• Title/Summary/Keyword: 역확산 방정식

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Image Restoration Algorithm using Backward Diffusion Equation (역확산 방정식을 이용한 영상복원 알고리즘)

  • 이석호;최은철;강문기
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.40 no.1
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    • pp.34-42
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    • 2003
  • In this paper, the image restoration process is interpreted as a backward diffusion process and the restored image is given as the solution of the backward diffusion equation (BDF). The ill-posedness of the backward diffusion if subdued by manipulating the exponentially increasing coefficients of the eigenfunctions. In manipulating the coefficients the spectral characteristics of an image is taken into account. The proposed scheme uses an exponentially decreasing function of the coefficients of the eigenfunctions beyond a certain threshold which is optimal with respect to the observation accuracy. The use of decreasing functions also improves the result compared with the constant bounded algorithm since it can include more low frequency components.

Optimal Regularized Image Restoration Algorithm based on Backward Diffusion Equation (역확산 방정식을 기반으로한 최적 정규화 영상 복원 알고리즘)

  • 최은철;이석호;강문기
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2000.11b
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    • pp.75-80
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    • 2000
  • 본 논문은 영상복원을 역확산 과정으로 해석하여 복원된 영상을 역확산 방정식의 해로 구하는 알고리즘을 제안한다. 역확산 과정은 물리적으로 불량위치(ill-posed)과정이기 때문에, 이를 정규화 해주어야 하는데 이를 위해서 역확산 과정을 고유함수(eigenfunction)들의 전개로 나타낸 후에 고유함수들의 계수들을 조작하였다. 본 논문에서는 계수들을 조작할 때 영상이 가지고 있는 주파수 특성을 고려하여 한계주파수(cut-off frequency)를 넘은 경우에 계수들을 시간과 주파수의 감소함수로 나타내어 불량위치문제를 해결하였다. 계수를 주파수에 대한 감소함수로 나타낸 것은 영상에 저주파 성분이 많고, 고주파 성분이 영상의 형성에 끼치는 영향이 상대적으로 적다는 영상의 특성을 고려한 것이다. 이러한 감소함수를 사용하였을 때 불량위치 문제를 해결할 수 있다는 것을 증명하였고, 실험적으로 양질의 영상을 산출함을 보였다.

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Redistribution of Passive Impurity by Long Waves in Coastal Zone (연안역에서의 장파에 의한 오염원 확산)

  • Ivanov, Vitaly;Pelinovsky, Efim;Talipova, Tatjana
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.3
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    • pp.232-239
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    • 1993
  • In this paper the effect of wave motion acting on the natural folds of dispersed material in the coastal zone is studied. After integrating the usual diffusion equation with respect to the depth using shallow-water approximation simpler equation for integrated concentration was obtained. which holds for long waves of arbitrary amplitude and far any arbitrary barotropic flows. Different situations of long wave action on impurity concentration in the frame of this equation are considered.

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부유성 HNS의 근접영역의 확산 특성에 대한 수치해석

  • Go, Min-Gyu;Jeong, Chan-Ho;Lee, Mun-Jin;Jeong, Jeong-Yeol;Lee, Seong-Hyeok
    • Proceedings of KOSOMES biannual meeting
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    • 2017.11a
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    • pp.162-163
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    • 2017
  • 해양 HNS(Hazardous and Noxious Substances)의 유출 사고 시, 막대한 인명 피해와 환경 훼손을 피하기 위해 유출 사고 조기 예측과 정확한 확산 경로를 예측하는 것이 필수적이다. 본 연구의 최종목적은 전산유체역학을 이용하여 HNS사고가 발생하였을 때 위험구역을 적절히 예측할 수 있는 수치해석기법을 개발하고, 다양한 해양사고조건과 환경영향을 고려하여 근접역에서의 2차원 확산 특성을 고찰하고 확산 현상을 예측하기 위한 모델을 개발하는 것이다. 본 연구에서는 상용코드인 ANSYS FLUENT(V. 17.2)을 사용하여 근접역에서의 2차원 확산특성을 모사하고 분석하였다. 특히, 누출된 HNS의 위치별 농도를 예측하기 위해 종수송방정식(Species Transport Equation)을 이용하였으며 RANS(Reynolds-Averaged Navier-Stokes) 방정식과 표준 $k-{\varepsilon}$ 모델을 이용하여 난류유동을 모사하였다. 해석된 결과는 문헌에서 얻어진 실험데이터와 상호비교하였으며 해수의 유속, HNS의 밀도에 따른 유층 두께, 해수면 HNS 평균 농도 그리고 HNS 전파 속도를 분석하였다. 유층 두께는 해류 유속에 따라 변화하며 변화 경향에 따라 두 구간으로 나눌 수 있다. 해류 전파 속도는 대체로 해류 유속과 선형적 비례관계를 갖는 것으로 나타났다. 해수면 평균 HNS 농도는 해류 유속에 선형적으로 비례하여 감소하며, HNS 밀도가 큰 경우 해수면 평균 HNS 체적 농도는 더 빠르게 감소하게 된다. 이러한 결과는 HNS 확산 특성을 분석하고 관련된 예측모델을 개발하는 데에 기여할 수 있다.

