• Title/Summary/Keyword: space intersection

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A Study on the Role of Free-standing Wall in the Architectural Composition (건축구성에 있어서 가벽의 역할에 관한 연구)

  • 곽기표
    • Korean Institute of Interior Design Journal
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    • no.41
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    • pp.80-87
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    • 2003
  • This paper attempts to examine the historical changes, the characteristics and the role of free-standing wall from the viewpoint of architectural composition. After modern times the wall gets free of structure and the view of formative art changes, which become a basis of the conscious use of free-standing wall. It plays a role of getting territoriality and placeness, by defining the space at the external territory and it is used as apparatus which controls circulation and orientation externally At the same time it is used as an instrument to blur the border to make mutual intersection and plays a role of introducing and controling the environment. The free-standing wall controls the architectural form to emphasize plasticity and is used to define a geometrical frame and maintain the urban context. In view of the results so far achieved, the free-standing wall is used as general vocabulary of modulating the border of space and the architectural form since modern architecture.

INCLUSION AND INTERSECTION THEOREMS WITH APPLICATIONS IN EQUILIBRIUM THEORY IN G-CONVEX SPACES

  • Balaj, Mircea;O'Regan, Donal
    • Journal of the Korean Mathematical Society
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    • v.47 no.5
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    • pp.1017-1029
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    • 2010
  • In this paper we obtain a very general theorem of $\rho$-compatibility for three multivalued mappings, one of them from the class $\mathfrak{B}$. More exactly, we show that given a G-convex space Y, two topological spaces X and Z, a (binary) relation $\rho$ on $2^Z$ and three mappings P : X $\multimap$ Z, Q : Y $\multimap$ Z and $T\;{\in}\;\mathfrak{B}$(Y,X) satisfying a set of conditions we can find ($\widetilde{x},\;\widetilde{y}$) ${\in}$ $X\;{\times}\;Y$ such that $\widetilde{x}\;{\in}\;T(\widetilde{y})$ and $P(\widetilde{x}){\rho}\;Q(\widetilde{y})$. Two particular cases of this general result will be then used to establish existence theorems for the solutions of some general equilibrium problems.

Photogrammetry-based Modal Parameter Extraction from Motion Pictures (사진측량 기반 동영상 동특성 추출)

  • Kim, Byeong-Hwa;Yeo, Keum-Soo;Kim, Soo-Jin
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.3
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    • pp.308-315
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    • 2010
  • This study introduces a new technique to estimate modal parameters of a vibrating string using motion pictures. The approach requires two motion pictures for a vibrating string captured simultaneously by typical potable digital cameras or camcorders. Applying the space intersection theory and the space resection theory in photogrammetry, the steroscopic images for the string are constructed from two flat plane pictures. Then the three dimensional displacement components of the string are extracted by a multiple template matching technique. Finally the modal parameters of the string are estimated from the resulting displacement time histories. The accuracy of the approach has been examined through a small-scale mock-up of a string.

MAXIMAL INVARIANCE OF TOPOLOGICALLY ALMOST CONTINUOUS ITERATIVE DYNAMICS

  • Kahng, Byungik
    • Journal of the Korean Mathematical Society
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    • v.59 no.1
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    • pp.105-127
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    • 2022
  • It is known that the maximal invariant set of a continuous iterative dynamical system in a compact Hausdorff space is equal to the intersection of its forward image sets, which we will call the first minimal image set. In this article, we investigate the corresponding relation for a class of discontinuous self maps that are on the verge of continuity, or topologically almost continuous endomorphisms. We prove that the iterative dynamics of a topologically almost continuous endomorphisms yields a chain of minimal image sets that attains a unique transfinite length, which we call the maximal invariance order, as it stabilizes itself at the maximal invariant set. We prove the converse, too. Given ordinal number ξ, there exists a topologically almost continuous endomorphism f on a compact Hausdorff space X with the maximal invariance order ξ. We also discuss some further results regarding the maximal invariance order as more layers of topological restrictions are added.

DETERMINATION OF THE INVARIANT POINT OF THE KOREAN VLBI NETWORK RADIO TELESCOPES: FIRST RESULTS AT THE ULSAN AND TAMNA OBSERVATORIES

  • Yoo, Sung-Moon;Jung, Taehyun;Lee, Sung-Mo;Yoon, Ha Su;Park, Han-Earl;Chung, Jong-Kyun;Roh, Kyoung-Min;Wi, Seog Oh;Cho, Jungho;Byun, Do-Young
    • Journal of The Korean Astronomical Society
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    • v.51 no.5
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    • pp.143-153
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    • 2018
  • We present the first results of the invariant point (IVP) coordinates of the KVN Ulsan and Tamna radio telescopes. To determine the IVP coordinates in the geocentric frame (ITRF2014), a coordinate transformation method from the local frame, in which it is possible to survey using the optical instrument, to the geocentric frame was adopted. The least-square circles are fitted in three dimensions using the Gauss-Newton method to determine the azimuth and elevation axes in the local frame. The IVP in the local frame is defined as the mean value of the intersection points of the azimuth axis and the orthogonal vector between the azimuth and elevation axes. The geocentric coordinates of the IVP are determined by obtaining the seven transformation parameters between the local frame and the east-north-up (ENU) geodetic frame. The axis-offset between the azimuth and elevation axes is also estimated. To validate the results, the variation of coordinates of the GNSS station installed at KVN Ulsan was compared to the movement of the IVP coordinates over 9 months, showing good agreement in both magnitude and direction. This result will provide an important basis for geodetic and astrometric applications.

