• Title/Summary/Keyword: 고유치(固有値)

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Automatic Segmentation of Coronary Vessel in X-ray Angiography using Non-uniform Illumination Correction and Eigenvalue of Hessian Matrix (X-선 혈관 조영 영상에서 불균일 조명 보정과 Hessian 행렬 고유치를 이용한 심혈관 자동 분할)

  • Kim, Hye-Ryun;Kang, Mi-Sun;Kim, Myoung-Hee
    • Proceedings of the Korea Information Processing Society Conference
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    • 2012.04a
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    • pp.414-416
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    • 2012
  • 본 논문에서는 X-선 혈관 조영 영상 내 심혈관의 추출 방법을 제안한다. 본 방법은 불균일 조명 보정 필터를 사용함으로써 X-선 영상 내에서 나타나는 일정하지 않은 contrast, 낮은 명암도 및 불균일 조명 문제를 해결한다. 또한 영상의 지역적인 밝기 값의 변화의 특징을 고려하면서 분할 대상영역의 각 픽셀들의 2 차 미분((second partial derivation)을 행렬의 요소(element)로 갖는 Hessian 행렬의 고유치 (eigenvalue)를 영역확장의 문턱치 결정에 이용하여 전역적인 밝기값(intensity)만을 사용하는 분할의 단점을보완하였다.

Probabilistic finite Element Analysis of Eigenvalue Problem- Buckling Reliability Analysis of Frame Structure- (고유치 문제의 확률 유한요소 해석)

  • 양영순;김지호
    • Computational Structural Engineering
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    • v.4 no.2
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    • pp.111-117
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    • 1991
  • The analysis method calculating the mean and standard deviation for the eigenvalue of complicated structures in which the limit state equation is implicitly expressed is formulated and applied to the buckling analysis by combining probabilistic finite element method with direct differential method which is a kind of sensitivity analysis technique. Also, the probability of buckling failure is calculated by combining classical reliability techniques such a MVFOSM and AFOSM. As random variables external load, elastic modulus, sectional moment of inertia and member length are chosen and Parkinson's iteration algorithm in AFOSM is used. The accuracy of the results by this study is verified by comparing the results with the crude Monte Carlo simulation and Importance Sampling Method. Through the case study of some structures the important aspects of buckling reliability analysis are discussed.

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Analysis of SAR Interference Suppression Techniques using Eigen-subspace based Filter (고유치 기반 필터를 이용한 위성 SAR 영상 간섭신호 제거 기법)

  • Lee, Bo-Yun;Kim, Bum-Seung;Song, Jung-Hwan;Lee, Woo-Kyung
    • Journal of Satellite, Information and Communications
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    • v.12 no.3
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    • pp.63-68
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    • 2017
  • SAR(Synthetic Aperture Radar) uses electromagnetic signals to acquire ground information and has been used for wide coverage reconnaissance missions regardless of weather conditions. However SAR is known to be vulnerable to interference signals by other communication devices or radar instruments and may suffer from undesirable performance degradations and image quality. In this paper, a modified Eigen-subspace based filter is proposed that can be easily applied to SAR images affected by interference signals. The method of constructing Eigen-subspace based filter is briefly described and various simulations are performed to show the performance of the interference mitigation process. The suppression filter is applied to a ALOS PALSAR raw data affected by interfering signals in order to verify its superiority over the Notch filter.

A study on modified biorthogonalization method for decreasing a breakdown condition

  • Kim, Sung-Kyung
    • Journal of Korea Society of Industrial Information Systems
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    • v.7 no.5
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    • pp.59-66
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    • 2002
  • Many important scientific and engineering problems require the computation of a small number of eigenvalues for large nonsymmetric matrices. The biorthogonal Lanczos method is one of the methods to solve that problem, but it faces serious breakdown problems. In this paper, we introduce a modified biorthogonal Lanczos method to find a few eigenvalues of a large sparse nonsymmetric matrix. The proposed method generates reduction matrices that are similar to those generated by the standard biorthogonal Lanczos method. We prove that the breakdown conditions of our method are less stringent than the standard method. We then implement the modified biorthogonal Lanczos method on the CRAY machine and discuss the decreased breakdown conditions.

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Factor Effects of Low-Frequency Instability of Brake System Using Complex Eigenvalue Analysis (복소 고유치 해석을 통한 브레이크 시스템의 저주파 불안정성 영향인자 분석)

  • Lee, Ik Hwan;Jeong, Wontae;Park, Kyung Hwan;Lee, Jongsoo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.6
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    • pp.683-689
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    • 2014
  • The present study conducted a parameter effect analysis of low-frequency squeal noise using a numerical simulation. The finite element program ABAQUS was used to calculate the dynamic instability based on a complex eigenvalue analysis. A total of five parameters, including the chassis, wear, piston, material property, and contact condition, were selected to identify the factor effects on a low-frequency squeal noise between 2.5 and 3.1 kHz. The present study found the dominant level of each factor through an analysis of the means in the context of the experiment design.

