• Title/Summary/Keyword: complex representation

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ON THE REFLEXIVE SOLUTIONS OF THE MATRIX EQUATION AXB + CYD = E

  • Dehghan, Mehdi;Hajarian, Masoud
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.3
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    • pp.511-519
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    • 2009
  • A matrix $P{\in}\mathbb{C}^{n{\times}n}$ is called a generalized reflection matrix if $P^*$ = P and $P^2$ = I. An $n{\times}n$ complex matrix A is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix P if A = PAP (A = -PAP). It is well-known that the reflexive and anti-reflexive matrices with respect to the generalized reflection matrix P have many special properties and widely used in engineering and scientific computations. In this paper, we give new necessary and sufficient conditions for the existence of the reflexive (anti-reflexive) solutions to the linear matrix equation AXB + CY D = E and derive representation of the general reflexive (anti-reflexive) solutions to this matrix equation. By using the obtained results, we investigate the reflexive (anti-reflexive) solutions of some special cases of this matrix equation.

Efficient Dynamic Object-Oriented Program Slicing

  • Park, Soon-Hyung;Park, Man-Gon
    • Journal of Korea Multimedia Society
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    • v.6 no.4
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    • pp.736-745
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    • 2003
  • Traditional slicing techniques make slices through dependence graphs. They also improve the accuracy of slices. However, traditional slicing techniques require many vertices and edges in order to express a data communication link because they are based on static slicing techniques. Therefore the graph becomes very complicated, and size of the slices is larger. We propose the representation of a dynamic object-oriented program dependence graph so as to process the slicing of object-oriented programs that is composed of related programs in order to process certain jobs. We also propose an efficient slicing algorithm using the relations of relative tables in order to compute dynamic slices of object-oriented programs. Consequently, the efficiency of the proposed efficient dynamic object-oriented program dependence graph technique is also compared with the dependence graph techniques discussed previously As a result, this is certifying that an efficient dynamic object-oriented program dependence graph is more efficient in comparison with the traditional object-oriented dependence graphs and dynamic object-oriented program dependence graph.

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A Study on Intuitive Representation of Power System Phenomena using 3-Dimensional Graphical Animation (3차원 애니메이션을 이용한 전력계통현상의 직관적 제시에 관한 연구)

  • Park, I.K.;Lee, W.H.;Lee, J.;Yoon, Y.B.;Kim, T.K.;Song, H.S.
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.88-90
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    • 2000
  • This paper presents a new method for representing complex power system phenomena using 3-D computer graphics animation. The proposed method was tested on both the generator dynamics phenomena and subsynchronous resonance phenomena. It is anticipated that the proposed method would be helpful for the operator training as well as power system education.

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Numerical simulations and related problems in multiphase flow and multicomponent transport (다중상 흐름과 다종성분의 거동에 관한 수치적 모의와 문제점)

  • 이강근;이진용;천정용;유동렬;하규철;이철효
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 1998.11a
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    • pp.27-31
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    • 1998
  • Most models for the simulation of multi-phase flow and multi-species transport employ the capillary approach which uses the Darcy's law for the representation of mass flux of each phase. The capillary approach based on the Darcy's law require many empirical coefficients with complex functional dependencies rather than rigrous mathematical and physical formulation. The shortcoming of the capillary approach cause the numerical errors in the simulations by the multi-phase flow and transport models. This study discuss some of the problems related with the use of models.

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AR based ornament design system for 3D printing

  • Aoki, Hiroshi;Mitanin, Jun;Kanamori, Yoshihiro;Fukui, Yukio
    • Journal of Computational Design and Engineering
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    • v.2 no.1
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    • pp.47-54
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    • 2015
  • In recent years, 3D printers have become popular as a means of outputting geometries designed on CAD or 3D graphics systems. However, the complex user interfaces of standard 3D software can make it difficult for ordinary consumers to design their own objects. Furthermore, models designed on 3D graphics software often have geometrical problems that make them impossible to output on a 3D printer. We propose a novel AR (augmented reality) 3D modeling system with an air-spray like interface. We also propose a new data structure (octet voxel) for representing designed models in such a way that the model is guaranteed to be a complete solid. The target shape is based on a regular polyhedron, and the octet voxel representation is suitable for designing geometrical objects having the same symmetries as the base regular polyhedron. Finally, we conducted a user test and confirmed that users can intuitively design their own ornaments in a short time with a simple user interface.

