• Title/Summary/Keyword: GL-projection

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STRUCTURAL PROJECTIONS ON A JBW-TRIPLE AND GL-PROJECTIONS ON ITS PREDUAL

  • Hugli, Remo-V.
    • Journal of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.107-130
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    • 2004
  • A $JB^{*}-triple$ is a Banach space A on which the group Aut(B) of biholomorphic automorphisms acts transitively on the open unit ball B of A. In this case, a triple product {$\cdots$} from $A\;\times\;A\;\times\;A\;to\;A$ can be defined in a canonical way. If A is also the dual of some Banach space $A_{*}$, then A is said to be a JBW triple. A projection R on A is said to be structural if the identity {Ra, b, Rc} = R{a, Rb, c, }holds. On $JBW^{*}-triples$, structural projections being algebraic objects by definition have also some interesting metric properties, and it is possible to give a full characterization of structural projections in terms of the norm of the predual $A_{*}$ of A. It is shown, that the class of structural projections on A coincides with the class of the adjoints of neutral GL-projections on $A_{*}$. Furthermore, the class of GL-projections on $A_{*}$ is naturally ordered and is completely ortho-additive with respect to L-orthogonality.

Development of a Pre/Post Processor for a General CFD Code (범용 3차원 유동해석용 전/후처리 장치의 개발)

  • Hur S. B.;Hur N.
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.67-70
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    • 2002
  • In the present study a pre/post-processor program has been developed to be used with a general CFD code. This program is capable of performing the basic functions of the pre/post-processing, which include mesh generation and post processing plots. Also through perspective projection, this program can be used to check the quality of generated mesh by moving around inside the mesh. The smoke visualization can be also performed with the present program to visualize the smoke behavior in the case of fire simulation. The examples of the program execution are given in paper.

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Development of Data Analysis and Visualization Program with Stereoscopic Viewing (입체 구현 기능을 지닌 데이터 분석 및 가시화 프로그램의 개발)

  • Na Jeoung-Su;Kim Ki-Young;Kim Byoungsoo
    • 한국전산유체공학회:학술대회논문집
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    • 2002.05a
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    • pp.158-163
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    • 2002
  • In the present study a 3D data visualization and analysis program with stereoscopic viewing is introduced. The GUI of the program is based on Qt-library, while all the graphic rendering is performed with OpenGL library. The program allocates memory dynamically according to the data size so that the problem size is only limited by the computer's hardware memory. The stereoscopic viewing is realized by carefully-calibrated projection and color-masking of red and blue color for the left and right eye, and the only hardware needed for the stereoscopic visualization of 3D data is a cheap and easily-available red/blue glasses. Further work for addition of more functions and options to the present program will be continued.

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Stereoscopic Free-viewpoint Tour-Into-Picture Generation from a Single Image (단안 영상의 입체 자유시점 Tour-Into-Picture)

  • Kim, Je-Dong;Lee, Kwang-Hoon;Kim, Man-Bae
    • Journal of Broadcast Engineering
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    • v.15 no.2
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    • pp.163-172
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    • 2010
  • The free viewpoint video delivers an active contents where users can see the images rendered from the viewpoints chosen by them. Its applications are found in broad areas, especially museum tour, entertainment and so forth. As a new free-viewpoint application, this paper presents a stereoscopic free-viewpoint TIP (Tour Into Picture) where users can navigate the inside of a single image controlling a virtual camera and utilizing depth data. Unlike conventional TIP methods providing 2D image or video, our proposed method can provide users with 3D stereoscopic and free-viewpoint contents. Navigating a picture with stereoscopic viewing can deliver more realistic and immersive perception. The method uses semi-automatic processing to make foreground mask, background image, and depth map. The second step is to navigate the single picture and to obtain rendered images by perspective projection. For the free-viewpoint viewing, a virtual camera whose operations include translation, rotation, look-around, and zooming is operated. In experiments, the proposed method was tested eth 'Danopungjun' that is one of famous paintings made in Chosun Dynasty. The free-viewpoint software is developed based on MFC Visual C++ and OpenGL libraries.