• 한국지구과학회지
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• 제34권5호
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• pp.393-401
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• 2013

Spherical harmonics power spectrum of the geopotential field of Gaussian-bell type on the sphere was investigated using integral formula that is associated with Legendre polynomials. The geopotential field of Gaussian-bell type is defined as a function of sine of angular distance from the bell's center in order to guarantee the continuity on the global domain. Since the integral-formula associated with the Legendre polynomials was represented with infinite series of polynomial, an estimation method was developed to make the procedure computationally efficient while preserving the accuracy. The spherical harmonics power spectrum was shown to vary significantly depending on the scale parameter of the Gaussian bell. Due to the accurate procedure of the new method, the power (degree variance) spanning over orders that were far higher than machine roundoff was well explored. When the scale parameter (or width) of the Gaussian bell is large, the spectrum drops sharply with the total wavenumber. On the other hand, in case of small scale parameter the spectrum tends to be flat, showing very slow decaying with the total wavenumber. The accuracy of the new method was compared with theoretical values for various scale parameters. The new method was found advantageous over discrete numerical methods, such as Gaussian quadrature and Fourier method, in that it can produce the power spectrum with accuracy and computational efficiency for all range of total wavenumber. The results of present study help to determine the allowable maximum scale parameter of the geopotential field when a Gaussian-bell type is adopted as a localized function.

• 한국광학회지
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• 제30권2호
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• pp.48-58
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• 2019

구면 초점 초음파 측정기에 의해 구형의 광 흡수체로부터 측정된 시간(즉, 펄스 형태 광원) 및 주파수 영역(즉, 처프 형태 광원) 광음향 신호의 신호 대 잡음비(signal-to-noise ratio)를 이론 및 시뮬레이션으로 분석하였다. 이전 문헌과 마찬가지로 시간 영역 광음향 측정에 의한 신호 대 잡음비 값이 주파수 영역 광음향 측정의 경우보다 더 높았는데 이 근본적인 이유를 최대허용노광량(maximum permissible exposure)에 따른 광원의 세기와 주파수 필터링을 통한 두 측정 모드의 광음향 스펙트럼들에 대한 분석을 통해 이해하였다. 또한, 분석의 결과로서 주파수 영역 광음향의 처프 형태 광원에 대한 정합 필터링에 더해 DC 스펙트럼 부분을 제거하니 신호 대 잡음비가 5 dB 정도 상승하는 것을 발견하였다. 특히, 주파수 필터 함수의 주파수 상한 값의 변화에 따라 신호대 잡음비 값이 급격하게 변동하였는데 신호 대 잡음비가 최대가 되는 주파수 상한 값이 두 광음향 측정 모드에서 서로 다르게 나타남을 관찰하였다.

• 대한조선학회논문집
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• 제57권5호
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• pp.271-277
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• 2020

Recoverability and vulnerability of navy ships under underwater explosion are critical verification factors in the acquisition phase of navy ships. This paper aims to establish numerical analysis techniques for the underwater explosion of navy ships. Doubly Asymptotic Approach (DAA) Equation of Motion (EOM) of primary shock wave and secondary bubble pulse proposed by Geers-Hunter was introduced. Assuming a non-compressive fluid, reference solution of the DAA EOM of Geers-Hunter using Runge-Kutta method was derived for the secondary bubble pulse phase with an assumed charge conditions. Convergence analyses to determine fluid element size were performed, suggesting that the minimum fluid element size for underwater explosion analysis was 0.1 m. The spherical and cylindrical fluid domains were found to be appropriate for the underwater explosion analyses from the fluid domain shape study. Because the element size of 0.1 m was too small to be applied to the actual navy ships, a very slender beam with the square solid section was selected for the study of fluid domain existence effect. The two underwater explosion models with/without fluid domain provided very similar results in terms of the displacement and stress processes.

• 한국지구과학회지
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• 제38권3호
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• pp.173-181
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• 2017

The stability of the steady Rossby-Haurwitz wave (R-H wave) in the nondivergent barotropic model (NBM) on the sphere was investigated with the normal mode method. The linearized NBM equation with respect to the R-H wave was formulated into the eigenvalue-eigenvector problem consisting of the huge sparse matrix by expanding the variables with the spherical harmonic functions. It was shown that the definite threshold R-H wave amplitude for instability could be obtained by the normal mode method. It was revealed that some unstable modes were stationary, which tend to amplify without the time change of the spatial structure. The maximum growth rate of the most unstable mode turned out to be in almost linear proportion to the R-H wave amplitude. As a whole, the growth rate of the unstable mode was found to increase with the zonal- and total-wavenumber. The most unstable mode turned out to consist of more-than-one zonal wavenumber, and in some cases, the mode exhibited a discontinuity over the local domain of weak or vanishing flow. The normal mode method developed here could be readily extended to the basic state comprised of multiple zonalwavenumber components as far as the same total wavenumber is given.

• 한국지구과학회지
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• 제41권4호
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• pp.344-355
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• 2020

Tropical cyclone scale vortices and associated Rossby waves were investigated numerically using high-resolution barotropic models on the global domain. The equations of the barotropic model were discretized using the spectral transform method with the spherical harmonics function as orthogonal basis. The initial condition of the vortex was specified as an axisymmetric flow in the gradient wind balance, and four types of basic zonal states were employed. Vortex tracks showed similar patterns as those on the beta-plane but exhibited more eastward displacement as they moved northward. The zonal-mean flow appeared to control not only the west-east translation but also the meridional translation of the vortex. Such a meridional influence was revealed to be associated with the beta gyre and the Rossby wave, which are formed around the vortex due to the beta effect. In the case of the basic zonal state of climatological mean, the meridional translation speed reached the maximum value when the vortex underwent recurving.

