• Title/Summary/Keyword: Adaptive Decomposition Method

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Adaptive Re-reflecting Wave Control in Plunger Type Wave Maker System: Theory

  • Park, Jae-Woong;Lee, Jin-Ho;Park, Gun-Il;Kim, Ki-Jung
    • Journal of Ship and Ocean Technology
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    • v.6 no.4
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    • pp.13-18
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    • 2002
  • Active control has been partly applied to suppress the re-reflecting waves in wave basin with plunger-type wave maker to obtain desirable waves. This limitation comes from the non-confirmable theoretical background to the control algorithm. This paper proposes control logic to overcome this drawback, based on the impulse response function for propagating waves between control input and the wave height. The performances have been verified as reasonable in practical application by comparing with the propagating wave components in numerical wave basin, using wave decomposition method. Moreover, the control logic can also give useful wave-absorbing performance after cessation of wave generation.

ADAPTIVE CVT-BASED REDUCED-ORDER MODELING OF BURGERS EQUATION

  • Piao, Guang-Ri;Du, Qiang;Lee, Hyung-Chun
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.13 no.2
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    • pp.141-159
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    • 2009
  • In this article, we consider a weighted CVT-based reduced-order modelling for Burgers equation. Brief review of the CVT (centroidal Voronoi tessellation) approaches to reduced-order bases are provided. In CVT-reduced order modelling, we start with a snapshot set just as is done in a POD (Proper Orthogonal Decomposition)-based setting. So far, the CVT was researched with uniform density ($\rho$(y) = 1) to determine the basis elements for the approximatin subspaces. Here, we shall investigate the technique of CVT with nonuniform density as a procedure to determine the basis elements for the approximating subspaces. Some numerical experiments including comparison of two CVT (CVT-uniform and CVT-nonuniform)-based algorithm with numerical results obtained from FEM(finite element method) and POD-based algorithm are reported.

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IMPROVEMENT OF FLOW SIMULATIONS METHOD WITH MULTI-RESOLUTION ANALYSIS BY BOUNDARY TREATMENT (경계면 처리 개선을 통한 다중해상도 유동해석 기법 개선 연구)

  • Kang, H.M.
    • Journal of computational fluids engineering
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    • v.20 no.4
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    • pp.44-50
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    • 2015
  • The computational efficiency of flow simulations with Multi-resolution analysis (MRA) was enhanced via the boundary treatment of the computational domain. In MRA, an adaptive dataset to a solution is constructed through data decomposition with interpolating polynomial and thresholding. During the decomposition process, the basis points of interpolation should exceed the boundary of the computational domain. In order to resolve this problem, the weight coefficients of interpolating polynomial were adjusted near the boundaries. By this boundary treatment, the computational efficiency of MRA was enhanced while the numerical accuracy of a solution was unchanged. This modified MRA was applied to two-dimensional steady Euler equations and the enhancement of computational efficiency and the maintenance of numerical accuracy were assessed.

Adaptive V1-MT model for motion perception

  • Li, Shuai;Fan, Xiaoguang;Xu, Yuelei;Huang, Jinke
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.1
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    • pp.371-384
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    • 2019
  • Motion perception has been tremendously improved in neuroscience and computer vision. The baseline motion perception model is mediated by the dorsal visual pathway involving the cortex areas the primary visual cortex (V1) and the middle temporal (V5 or MT) visual area. However, few works have been done on the extension of neural models to improve the efficacy and robustness of motion perception of real sequences. To overcome shortcomings in situations, such as varying illumination and large displacement, an adaptive V1-MT motion perception (Ad-V1MTMP) algorithm enriched to deal with real sequences is proposed and analyzed. First, the total variation semi-norm model based on Gabor functions (TV-Gabor) for structure-texture decomposition is performed to manage the illumination and color changes. And then, we study the impact of image local context, which is processed in extra-striate visual areas II (V2), on spatial motion integration by MT neurons, and propose a V1-V2 method to extract the image contrast information at a given location. Furthermore, we take feedback inputs from V2 into account during the polling stage. To use the algorithm on natural scenes, finally, multi-scale approach has been used to handle the frequency range, and adaptive pyramidal decomposition and decomposed spatio-temporal filters have been used to diminish computational cost. Theoretical analysis and experimental results suggest the new Ad-V1MTMP algorithm which mimics human primary motion pathway has universal, effective and robust performance.

An Adaptive Mutiresolution Estimation Considering the Spatial and Spectral Characteristic

  • Kim, Kwang-Yong;Kim, Kyung-Ok
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.999-1002
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    • 2002
  • In this paper, we proposes an adaptive method for reducing the computational overhead of fine-to-coarse MRME at the finest resolution level by considering for the spatial and spectral characteristics between wavelet decomposition levels simultaneously. As we know, there is high correlation between the adjacent blocks and it can give the very important clue to estimate motion at finest level. So, in this paper, using the initial motion vector and the adjacent motion vector in the coarsest level, we determine the optimal direction that will be minimized the estimation error in the finest level. In that direction, we define the potential searching region within the full searching region that is caused to increase much computational overhead in the FtC method. Last, in that region, we process the efficient 2-step motion estimation. and estimate the motion vector at finest resolution level. And then, this determined motion vector is scaled to coarser resolutions. As simulation result, this method is similar to computational complexity of the CtF MRME method and very significantly reduces that of the FtC MRME method. In addition, they provide higher quality than CtF MRME, both visually and quantitatively

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A Multi-Resolution Approach to Non-Stationary Financial Time Series Using the Hilbert-Huang Transform

