• 제목/요약/키워드: Lanczos Algorithm

검색결과 27건 처리시간 0.027초

수정된 Lanczos 벡터의 중첩을 통한 구조물의 동적해석 (Dynamic Analysis of Structures by Superposition of Modified Lanczos Vectors)

  • Kim, Byoung-Wan;Jung, Hyung-Jo;Kim, Woon-Hak;Lee, In-Won
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.11-18
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    • 2003
  • This paper proposes modified Lanczos vector superposition method for efficient dynamic analysis of structures. Proposed method is based on the modified Lanczos algorithm that generates stiffness-orthonormal Lanczos vectors. Proposed method has better computing efficiency than the conventional Lanczos vector superposition method in the analysis of multi-input-loaded structures. The efficiency of proposed method is verified through numerical examples. Comparison with other vector superposition methods is also presented through numerical examples.

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Reducing Decoding Complexity by Improving Motion Field Using Bicubic and Lanczos Interpolation Techniques in Wyner-Ziv Video Coding

  • Widyantara, I Made O.;Wirawan, Wirawan;Hendrantoro, Gamantyo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제6권9호
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    • pp.2351-2369
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    • 2012
  • This paper describes interpolation method of motion field in the Wyner-Ziv video coding (WZVC) based on Expectation-Maximization (EM) algorithm. In the EM algorithm, the estimated motion field distribution is calculated on a block-by-block basis. Each pixel in the block shares similar probability distribution, producing an undesired blocking artefact on the pixel-based motion field. The proposed interpolation techniques are Bicubic and Lanczos which successively use 16 and 32 neighborhood probability distributions of block-based motion field for one pixel in k-by-k block on pixel-based motion field. EM-based WZVC codec updates the estimated probability distribution on block-based motion field, and interpolates it to pixel resolution. This is required to generate higher-quality soft side information (SI) such that the decoding algorithm is able to make syndrome estimation more quickly. Our experiments showed that the proposed interpolation methods have the capability to reduce EM-based WZVC decoding complexity with small increment of bit rate.

LANCZOS 알고리즘에 기초한 비선형 트랜지언트 열전달 해석 (Nonlinear Transient Heat Transfer Analysis Based on LANCZOS Coordinates)

  • 임창균;장승필
    • 한국강구조학회 논문집
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    • 제10권2호통권35호
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    • pp.317-326
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    • 1998
  • 강섬유보강 적층복합구조물에서 온도의 변화는 구조물의 응답에 중요한 영향을 미칠수 있다 온도의 급작스런 변화는 재료의 강도와 성질을 현저히 저하시켜 구조물의 대변형, 좌굴, 고응력상태를 유발하는 중요한 인자가 된다. 본 연구에서는 등분포로 재하된 온도하중에 의한 적층복합판의 온도좌굴에 관한 해석을 수행하였다. 전단변형의 효과를 정확히 고려하기위해 5개의 변수로 구성된 고차전단변형이론을 적용하였다. 적층판의 배열각도, 적층판의 수, 폭-두께비의 변화, 형상비의 변화에 따른 임계좌굴온도를 구하여 1차전단변형이론에 의한 결과와 고전적이론에 의한 결과와 비교분석하였다.

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A Study on the Efficient m-step Parallel Generalization

  • Kim, Sun-Kyung
    • 한국정보기술응용학회:학술대회논문집
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    • 한국정보기술응용학회 2005년도 6th 2005 International Conference on Computers, Communications and System
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    • pp.13-16
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    • 2005
  • It would be desirable to have methods for specific problems, which have low communication costs compared to the computation costs, and in specific applications, algorithms need to be developed and mapped onto parallel computer architectures. Main memory access for shared memory system or global communication in message passing system deteriorate the computation speed. In this paper, it is found that the m-step generalization of the block Lanczos method enhances parallel properties by forming m simultaneous search direction vector blocks. QR factorization, which lowers the speed on parallel computers, is not necessary in the m-step block Lanczos method. The m-step method has the minimized synchronization points, which resulted in the minimized global communications compared to the standard methods.

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NUMERICAL IMPLEMENTATION OF THE QMR ALGORITHM BY USING DISCRETE STOCHASTIC ARITHMETIC

  • TOUTOUNIAN FAEZEH;KHOJASTEH SALKUYEH DAVOD;ASADI BAHRAM
    • Journal of applied mathematics & informatics
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    • 제17권1_2_3호
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    • pp.457-473
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    • 2005
  • In each step of the quasi-minimal residual (QMR) method which uses a look-ahead variant of the nonsymmetric Lanczos process to generate basis vectors for the Krylov subspaces induced by A, it is necessary to decide whether to construct the Lanczos vectors $v_{n+l}\;and\;w{n+l}$ as regular or inner vectors. For a regular step it is necessary that $D_k\;=\;W^{T}_{k}V_{k}$ is nonsingular. Therefore, in the floating-point arithmetic, the smallest singular value of matrix $D_k$, ${\sigma}_min(D_k)$, is computed and an inner step is performed if $\sigma_{min}(D_k)<{\epsilon}$, where $\epsilon$ is a suitably chosen tolerance. In practice it is absolutely impossible to choose correctly the value of the tolerance $\epsilon$. The subject of this paper is to show how discrete stochastic arithmetic remedies the problem of this tolerance, as well as the problem of the other tolerances which are needed in the other checks of the QMR method with the estimation of the accuracy of some intermediate results. Numerical examples are used to show the good numerical properties.

