• 제목/요약/키워드: spectral operator

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시드 기반 영역확장기법을 이용한 고해상도 위성영상 분할기법 개발 (High Resolution Satellite Image Segmentation Algorithm Development Using Seed-based region growing)

  • 변영기;김용일
    • 한국측량학회지
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    • 제28권4호
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    • pp.421-430
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    • 2010
  • 영상분할은 관심대상이 되는 물체의 영역을 추출하기 위한 객체기반 영상분류의 전처리과정으로서 원격탐사 영상분석에서 그 중요성 날로 커지고 있다. 본 연구에서는 개선된 SRG(Seeded Region Growing) 기법과 영역병합과정을 이용하여 고해상도 영상분할을 위한 새로운 방법을 제안한다. 이를 위해 우선 QuickBird 융합영상에서 추출된 다중분광 에지정보를 이용하여 초기 시드포인트를 자동으로 추출하였다. 추출된 시드포인트에 영상의 기하학적인 정보와 분광정보를 반영할 수 있는 개선된 SRG 기법을 적용하여 초기 영상 분할을 수행하였다. 최종적으로 앞선 초기분할 결과 향상을 위해 분할된 영역의 평균분광정보를 활용하여 영역병합을 수행하여 최종분할결과를 도출하였다. 제안된 기법의 효율성을 평가하기 위해 무감독 영상분할 평가측정치를 이용하여 정확도 평가를 수행하였다. 실험결과 제안한 기법은 고해상도 영상분할에 유용하게 적용될 수 있으리라 판단된다.

System operator가 다단계재고동적(多段階在庫動的) system 에 미치는 영향(影響)에 관(關)한 연구(硏究) (Effect of System Operator on Dynamic Multi-Stage Inventory Problems)

  • 김만식
    • 대한산업공학회지
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    • 제3권1호
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    • pp.39-47
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    • 1977
  • Most of the current literature on inventory theory has been devoted to the study of single stage models. A class of inventory problems which is of great interest is the multistage inventory system which involves a series and hierarchical sequence of stations. This study analyzes some aspect of the series type and multi-stage inventory system, using the fixed cycle ordering which bas a modificatory control function in the system equations. The objective of this study is to clarify the dynamic behavior of the system. The author has derived the theoretical formulas of variation of ordering quantity and stock fluctuation of each stage due to power spectral density function. Influence of parameters such as, (1) intensity of autocorrelation of demand sequence ($\lambda$), (2) forecasting exponential smoothing factors of each stage (${\alpha}_1,\;{\alpha}_2,\;{\alpha}_3$) and (3) production control factor of the 3rd stage ($\gamma$), as operators of the system on the variation of ordering quantity and stock fluctuation of the system. is also clarified. As a result of this study, the relations between the variation of ordering quantity, stock fluctuation and the parameters of the system, have been found. The principles and the theorical analysis presented here will be applicable to more complex type of discrete control systems in constructing the specific condition of the system to minimize inventory variances.

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A Theoretical Representation of Relaxation Processes in Complex Spin System Using Liouville Space Method

  • Kyunglae Park
    • Bulletin of the Korean Chemical Society
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    • 제14권1호
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    • pp.21-29
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    • 1993
  • For the study of relaxation processes in complex spin system, a general master equation, which can be used to simulate a vast range of pulse experiments, has been formulated using the Liouville representation of quantum mechanics. The state of a nonequilibrium spin system in magnetic field is described by a density vector in Liouville space and the time evolution of the system is followed by the application of a linear master operator to the density vector in this Liouville space. In this master equation the nuclear spin relaxation due to intramolecular dipolar interaction or randomly fluctuating field interaction is explicitly implemented as a relaxation supermatrix for a strong coupled two-spin (1/2) system. The whole dynamic information inherent in the spin system is thus contained in the density vector and the master operator. The radiofrequency pulses are applied in the same space by corresponding unitary rotational supertransformations of the density vector. If the resulting FID is analytically Fourier transformed, it is possible to represent the final nonstationary spectrum using a frequency dependent spectral vector and intensity determining shape vector. The overall algorithm including relaxation interactions is then translated into an ANSIFORTRAN computer program, which can simulate a variety of two dimensional spectra. Furthermore a new strategy is tested by simulation of multiple quantum signals to differentiate the two relaxation interaction types.