  • Oh, Hee-Seok;Suh, Jeong-Ho;Kim, Dong-Hoh
    • The Korean Journal of Applied Statistics
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    • v.22 no.3
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    • pp.499-513
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    • 2009
  • An economic signal in the real world usually reflects complex phenomena. One may have difficulty both extracting and interpreting information embedded in such a signal. A natural way to reduce complexity is to decompose the original signal into several simple components, and then analyze each component. Spectral analysis (Priestley, 1981) provides a tool to analyze such signals under the assumption that the time series is stationary. However when the signal is subject to non-stationary and nonlinear characteristics such as amplitude and frequency modulation along time scale, spectral analysis is not suitable. Huang et al. (1998b, 1999) proposed a data-adaptive decomposition method called empirical mode decomposition and then applied Hilbert spectral analysis to decomposed signals called intrinsic mode function. Huang et al. (1998b, 1999) named this two step procedure the Hilbert-Huang transform(HHT). Because of its robustness in the presence of nonlinearity and non-stationarity, HHT has been used in various fields. In this paper, we discuss the applications of the HHT and demonstrate its promising potential for non-stationary financial time series data provided through a Korean stock price index.

RESEARCH ON THE WAVELET METHOD FOR THE IMPROVEMENT OF COMPUTATIONAL EFFICIENCY OF TWO DIMENSIONAL FLOW PROBLEMS (2차원 비정상 유동 해석 효율 향상을 위한 Wavelet 기법 응용 연구)

  • Kang, H.M.;Hong, S.W.;Jeong, J.H.;Kim, K.H.;Lee, D.H.;Lee, D.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.42-49
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    • 2008
  • A wavelet method is presented in order to improve the computational efficiency of two dimensional unsteady flow problems while maintaining the order of accuracy of conventional CFD schemes. First, by using the interpolating wavelet transformation including decomposition and thresholding, an adaptive dataset to a solution is constructed. Then, inviscid and viscous fluxes are calculated only at the points within an adaptive dataset, which enhances the computational efficiency. Second, thresholding step is modified to maintain the spatial and temporal accuracy of conventional CFD schemes automatically by selecting the threshold value between user-defined value and the magnitude of spatial or temporal truncation error. The wavelet method suggested in this study is successfully applied to various unsteady flow problems and it is shown that the computational efficiency is enhanced with maintaining the computational accuracy of CFD schemes.

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RESEARCH ON THE WAVELET METHOD FOR THE IMPROVEMENT OF COMPUTATIONAL EFFICIENCY OF TWO DIMENSIONAL FLOW PROBLEMS (2차원 비정상 유동 해석 효율 향상을 위한 Wavelet 기법 응용 연구)

  • Kang, H.M.;Hong, S.W.;Jeong, J.H.;Kim, K.H.;Lee, D.H.;Lee, D.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.42-49
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    • 2008
  • A wavelet method is presented in order to improve the computational efficiency of two dimensional unsteady flow problems while maintaining the order of accuracy of conventional CFD schemes. First, by using the interpolating wavelet transformation including decomposition and thresholding, an adaptive dataset to a solution is constructed. Then, inviscid and viscous fluxes are calculated only at the points within an adaptive dataset, which enhances the computational efficiency. Second, thresholding step is modified to maintain the spatial and temporal accuracy of conventional CFD schemes automatically by selecting the threshold value between user-defined value and the magnitude of spatial or temporal truncation error. The wavelet method suggested in this study is successfully applied to various unsteady flow problems and it is shown that the computational efficiency is enhanced with maintaining the computational accuracy of CFD schemes.

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An adaptive method of multi-scale edge detection for underwater image

  • Bo, Liu
    • Ocean Systems Engineering
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    • v.6 no.3
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    • pp.217-231
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    • 2016
  • This paper presents a new approach for underwater image analysis using the bi-dimensional empirical mode decomposition (BEMD) technique and the phase congruency information. The BEMD algorithm, fully unsupervised, it is mainly applied to texture extraction and image filtering, which are widely recognized as a difficult and challenging machine vision problem. The phase information is the very stability feature of image. Recent developments in analysis methods on the phase congruency information have received large attention by the image researchers. In this paper, the proposed method is called the EP model that inherits the advantages of the first two algorithms, so this model is suitable for processing underwater image. Moreover, the receiver operating characteristic (ROC) curve is presented in this paper to solve the problem that the threshold is greatly affected by personal experience when underwater image edge detection is performed using the EP model. The EP images are computed using combinations of the Canny detector parameters, and the binaryzation image results are generated accordingly. The ideal EP edge feature extractive maps are estimated using correspondence threshold which is optimized by ROC analysis. The experimental results show that the proposed algorithm is able to avoid the operation error caused by manual setting of the detection threshold, and to adaptively set the image feature detection threshold. The proposed method has been proved to be accuracy and effectiveness by the underwater image processing examples.

Comparison of Preconditioned Conjugate Gradient Methods for Adaptive Finite Element Analysis (유한요소 적응분할해석을 위한 선조정 공액구배법들의 비교연구)

  • 주관정
    • Computational Structural Engineering
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    • v.1 no.2
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    • pp.121-130
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    • 1988
  • Adaptive reinements yield a large sparse system of equations. In order to solve such a system, the core storage requirement is an important consideration. Accordingly, an iterative method which minimizes the core storage and provides a high rate of convergence is called for. In this paper the conjugate gradient algorithms with various preconditionings including the incomplete Cholesky decomposition are examined.

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