• 제목/요약/키워드: Space-Time Geometry

검색결과 126건 처리시간 0.022초

Recovery of 3-D Motion from Time-Varying Image Flows

  • Wohn, Kwang-Yun;Jung, Soon-Ki
    • Journal of Electrical Engineering and information Science
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    • 제1권2호
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    • pp.77-86
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    • 1996
  • In this paper we deal with the problem of recovering 3-D motion and structure from a time-varying 2-D velocity vector field. A great deal has been done on this topic, most of which has concentrated on finding necessary and sufficient conditions for there to be a unique 3-D solution corresponding to a given 2-D motion. While previous work provides useful theoretical insight, in most situations the known algorithms have turned out to be too sensitive to be of much practical use. It appears that any robust algorithm must improve the 3-D solutions over time. As a step toward such algorithm, we present a method for recovering 3-D motion and structure from a given time-varying 2-D velocity vector field. The surface of the object in the scene is assumed to be locally planar. It is also assumed that 3-D velocity vectors are piecewise constant over three consecutive frames (or two snapshots of flow field). Our formulation relates 3-D motion and object geometry with the optical flow vector as well as its spatial and temporal derivatives. The linearization parameters, or equivalently, the first-order flow approximation (in space and time) is sufficient to recover rigid body motion and local surface structure from the local instantaneous flow field. We also demonstrate, through a sensitivity analysis carried out for synthetic and natural motions in space, that 3-D motion can be recovered reliably.

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UNIQUE DECODING OF PLANE AG CODES REVISITED

  • Lee, Kwankyu
    • Journal of applied mathematics & informatics
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    • 제32권1_2호
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    • pp.83-98
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    • 2014
  • We reformulate an interpolation-based unique decoding algorithm of AG codes, using the theory of Gr$\ddot{o}$bner bases of modules on the coordinate ring of the base curve. The conceptual description of the reformulated algorithm lets us better understand the majority voting procedure, which is central in the interpolation-based unique decoding. Moreover the smaller Gr$\ddot{o}$bner bases imply smaller space and time complexity of the algorithm.

An Implicit Pressure Correction Method for Incompressible Navier-Stokes Equations on Unstructured Cartesian Grids

  • Pan Dartzi
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2003년도 The Fifth Asian Computational Fluid Dynamics Conference
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    • pp.15-16
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    • 2003
  • An implicit pressure correction method on unstructured Cartesian grid is developed for the incompressible Navier-Stokes equations. An immersed boundary method is also incorporated to treat the body geometry. Tests show that with an appropriate amount of dissipation, the method is second order accurate both in time and space. The driven cavity flows with and without immersed bodies are computed to demonstrate the capability of the present scheme.

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Motion-Blurred Shadows Utilizing a Depth-Time Ranges Shadow Map

  • Hong, MinhPhuoc;Oh, Kyoungsu
    • Journal of Information Processing Systems
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    • 제14권4호
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    • pp.877-891
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    • 2018
  • In this paper, we propose a novel algorithm for rendering motion-blurred shadows utilizing a depth-time ranges shadow map. First, we render a scene from a light source to generate a shadow map. For each pixel in the shadow map, we store a list of depth-time ranges. Each range has two points defining a period where a particular geometry was visible to the light source and two distances from the light. Next, we render the scene from the camera to perform shadow tests. With the depths and times of each range, we can easily sample the shadow map at a particular receiver and time. Our algorithm runs entirely on GPUs and solves various problems encountered by previous approaches.

비대칭 전극계에서의 1차원적 RF 플라즈마 모델링에 관한 연구 (Study on RF Plasma Modeling Between Unequal-Sized Electrodes Using One-dimensional Fluid Method)

  • 소순열;임장섭
    • 조명전기설비학회논문지
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    • 제18권5호
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    • pp.35-41
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    • 2004
  • 본 연구에서 사용된 방전 기체는 오염물의 제거 및 박막 표면 정제 등의 연구 분야에 응용되고 있는 질소 가스를 사용하였으며, 1차원 동심구 모델의 개발로 인하여, 접지 면적을 넓게 함에 따라 경방향으로의 플라즈마 분포가 중심축의 분포와 동일하다는 1차원적 가정이 적절하지 못하다는 Barnes 모델을 보완할 수 있었다. 일정한 인가 전압하에서는 입체각($\omega$)의 증가에 따라 질소 플라즈마를 구성하는 각 입자의 수밀도 분포, 전계 및 포텐셜이 감소함을 볼 수 있었다. 그러나 면적비가 증가하면서 구동 전극에서의 각 입자들의 움직임은 상대적으로 높은 전계로부터 더욱 활발하게 형성됨에 따라 직렬 연결된 블로킹 콘덴서에서 발생하는 자기 바이어스 전압은 증가하는 것을 알 수 있었다.

A three-dimensional two-hemisphere model for unmanned aerial vehicle multiple-input multiple-output channels

  • Zixu Su;Wei Chen;Changzhen Li;Junyi Yu;Guojiao Gong;Zixin Wang
    • ETRI Journal
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    • 제45권5호
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    • pp.768-780
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    • 2023
  • The application of unmanned aerial vehicles (UAVs) has recently attracted considerable interest in various areas. A three-dimensional multiple-input multiple-output concentric two-hemisphere model is proposed to characterize the scattering environment around a vehicle in an urban UAV-to-vehicle communication scenario. Multipath components of the model consisted of lineof-sight and single-bounced components. This study focused on the key parameters that determine the scatterer distribution. A time-variant process was used to analyze the nonstationarity of the proposed model. Vital statistical properties, such as the space-time-frequency correlation function, Doppler power spectral density, level-crossing rate, average fade duration, and channel capacity, were derived and analyzed. The results indicated that with an increase in the maximum scatter radius, the time correlation and level-crossing rate decreased, the frequency correlation function had a faster downward trend, and average fade duration increased. In addition, with the increase of concentration parameter, the time correlation, space correlation, and level-crossing rate increased, average fade duration decreased, and Doppler power spectral density became flatter. The proposed model was compared with current geometry-based stochastic models (GBSMs) and showed good consistency. In addition, we verified the nonstationarity in the temporal and spatial domains of the proposed model. These conclusions can be used as references in the design of more reasonable communication systems.