Numerical Analysis on the Estimation of Shock Loss for the Ventilation of Network-type Double-deck Road Tunnel (네트워크형 복층 도로터널 환기에서의 충격 손실 평가를 위한 수치해석적 연구)

  • Park, Sang Hoon;Roh, Jang Hoon;Kim, Jin
    • Tunnel and Underground Space
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    • v.27 no.3
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    • pp.132-145
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    • 2017
  • Shock loss was not applied for the tunnel ventilation of road tunnel in the past. However, pressure losses due to the shock loss can be significant in network double-deck road tunnel in which combining and separating road structures exist. For the optimum ventilation design of network double-deck road tunnel, this study conducted 3D CFD numerical analysis for the shock loss at the combining and separating flows. The CFD model was made with the real-scale model that was the standard section of double-deck road tunnel. The shock loss coefficient of various combining and separating angles and road width was obtained and compared to the existing design values. As a result of the comparison, the shock loss coefficient of the $30^{\circ}$ separating flow model was higher and that of the two-lane combining flow model was lower. Since the combining and separating angles and road width can be important for the design of shock loss estimation, it is considered that this study can provide the accurate design factors for the calculation of ventilation system capacity. In addition, this study conducted 3D CFD analysis in order to calculate the shock loss coefficient of both combining and separating flows at flared intersection, and the result was compared with the design values of ASHRAE. The model that was not widened at the intersection showed three times higher at the most, and the other model that was widened at the intersection resulted two times higher shock loss coefficients.

An Analysis of Spactial Practice of Morden People appeared in the early 20th century film (20세기 초 영화에 나타난 근대인의 공간적 실천 분석 연구)

  • Lee, Young-Soo;Roh, Eun-Joo
    • Korean Institute of Interior Design Journal
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    • v.20 no.6
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    • pp.124-134
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    • 2011
  • The space has been interpreted from various perspectives, such as hierarchical, cultural, economic, political factors, etc. So we can see the space as a social existence. Space is now being formed through the dialectical relations of these elements. From this point of view, this study started to research the spatial practice of morden people through the case in the early 20th century film. With the discourse of Henri Lefebvre and David Harvey, and Michel de Certeau's theory, this research tried to find the mechanisms of spatial practice. Also Benjamin is a philosopher who intervenes the relationship between modernity and cultural production and his way of reading cultural phenomena seems to serve as the useful methodology of cultural studies. Modern people were individual unawared of the era, awakened to the ego. They were wandering the room and the street, private and public places. They were city dwellers walking around, collecting goods, and living of everyday life. Spatial practice is a fixed activity and have continuity. spatial practice appeared in the early 20th century film is at the intersection of social practices and the practice of everyday life. Social practices are a fixed practice and continuous practice. The practices of everyday life are nomadic practice and amusable practice. Modern people accommodate and adapt to a given space of the city through fixed practice. They realizes the access and the distance from spaces through continuous practice. They select and approved the spaces through nomadic practice. And they possess exclusively and utilize the spaces through amusable practice. Through These research spatial practices, it could easily found similarities and differences between modern space on the early 20th century and contemporary space of 21st century. True modern is not the past but the present.

The Phase Space Analysis of 3D Vector Fields (3차원 벡터 필드의 위상 공간 분석)

  • Jung, Il-Hong;Kim, Yong Soo
    • 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.

Deep Learning Approach for Automatic Discontinuity Mapping on 3D Model of Tunnel Face (터널 막장 3차원 지형모델 상에서의 불연속면 자동 매핑을 위한 딥러닝 기법 적용 방안)

  • Chuyen Pham;Hyu-Soung Shin
    • Tunnel and Underground Space
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    • v.33 no.6
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    • pp.508-518
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    • 2023
  • This paper presents a new approach for the automatic mapping of discontinuities in a tunnel face based on its 3D digital model reconstructed by LiDAR scan or photogrammetry techniques. The main idea revolves around the identification of discontinuity areas in the 3D digital model of a tunnel face by segmenting its 2D projected images using a deep-learning semantic segmentation model called U-Net. The proposed deep learning model integrates various features including the projected RGB image, depth map image, and local surface properties-based images i.e., normal vector and curvature images to effectively segment areas of discontinuity in the images. Subsequently, the segmentation results are projected back onto the 3D model using depth maps and projection matrices to obtain an accurate representation of the location and extent of discontinuities within the 3D space. The performance of the segmentation model is evaluated by comparing the segmented results with their corresponding ground truths, which demonstrates the high accuracy of segmentation results with the intersection-over-union metric of approximately 0.8. Despite still being limited in training data, this method exhibits promising potential to address the limitations of conventional approaches, which only rely on normal vectors and unsupervised machine learning algorithms for grouping points in the 3D model into distinct sets of discontinuities.

A Development of Intersecting Tensegrity System and Analysis of Structural Features for Forming Space (관입형 텐서그리티 구조시스템의 개발 및 공간구축을 위한 구조특성 분석)

  • Lee, Juna;Miyasato, Naoya;Saitoh, Masao
    • Journal of Korean Association for Spatial Structures
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    • v.14 no.4
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    • pp.55-64
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    • 2014
  • In this study, Intersecting Tensegrity System that is integrated solid compression members with tension members was presented. This system is set up by connecting upper and lower compression members of pyramid shape with exterior tension members. In this system, the solid compression members are intersected each other and connected by a tension member in the center. This system is a variation of Tensegrity system, has a improved feature that the system is able to induce prestresses in all of tension members easily by adjusting the distance of a tension member in the center. The proposed system was studied by modeling, and the structural behavior of the system was investigated by mechanical analysis of the model. Furthermore, the features of the structural behavior variations was investigated when the composition elements(total height, size of surface, intersection length, etc.) are changed variously. It was also showed that the system is able to be used as a temporary space structure system with a membrane roof of inverse conical shape.