연료전지용 터보압축기 회전축의 동특성 해석에 관한 연구 (A Study on the Dynamic Analysis in the Shaft of Turbo-Blower for Fuel Cell)

  • 김홍건;나석찬;김성철;강영우;양균의;이희관;최문창
    • 한국공작기계학회논문집
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    • 제13권1호
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    • pp.81-87
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    • 2004
  • A 3-D FEM (Finite Element Method) analysis of the turbo-blower shaft attached to a fuel cell was performed using Lanczos algorithm. The modal analysis was analyzed in order to investigate natural frequency and maximum displacement for 10 times. It was found that the first mode of natural frequency is 109.1Hz with the maximum displacement of 0.16mm while the tenth mode of natural frequency is 2464Hz with the maximum displacement of 0.25mm. Consequently, the results of modal analysis of the turbo-blower for a fuel cell system show good dynamic responses.

영상 정규화 및 얼굴인식 알고리즘에 따른 거리별 얼굴인식 성능 분석 (Performance Analysis of Face Recognition by Distance according to Image Normalization and Face Recognition Algorithm)

  • 문해민;반성범
    • 정보보호학회논문지
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    • 제23권4호
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    • pp.737-742
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    • 2013
  • 최근 감시시스템은 휴먼인식 기술을 활용하여 스스로 판단하고 대처할 수 있는 지능형으로 발전하고 있다. 기존 얼굴인식 기술은 근거리에서 인식성능이 우수하지만 원거리로 갈수록 인식률이 떨어진다. 본 논문에서는 원거리 휴먼인식을 위해 거리별 얼굴영상을 학습으로 사용한 얼굴인식에서 보간법 및 얼굴인식 알고리즘에 따른 얼굴인식률의 성능을 분석한다. 영상 정규화에는 최근접 이웃, 양선형, 양3차회선, Lanczos3 보간법을 사용하고, 얼굴인식 알고리즘은 PCA와 LDA를 사용한다. 실험결과, 영상 정규화로 양선형 보간법과 얼굴인식 알고리즘으로 LDA를 사용했을 때 우수한 성능을 나타냄을 확인하였다.

소셜 데이터의 주된 감성분석에 대한 연구 (Study on Principal Sentiment Analysis of Social Data)

  • 장필식
    • 한국컴퓨터정보학회논문지
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    • 제19권12호
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    • pp.49-56
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    • 2014
  • 본 논문에서는 대용량의 문서, 인터넷 댓글, 소셜 데이터, 메시지 텍스트 등으로부터 표준, 일상적 언어, 및 은어(隱語), 비속어, 약어, 이모티콘 등을 감성 분석함으로써, 복합적인 감성 중 근간이 되는 주 감성들을 측정하고 평가하는 방법을 제안한다. 제안된 방법론은 IRLBA(Implicitly Restarted Lanczos Bidiagonalization Algorithm)을 활용하여 규모가 큰 희소행렬에 대한 주성분분석을 실시하며, 데이터 취합, 메시지 분석, 감성 평가, 감성 분석 및 통합 그리고 결과물 시각화 모듈로 구성된다. 본 연구를 통해 제안된 방법론은 소셜 데이터의 감성분석의 정확도를 향상시키고 감성분석의 활용범위를 확장시키는데 있어 도움을 줄 수 있을 것으로 기대된다.

A Versatile Medical Image Enhancement Algorithm Based on Wavelet Transform

  • Sharma, Renu;Jain, Madhu
    • Journal of Information Processing Systems
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    • 제17권6호
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    • pp.1170-1178
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    • 2021
  • This paper proposed a versatile algorithm based on a dual-tree complex wavelet transform for intensifying the visual aspect of medical images. First, the decomposition of the input image into a high sub-band and low-sub-band image is done. Further, to improve the resolution of the resulting image, the high sub-band image is interpolated using Lanczos interpolation. Also, contrast enhancement is performed by singular value decomposition (SVD). Finally, the image reconstruction is achieved by using an inverse wavelet transform. Then, the Gaussian filter will improve the visual quality of the image. We have collected images from the hospital and the internet for quantitative and qualitative analysis. These images act as a reference image for comparing the effectiveness of the proposed algorithm with the existing state-of-the-art. We have divided the proposed algorithm into several stages: preprocessing, contrast enhancement, resolution enhancement, and visual quality enhancement. Both analyses show the proposed algorithm's effectiveness compared to existing methods.

Comparative study on dynamic analyses of non-classically damped linear systems

  • Greco, Annalisa;Santini, Adolfo
    • Structural Engineering and Mechanics
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    • 제14권6호
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    • pp.679-698
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    • 2002
  • In this paper some techniques for the dynamic analysis of non-classically damped linear systems are reviewed and compared. All these methods are based on a transformation of the governing equations using a basis of complex or real vectors. Complex and real vector bases are presented and compared. The complex vector basis is represented by the eigenvectors of the complex eigenproblem obtained considering the non-classical damping matrix of the system. The real vector basis is a set of Ritz vectors derived either as the undamped normal modes of vibration of the system, or by the load dependent vector algorithm (Lanczos vectors). In this latter case the vector basis includes the static correction concept. The rate of convergence of these bases, with reference to a parametric structural system subjected to a fixed spatial distribution of forces, is evaluated. To this aim two error norms are considered, the first based on the spatial distribution of the load and the second on the shear force at the base due to impulsive loading. It is shown that both error norms point out that the rate of convergence is strongly influenced by the spatial distribution of the applied forces.