Eigenvalue Analysis of Symmetrically Stepped Beams by Equivalent Beam Transformation (대칭단헝 단순보의 등가보 변환에 의한 고유치 해석)

  • Jung Jae-Chul;Moon Sang-Pil
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.1 s.71
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    • pp.55-62
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    • 2006
  • The natural frequency of a beam plays a critical role in the dynamic analysis of beams. Especially it is a complicated and difficult task to analyse the natural frequency of a stepped beam with an irregularly varying section. The lumped mass methods, multi-degree of freedom analyses, are mainly used for the analysis of this kind of stepped beams. The accuracy of these methods are determined by the number of the partitions of elements, the number of the iterations in calculation, and the accuracy of assumed mode shapes. This study presents a method of transformation from symmetrically stepped beams to an equivalent beam and a method of the eigenvalue analysis. Appropriateness and utility of this method are demonstrated by comparing examples from other literatures and various models.

Improved Method Evaluating the Stiffness Matrices of Thin-walled Beam on Elastic Foundations (탄성지반위에 놓인 박벽보의 강성행렬산정을 위한 개선된 해석기법)

  • Kim, Nam-Il;Jung, Sung-Yeop;Lee, Jun-Seok;Kim, Moon-Young
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.2
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    • pp.113-125
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    • 2007
  • Improved numerical method to obtain the exact stiffness matrices is newly proposed to perform the spatially coupled elastic and stability analyses of non-symmetric and open/closed thin-walled beam on elastic foundation. This method overcomes drawbacks of the previous method to evaluate the exact stiffness matrix for the spatially coupled stability analysis of thin-walled beam-column This numerical technique is accomplished via a generalized eigenproblem associated with 14 displacement parameters by transforming equilibrium equations to a set of first order simultaneous ordinary differential equations. Next polynomial expressions as trial solutions are assumed for displacement parameters corresponding to zero eigenvalues and the eigenmodes containing undetermined parameters equal to the number of zero eigenvalues are determined by invoking the identity condition. And then the exact displacement functions are constructed by combining eigensolutions and polynomial solutions corresponding to non-zero and zero eigenvalues, respectively. Consequently an exact stiffness matrix is evaluated by applying the member force-deformation relationships to these displacement functions. In order to illustrate the accuracy and the practical usefulness of this study, the numerical solutions are compared with results obtained from the thin-walled beam and shell elements.

Improvement of Subspace Iteration Method with Shift (쉬프트를 갖는 부분공간 반복법의 개선)

  • Jung, Hyung Jo;Kim, Man Cheol;Park, Sun Kyu;Lee, In Won
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.473-486
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    • 1998
  • A numerically stable technique to remove the limitation in choosing a shift in the subspace iteration method with shift is presented. A major difficulty of the subspace iteration method with shift is that because of singularity problem, a shift close to an eigenvalue can not be used, resulting in slower convergence. This study solves the above singularity problem using side conditions without sacrifice of convergence. The method is always nonsingular even if a shift is an eigenvalue itself. This is one of the significant characteristics of the proposed method. The nonsingularity is proved analytically. The convergence of the proposed method is at least equal to that of the subspace iteration method with shift, and the operation counts of above two methods are almost the same when a large number of eigenpairs are required. To show the effectiveness of the proposed method, two numerical examples are considered.

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A Study on the Effect of Controllers in Small Signal Stability of Power Systems (전력계통의 미소신호안정도에 미치는 제어기의 영향에 관한 연구)

  • 권세혁;김덕영
    • Journal of Energy Engineering
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    • v.5 no.1
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    • pp.72-79
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    • 1996
  • The effect of controllers-Exciter, Power System Stabilizer, and Static Var Compensator-in one machine infinite bus system is investigated in this paper. The structure of generator state matrix with controllers is represented, while the Static Var Compensator is installed in generator terminal bus. Eigen-value analysis is performed and the effects of controllers to the dominant eigenvalue in one machine infinite bus system are represented by first order eigenvalue sensitivity coefficients while the operating conditions of the system are varied. Optimization of controller parameters using first order eigenvalue sensitivity coefficients is performed by the Simplex Method. It is proved that exciter control is the most efficient method to improve stability of the system and the effect of Static Var Compensator is small, in the case of one machine infinite bus system.

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Comparison of Natural Frequency of Domestic and Foreign Long-spaned Structure (국내외 장스팬 구조물의 고유진동수 비교)

  • Yoon, Sung-Won;Park, Yong
    • Journal of Korean Association for Spatial Structures
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    • v.9 no.1
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    • pp.79-85
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    • 2009
  • As a recent spatial structure have become long-spaned and light, stiffness of out-plane is reduced significantly. Due to this, it is necessary to calculate natural frequency correctly to check if structure is flexible or vortex-induced vibration is occurred. However, formula of frequency in domestic and foreign spatial structure has not been performed deeply. In this study, approximated formula obtained by eigenvalue analysis of seven domestic spatial structure is compared with two suggestions based on Japanese standard and formula by measurement of 28 spatial structure in Japan. Natural frequency of roof has a tendency to be reduced as the span of structure increases. Natural frequency of domestic structure is generally less than that of analysis and measurement of spatial structure in Japan. Therefore, it is confirm that roof of domestic spatial structure is relatively rather flexible than that of Japan.

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