• Journal of Information Processing Systems
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• 제10권1호
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• pp.23-35
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• 2014

Recently, novel application areas in digital geometry processing, such as simulation, dynamics, and medical surgery simulations, have necessitated the representation of not only the surface data but also the interior volume data of a given 3D object. In this paper, we present an efficient framework for the shape approximations of spherical solid objects based on trivariate B-splines. To do this, we first constructed a smooth correspondence between a given object and a unit solid cube by computing their harmonic mapping. We set the unit solid cube as a rectilinear parametric domain for trivariate B-splines and utilized the mapping to approximate the given object with B-splines in a coarse-to-fine manner. Specifically, our framework provides user-controllability of shape approximations, based on the control of the boundary condition of the harmonic parameterization and the level of B-spline fitting. Experimental results showed that our method is efficient enough to compute trivariate B-splines for several models, each of whose topology is identical to a solid sphere.

• Journal of Information Processing Systems
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• 제13권4호
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• pp.677-688
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• 2017

In order to solve the undetected probability of multiple targets in ultra-wideband (UWB) through-the-wall radar imaging (TWRI), a time-delay and amplitude modified back projection (BP) algorithm is proposed. The refraction point is found by Fermat's principle in the presence of a wall, and the time-delay is correctly compensated. On this basis, transmission loss of the electromagnetic wave, the absorption loss of the refraction wave, and the diffusion loss of the spherical wave are analyzed in detail. Amplitude compensation is deduced and tested on a model with a single-layer wall. The simulating results by finite difference time domain (FDTD) show that it is effective in increasing the scattering intensity of the targets behind the wall. Compensation for the diffusion loss in the spherical wave also plays a main role. Additionally, the two-layer wall model is simulated. Then, the calculating time and the imaging quality are compared between a single-layer wall model and a two-layer wall model. The results illustrate the performance of the time-delay and amplitude-modified BP algorithm with multiple targets and multiple-layer walls of UWB TWRI.

• 대한기계학회논문집
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• 제18권11호
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• pp.2999-3007
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• 1994

The unsteady numerical simulations have been presented for the laminar natural convection in a partially open compartment. Computations were performed within the domain of the compartment in order to show the thermal radiation and the partially opening effects on the flow fields and heat transfer characteristics. The results were shown for different Planck numbers(0.05~5) and opening ratios(0.25~0.75) being fixed with Ra=$10^5$ and Pr=0.71. Considering the flow which is buoyancy driven from the heated wall, and the buoyancy is not much affected by the further outside region from the opening, the numerical computations have been performed without an outer region by the particular boundary treatments on the flow velocity and temperature at the different partial openings. The confined numerical domain reduced the CPU time and the memory of computer. P-1 approximation of radiative transfer equation was employed with Marshak type boundary conditions along with the pseudo-black body approximation at the partial openings. The numerical results clearly show that the natural convective flow and heat transfer are much affected by increase of thermal radiation particularly from the initial state. When thermal radiation is not much affecting the flow ($PL{\le}1$), it was found that thermal radiation effects are almost negligible.

• 한국컴퓨터그래픽스학회논문지
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• 제26권3호
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• pp.61-68
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• 2020

본 연구에서는 360° 파노라마의 깊이 영상을 추정하는 딥러닝 구조를 제안한다. 이전 연구들에서는 딥러닝 네트워크를 학습시키기 위해 렌더링된 360° 파노라마 데이터 셋을 사용했다. 하지만, 렌더링된 파노라마 데이터 셋은 실제로 촬영된 파노라마 데이터 셋과 다르기 때문에, 이전 연구들의 네트워크는 실제로 촬영된 파노라마에 대해선 깊이 영상을 정확히 추정할 수가 없었다. 이 문제를 해결하기 위해 본 연구에서는 도메인 적응을 사용해서 렌더링된 파노라마와 실제로 촬영된 파노라마가 공유하는 특징들을 네트워크가 학습하게 했다. 실험을 통해 우리의 방식이 렌더링된 파노라마에 대해선 우수한 성능을 유지하면서 실제로 촬영된 파노라마에 대해서도 정확한 깊이 영상을 추정하는 것을 볼 수 있다.

• 한국음향학회지
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• 제25권6호
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• pp.298-304
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• 2006

본 논문에서는 천해 음파전달 모의에 적합한 음선기반 광대역 주파수 신호 모의기법을 제안하였다. 본 기법은 깊이에 따라 음속이 선형적으로 변하는 환경 및 층매질에서의 음선추적을 기반으로 평면파 및 구형파의 반사 및 투과, 굴절 그리고 감쇠 등을 고려해 각 고유음선의 위상 및 크기로부터 신호를 모의한다. 본 기법의 가장 큰 특징은 주파수영역을 거치지 않고 시간영역에서 이산화된 신호를 직접 모의함으로써 주파수 대역에 관계없이 계산시간을 단축할 수 있다는 것이다. 끝으로 제안된 기법을 네 가지의 테스트환경에 적용하여 기존의 검증된 모텔 (ORCA, Ram) 의 결과와 비교하여 그 효용성을 검증하였다