Spectral Properties of k-quasi-class A(s, t) Operators

  • Mecheri, Salah;Braha, Naim Latif
    • Kyungpook Mathematical Journal
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    • 제59권3호
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    • pp.415-431
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    • 2019
  • In this paper we introduce a new class of operators which will be called the class of k-quasi-class A(s, t) operators. An operator $T{\in}B(H)$ is said to be k-quasi-class A(s, t) if $$T^{*k}(({\mid}T^*{\mid}^t{\mid}T{\mid}^{2s}{\mid}T^*{\mid}^t)^{\frac{1}{t+s}}-{\mid}T^*{\mid}^{2t})T^k{\geq}0$$, where s > 0, t > 0 and k is a natural number. We show that an algebraically k-quasi-class A(s, t) operator T is polaroid, has Bishop's property ${\beta}$ and we prove that Weyl type theorems for k-quasi-class A(s, t) operators. In particular, we prove that if $T^*$ is algebraically k-quasi-class A(s, t), then the generalized a-Weyl's theorem holds for T. Using these results we show that $T^*$ satisfies generalized the Weyl's theorem if and only if T satisfies the generalized Weyl's theorem if and only if T satisfies Weyl's theorem. We also examine the hyperinvariant subspace problem for k-quasi-class A(s, t) operators.

The random structural response due to a turbulent boundary layer excitation

  • De Rosa, S.;Franco, F.;Romano, G.;Scaramuzzino, F.
    • Wind and Structures
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    • 제6권6호
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    • pp.437-450
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    • 2003
  • In this paper, the structural random response due to the turbulent boundary layer excitation is investigated. Using the mode shapes and natural frequencies of an undamped structural operator, a fully analytical model has been assembled. The auto and cross-spectral densities of kinematic quantities are so determined through exact analytical expansions. In order to reduce the computational costs associated with the needed number of modes, it has been tested an innovative methodology based on a scaling procedure. In fact, by using a reduced spatial domain and defining accordingly an augmented artificial damping, it is possible to get the same energy response with reduced computational costs. The item to be checked was the power spectral density of the displacement response for a flexural simply supported beam; the very simple structure was selected just to highlight the main characteristics of the technique. In principle, it can be applied successfully to any quantity derived from the modal operators. The criterion and the rule of scaling the domain are also presented, investigated and discussed. The obtained results are encouraging and they allow thinking successfully to the definition of procedure that could represent a bridge between modal and energy methods.

On the spectral rigidity of almost isospectral manifolds

  • Pak, Hong-Kyung
    • 대한수학회보
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    • 제29권2호
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    • pp.237-243
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    • 1992
  • Let (M, g, J) be a closed Kahler manifold of complex dimension m > 1. We denote by Spec(M,g) the spectrum of the real Laplace-Beltrami operator. DELTA. acting on functions on M. The following characterization problem on the spectral rigidity of the complex projective space (CP$^{m}$ , g$_{0}$ , J$_{0}$ ) with the standard complex structure J$_{0}$ and the Fubini-Study metric g$_{0}$ has been attacked by many mathematicians : if (M,g,J) and (CP$^{m}$ ,g$_{0}$ ,J$_{0}$ ) are isospectral then is it true that (M,g,J) is holomorphically isometric to (CP$^{m}$ ,g$_{0}$ ,J$_{0}$ )\ulcorner In [BGM], [LB], it is proved that if (M,J) is (CP$^{m}$ , J$_{0}$ ) then the answer to the problem is affirmative. Tanno ([Ta]) has proved that the answer is affirmative if m .leq. 6. Recently, Wu([Wu]) has showed in a more general sense that if (M, g) and (CP$^{m}$ ,g$_{0}$ ) are (-4/m)-isospectral, m .geq. 4, and if the second betti number b$_{2}$(M) is equal to b$_{2}$(CP$^{m}$ ).

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AN INVERSE PROBLEM OF THE THREE-DIMENSIONAL WAVE EQUATION FOR A GENERAL ANNULAR VIBRATING MEMBRANE WITH PIECEWISE SMOOTH BOUNDARY CONDITIONS

  • Zayed, E.M.E.
    • Journal of applied mathematics & informatics
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    • 제12권1_2호
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    • pp.81-105
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    • 2003
  • This paper deals with the very interesting problem about the influence of piecewise smooth boundary conditions on the distribution of the eigenvalues of the negative Laplacian in R$^3$. The asymptotic expansion of the trace of the wave operator (equation omitted) for small |t| and i=√-1, where (equation omitted) are the eigenvalues of the negative Laplacian (equation omitted) in the (x$^1$, x$^2$, x$^3$)-space, is studied for an annular vibrating membrane $\Omega$ in R$^3$together with its smooth inner boundary surface S$_1$and its smooth outer boundary surface S$_2$. In the present paper, a finite number of Dirichlet, Neumann and Robin boundary conditions on the piecewise smooth components (equation omitted)(i = 1,...,m) of S$_1$and on the piecewise smooth components (equation omitted)(i = m +1,...,n) of S$_2$such that S$_1$= (equation omitted) and S$_2$= (equation omitted) are considered. The basic problem is to extract information on the geometry of the annular vibrating membrane $\Omega$ from complete knowledge of its eigenvalues by analysing the asymptotic expansions of the spectral function (equation omitted) for small |t|.