Efficient Haptic Interaction for Highly Complex Object Generated by Point-based Surfaces (점 기반 곡면으로 이루어진 복잡한 가상 물체와의 효율적인 햅틱 상호작용)

  • Lee, Beom-Chan;Kim, Duck-Bong;Park, Hye-Shin;Kim, Jong-Phil;Lee, Kwan-Heng;Ryu, Je-Ha
    • 한국HCI학회:학술대회논문집
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    • 2007.02a
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    • pp.70-75
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    • 2007
  • 본 논문은 연결정보(connectivity) 및 미리 계산된 계층적 데이터 구조(hierarchical data structure)를 이용하지 않는 그래픽 및 햅틱 렌더링 알고리즘을 제안한다. 제안된 알고리즘은 점 기반 그래픽 표현(point-based graphic representation) 기법을 이용하여 3차원 자유 곡면을 생성한다. 생성된 점 기반 곡면 물체와의 햅틱 상호작용을 위해 그래픽 하드웨어(GPU)에 접근하여 점 기반 곡면에서 생성된 깊이 이미지(depth image)를 이용하여 햅틱 상호작용에 필수 요소인 충돌검출(collision detection) 및 반력 연산(contact force computation)을 수행한다.

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Analysis for BIM Object Information Compatibility Problem Classification Among BIM Softwares (BIM 소프트웨어 간의 객체 정보 호완성 문제 유형 분석)

  • Lim, Chul-Woo;Yu, Jung-Ho;Kim, Chang-Duk
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2010.05a
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    • pp.257-260
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    • 2010
  • The Architecture, engineering & construction (AEC) industry domains have grown more complex and larger. BIM is a digital representation of a building to facilitate the exchange and development of construction information integration and interoperability. Industry Foundation Classes (IFCs), under development by International Alliance for Interoperability (IAI), represent the part of buildings or elements of a process. IFC has been adopted as a central information repository in order to deliver integrated information. BIM softwares could open the IFC file, recognize standard objects. However, sometimes, information distortion or information loss occurs during information exchange. As project participants exchange BIM information by using BIM softwares they will need a reliable and efficient exchange of information. This paper suggests the BIM object information compatibility problems among BIM softwares and classify the BIM object information compatibility problems.

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Fusion of Hierarchical Behavior-based Actions in Mobile Robot Using Fuzzy Logic

  • Ye, Gan Zhen;Kang, Dae-Ki
    • Journal of information and communication convergence engineering
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    • v.10 no.2
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    • pp.149-155
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    • 2012
  • This paper presents mobile robot control architecture of hierarchical behaviors, inspired by biological life. The system is reactive, highly parallel, and does not rely on representation of the environment. The behaviors of the system are designed hierarchically from the bottom-up with priority given to primitive behaviors to ensure the survivability of the robot and provide robustness to failures in higher-level behaviors. Fuzzy logic is used to perform command fusion on each behavior's output. Simulations of the proposed methodology are shown and discussed. The simulation results indicate that complex tasks can be performed by a combination of a few simple behaviors and a set of fuzzy inference rules.

Formulation of the equation of motion for flexible robotics arms by using the finite element and modal reduction method (유한요소및 모달감소법을 이용한 유연로보트팔 운동방정식의 정식화)

  • 김창부;유영선
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.533-538
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    • 1991
  • In the design and operation of robot arms with flexible links, the equations of motion are required to exactly model the interaction between rigid motion and elastic motion and to be formulated efficiently. Thus, the flexible link is represented on the basis of the D-H rigid link representation to measure the elastic deformation. The equations of motion of robot arms, which are configured by the generalized coordinates of elastic and rigid degrees of freedom, are formulated by using F.E.M. to model complex shaped links systematically and by eliminating elastic mode of higher order that does not largely affect motion to reduce the number of elastic degree of freedom. Finally, presented is the result of simulation to flexible robotic arm whose joints are controlled by direct or PD control,

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Methods on Determination of Step Sizes and Detection of Tangential Points for SSI (곡면 간의 교선에서 Step Size 결정 및 접점탐지 방법)

  • 주상윤;이상헌
    • Korean Journal of Computational Design and Engineering
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    • v.3 no.2
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    • pp.121-126
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    • 1998
  • It is one of important issues to find intersection curve? in representation of complex surfaces on a computer. Three typical methods, i.e. the tracing method, the subdivision method, and hybrid method, are often applied to find intersection curves between sculptured surfaces. In this paper two topics are dealt with for efficiency and robustness of the hybrid method. One tropic is about how to determine step sizes variably during tracing, the ethel is about how to find tangential points between surfaces. Tracing by variable step size finds intersections rapidly and requires less memory size. Some illustrations show tangential points between surfaces.

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