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A Two-dimensional Turbulence Model for the Thermal Discharge into Crossflow Field (가로흐름 수성으로 방출되는 2차원 온배수 난류모형)

  • Choi, Hung-Sik;Jung, Kyung-Tae;So, Jae-Kwi;Lee, Kil-Seong
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.2
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    • pp.91-98
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    • 1993
  • A two-dimensional turbulence model for the surface discharge of heated water into cross-flow field has been developed. The depth-averaged continuity, momentum and temperature equations, are solved by an efficient finite-difference procedure known as SIMPLE. Turbulent stresses and heat fluxes are determined from a depth-averaged version of the $textsc{k}$-$\varepsilon$ equation. Results of test run clearly demonstrate its effectiveness in handling strong turbulent phenomena in very shallow near-field region.

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Automatic Music Transcription System Using SIDE (SIDE를 이용한 자동 음악 채보 시스템)

  • Hyoung, A-Young;Lee, Joon-Whoan
    • The KIPS Transactions:PartB
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    • v.16B no.2
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    • pp.141-150
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    • 2009
  • This paper proposes a system that can automatically write singing voices to music notes. First, the system uses Stabilized Diffusion Equation(SIDE) to divide the song to a series of syllabic parts based on pitch detection. By the song segmentation, our method can recognize the sound length of each fragment through clustering based on genetic algorithm. Moreover, this study introduces a concept called 'Relative Interval' so as to recognize interval based on pitch of singer. And it also adopted measure extraction algorithm using pause data to implement the higher precision of song transcription. By the experiments using 16 nursery songs, it is shown that the measure recognition rate is 91.5% and DMOS score reaches 3.82. These findings demonstrate effectiveness of system performance.

A Comparative Study of Two-Dimensional Numerical Models for Surface Discharge of Heated Water into Crossflow Field (가로흐름 수역으로 방출되는 2차원 표면온배수 수치모형 비교연구)

  • 이남주;최흥식;이길성
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.1
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    • pp.40-50
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    • 1994
  • For an accurate prediction of the temperature field induced by heated water discharged into a shallow crossflow, a two-dimensional near-field numerical model is developed. It is based on a 4-equation turbulence model in which the transport equations for mean of the temperature fluctuation squared and its dissipation rate are added to those of a 2-equation turbulence model which cannot give the information of the thermal time scale ratio. Vertical diffusion is also considered by including buoyancy production and turbulence heat flux terms. The developed model is applied to a steady flow in an open channel with simple geometry and the results are compared with existing experimental data and those of the already established 2-equation turbulence model. Numerical results of the model agree with the experimental data better than those of the 2-equation model. The present model also simulates quite adequately the physical characteristics of thermal discharge in the jet entrainment and stable regions.

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Analysis of Diffusion Equations by Coupling of Laplace Transform and Finite Element Method (라플라스 변환과 유한요소법의 결합에 의한 확산방정식의 해석)

  • 성병철;이준호;이기식
    • Journal of the Korean Magnetics Society
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    • v.8 no.3
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    • pp.161-168
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    • 1998
  • In this paper, a algorithm is proposed, which is applicable to the transient analysis of diffusion equations by combined use of the Laplace transform and the finite element method. The proposed method removes the time terms using the Laplace transform and then solves the associated equation with the finite element method. The solution which is solved at frequency domain is transformed into time domain by use of the Laplace inversion. To verify the proposed algorithm, a heat conduction problem is analysed. And the solution showed a good agreement with analytic solution. Because the time-step method is not needed, the proposed method is very useful in solving various kinds of diffusion equations.

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A Moisture Diffusivity Model of Hardening Concrete (경화하는 콘크리트의 수분확산도 모형)

  • Jeong, Jin-Hoon
    • International Journal of Highway Engineering
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    • v.7 no.1 s.23
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    • pp.31-38
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    • 2005
  • Concrete has higher vapor pressure than its surrounding ambient air immediately after placement. Moisture at concrete surface evaporates to the ambient air to adjust equilibrium of the vapor pressure between them. The moisture inside the concrete moves to the surface because the evaporation at the surface causes gradient of vapor pressure inside the concrete. Plastic cracking, degree of hydration, strength development, and others caused by velocity of the moisture movement significantly influences quality of concrete. In this paper, the moisture diffusivity of early-age concrete was back-calculated using governing equation of the moisture diffusion, and temperature and relative humidity of concrete measured in a laboratory. The moisture diffusivity of the concrete was modeled using the back-calculated moisture diffusivity. The relative humidity of the concrete calculated by finite element method (FEM) using the modeled moisture diffusivity as Input data coincided with the measured relative humidity well.

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Mathematical Model for Acousto-Optical Tomography and Its Numerical Simulation (음향광학 단층촬영(Acousto-Optical Tomography)의 수학적 모델과 수치해석적 시뮬레이션)

  • Nam, Hae-Won;Hur, Jang-Yong;Kim, So-Young;Lee, Re-Na
    • Progress in Medical Physics
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    • v.23 no.1
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    • pp.42-47
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    • 2012
  • In this paper, Acousto-Optical tomography is modeled by a linear integral equation and an inverse problem involving a diffusion equation in n-spatial dimensions. We make two-step mathematical model. First, we solve a linear integral equation. Assuming the optical energy fluence rate has been recovered from the previous equation, the absorption coefficient ${\mu}$ is then reconstructed by solving an inverse problem. Numerical experiments are presented for the case n=2. The traditional gradient descent method is used for the numerical simulations. The result of the gradient descent method produces the blurring effect. To get rid of the blurring effect, we suggest the total variation regularization for the minimization problem.