Spectral SFEM analysis of structures with stochastic parameters under stochastic excitation

  • Galal, O.H.;El-Tahan, W.;El-Tawil, M.A.;Mahmoud, A.A.
    • Structural Engineering and Mechanics
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    • 제28권3호
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    • pp.281-294
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    • 2008
  • In this paper, linear elastic isotropic structures under the effects of both stochastic operators and stochastic excitations are studied. The analysis utilizes the spectral stochastic finite elements (SSFEM) with its two main expansions namely; Neumann and Homogeneous Chaos expansions. The random excitation and the random operator fields are assumed to be second order stochastic processes. The formulations are obtained for the system solution of the two dimensional problems of plane strain and plate bending structures under stochastic loading and relevant rigidity using the previously mentioned expansions. Two finite element programs were developed to incorporate such formulations. Two illustrative examples are introduced: the first is a reinforced concrete culvert with stochastic rigidity subjected to a stochastic load where the culvert is modeled as plane strain problem. The second example is a simply supported square reinforced concrete slab subjected to out of plane loading in which the slab flexural rigidity and the applied load are considered stochastic. In each of the two examples, the first two statistical moments of displacement are evaluated using both expansions. The probability density function of the structure response of each problem is obtained using Homogeneous Chaos expansion.

영역기반 가중치 맵을 이용한 멀티스팩트럼 플래시 영상 획득 (Multi-spectral Flash Imaging using Region-based Weight Map)

  • 최봉석;김대철;이철희;하영호
    • 전자공학회논문지
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    • 제50권9호
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    • pp.127-135
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    • 2013
  • 저조도 환경에서 카메라로 영상을 획득하기 위해 일반적으로 가시광 플래시를 사용하거나 장노출 기법을 사용하게 된다. 그러나 가시광 플래시를 사용할 때 플래시 광에 의한 색 왜곡이나 적목 현상, 눈부심에 의한 거부감을 발생시킨다. 또한 장노출을 사용하게 되면 물체의 움직임에 의한 흔들림 현상이 발생하게 된다. 따라서 최근에는 이러한 단점을 극복하고, 저조도 환경에서 고화질의 영상을 획득하기 위하여 멀티 스팩트럴 플래시(Multi-spectral flash image)를 이용하여 영상을 획득하는 방법이 소개되었다. 이 방법은 가시광과 UV/IR스펙트럼의 다섯 채널을 이용하여 가시광영상의 색 정보와 UV/IR 스팩트럼 영상의 세부정보를 최적화하여 영상을 획득하는 방법이다. 하지만, 픽셀 기반의 최적화 과정에 있어 색 왜곡과 다른 잡음을 발생시키게 된다. 따라서 본 논문에서는 이러한 색 왜곡과 잡음을 개선하기 위해 영역 기반의 가중치 맵을 최적화 방법에 적용하여 색 왜곡을 개선하는 알고리즘을 제안한다. 먼저, 영상에 대하여 Canny 에지 검출 방법을 사용하여 영상의 윤곽을 검출하였다. 이를 가중치 맵으로 최적화방법에 적용함으로, 세부 영역에 대하여 UV/IR 플래시 영상의 정보에 가중치를 부여하고, 평탄한 영역에 대하여 가시광 영상의 색 정보를 가중치를 부여하여 색 왜곡을 개선하였다. 제안한 방법을 평가하기 위하여 실험을 통하여 제안한 방법과 이전방법을 비교하였고, 객관적 평가와 주관적 평가 모두 제안한 방법이 우수한 성능을 나타내었다.

회전기계의 이상진동진단 시스템의 개발 (Development of Vibration Diagnosis System for Rotating Machine)

  • 양보석;장우교;김호종
    • 소음진동
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    • 제6권3호
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    • pp.325-332
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    • 1996
  • One of the greatest shortcoming in today's predictive maintenance program is the ability to diagnose the mechanical and electrical problems within the machine when the vibration exceeds preset overall and spectral alarm levels. In this study, auto-diagnosis system is constructed by using A/D converter to convert analog to digital singal. With this device the system analyses input signal to diagonosis machine condition. Many plots, which display machine condition, and input values of every channel are calculated in this system. If the falut is found, the system diagnoses automatically using fuzzy algorithm and trend monitoring. Prediction is also performed by the grey system theory. Operator finds out eh machine operating condition intuitively based on with personal computer CRT in using this system.

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