracture density alone (a quantitative parameter based on geometric analysis) does not fully explain the evolution of fracture networks, or quantify the spatial relationship (e.g. connectivity) of fractures in a rock mass. Therefore, the need for fracture network characterization based on topological analysis has recently emerged. In Korea however, the topological analysis of fracture networks within a rock mass has rarely been studied. As such, the definition of the topological analysis of fracture networks and the graph theory related to the topological analysis are briefly summarized in this study. We also introduce an application method for these analyses to fracture characterization. If the topological method is used for the analysis of fracture networks, it can also be adopted to analyze fluid flow characteristics of groundwater, characterize petroleum reservoirs, and analyze the evolution of a fracture network. In addition, topological analysis can be useful for site selection of major facilities such as nuclear waste disposal sites because it can be used to evaluate the stability of the potential sites.

• Spatial Information Research
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• v.20 no.2
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• pp.117-127
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• 2012

The purpose of this study is to develop the auto-building algorithm of the Geometric Network Model(GNM), a topology model including geometric information because of the need to reflect the features' geometric characteristic into the topology model, which is for development of indoor 3D virtual model enabling queries. As the critical algorithm, the Straight Medial Axis Transformation(SMAT) algorithm is proposed in order to automatically extract the medial axis of features. The SMAT algorithm is generalized from the existing S-MAT algorithm and a range of target features where applicable is extended from simple polygons to weakly simple polygons which mean the polygons containing the inner ring inside. The GNM built automatically is finally printed out as the .csv file for easy access and w ide application in other systems. This auto-building algorithm of the GNM is available for plenty of cases such as finding a shortest path, guiding a route in emergency situation, and semantic analysis.

• Spatial Information Research
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• v.9 no.1
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• pp.1-13
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• 2001

Nowadays, SAR Interferometry is actively being studied as a new technique in topographic mapping using satellite imagery. It extracts height values using phase information derived by two SAR imageries covering same areas. Unlike when using SPOT imagery, it is not affected by atmospheric conditions and time. So to speak, we can say that SAR Interferometry is flexible in imagery acquisitions and can get height data economically over wide area. So, it is expected that SAR Interferometry will be widely using in GIS applications. But, in some area occurring geometric distortion, height data are misjudged or not extracted depending on phase unwrapping algorithms. IN the case of ERS tandem data, the accuracy of height data was worst in mountain area. It is the because of the short incidence angle resulted in layover effect. Of the phase unwrapping algorithms, path-following was better in height accuracy but could not get data in layover area. In this area, we could get height data using Height Sensitivity. In concludion, we could get DEM that maintained the accuracy of path-following method and have overall data across imagery.

• Journal of Digital Contents Society
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• v.16 no.6
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• pp.909-916
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• 2015

This paper presents a method to display the 3D vector fields by analyzing phase space. This method is based on the connections between ordinary differential equations and the topology of vector fields. The phase space analysis should be geometric interpolation of an autonomous system of equation in the form of the phase space. Every solution of it system of equations corresponds not to a curve in a space, but the motion of a point along the curve. This analysis is the basis of this paper. This new method is required to decompose the hexahedral cell into five or six tetrahedral cells for 3D vector fields. The critical points can be easily found by solving a simple linear system for each tetrahedron. The tangent curves can be integrated by finding the intersection points of an integral curve traced out by the general solution of each tetrahedron and plane containing a face of the tetrahedron.