자유후류 기법을 이용한 다중로터 공력해석 프로그램의 개발 및 검증 (Development and Validations of the Aerodynamic Analysis Program of Multi-Rotors by Using a Free-Wake Method)

  • 박상규;이재원;이상일;오세종;이관중
    • 한국항공우주학회지
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    • 제35권10호
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    • pp.859-867
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    • 2007
  • 본 논문의 목적은 다중로터의 공력특성 해석이 가능한 수치해석 기법을 개발하고 검증하는 것이다. 이를 위해 기 개발된 시간 전진 자유후류 모델이 고려된 비정상 용출 및 중첩 패널 코드에 table look-up 방식을 추가하여 로터 동력의 예측이 가능하도록 하였다. 또한, look-up table을 다양한 레이놀즈수 영역에서 적용하기 위해서 레이놀즈수 보정법을 사용하였다. 계산 결과는 동축 반전로터와 탠덤로터의 실험 결과를 이용하여 검증하였다. 동축 반전로터 검증에서 본 연구에서와 같이 블레이드의 두께효과가 고려되어 해석될 경우 실험치와 더 가까운 결과를 얻음을 확인하였다. 탠덤형 로터 검증 시 특정한 간격에서 와류 상호작용에 의한 와류 불안정성이 존재하였다. 이 경우 후류의 불안정성은 단일로터의 후류를 각 로터의 초기 후류형상으로 이용하는 방법을 통해 제거할 수 있었다. 검증된 코드를 이용하여 로터 간격에 따른 공력성능의 차이를 운동량 이론과 비교하였다.

근사모델을 사용한 손상허용해석 (Damage Tolerance Analysis Using Surrogate Model)

  • 장병욱;임재혁;박정선
    • 한국항공우주학회지
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    • 제39권4호
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    • pp.306-313
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    • 2011
  • 항공기 부품에 대한 손상허용해석은 구조적 안전성 및 신뢰성 보장을 위해 면밀히 평가되어야한다. 손상허용기법은 항공기 주구조의 피로 설계기법으로 초기균열의 존재를 고려하여 피로수명을 산정한다. 따라서 손상허용해석에서는 피로 균열성장 수명의 계산이 요구되며, 이를 바탕으로 부품의 점검시간 및 교체주기를 결정한다. 본 논문에서는 형상이 복잡한 터빈 휠에 대하여 손상허용해석을 수행하였다. 형상이 복잡한 구조의 균열성장수명평가 시에는 주요 변수인 응력확대계수의 식을 알기 어려워, 이를 유한요소해석으로 계산하므로 많은 시간이 요구된다. 이러한 문제를 해결하고자 특정 균열길이에 대한 응력확대계수를 유한요소해석으로 계산하고, 생성된 데이터의 회귀분석을 통해 응력확대계수의 근사모델을 생성하였다. 균열성장 수명은 근사모델의 적분으로 계산하였으며, 근사모델을 사용하여 균열성장 수명평가와 손상허용해석의 효율을 높일 수 있었다.

Spacecraft Spin Rate Change due to Propellant Redistribution Between Tanks

  • Choi, Kyu-Hong
    • Journal of Astronomy and Space Sciences
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    • 제1권1호
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    • pp.23-34
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    • 1984
  • A bubble trapped in the liquid manifold of INTELSAT IV F-7 spacecraft caused a mass imbalance between the System 1 propellant tanks and a wobble half angle of 0.38 degree to 0.48 degree. A maneuver on May 14, 1980 passed the bubble through the axial jet and allowed propellant to redistribute. A 0.2 rpm change in sin rate was observed with an exponential decay time constant of 6 minutes. In this paper, moment of inertia, tank geometry and hydrodynamic models are derived to match the observed spin rate data. The values of the total mass of propellant considered were 16, 19 and 20 kgs with corresponding mass imbalances of 14.3, 15 and 15.1 Kgs, respectively. The result shows excellent agreement with observed spin rate data but it was necessary to assume a greater mass of hydrazine in the tanks than propellant accounting indicated.

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Single and High-Lift Airfoil Design Optimization Using Aerodynamic Sensitivity Analysis

  • Kim, Chang Sung;Lee, Byoungjoon;Kim, Chongam;Rho, Oh-Hyun
    • International Journal of Aeronautical and Space Sciences
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    • 제2권1호
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    • pp.20-27
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    • 2001
  • Aerodynamic sensitivity analysis is performed for the Navier-Stokes equations coupled with two-equation turbulence models using a discrete adjoint method and a direct differentiation method respectively. Like the mean flow equations, the turbulence model equations are also hand-differentiated to accurately calculate the sensitivity derivatives of flow quantities with respect to design variables in turbulent viscous flows. The sensitivity codes are then compared with the flow solver in terms of solution accuracy, computing time and computer memory requirements. The sensitivity derivatives obtained from the sensitivity codes with different turbulence models are compared with each other. The capability of the present sensitivity codes to treat complex geometry is successfully demonstrated by analyzing the flows over multi-element airfoils on Chimera overlaid grid systems.

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