• 제목/요약/키워드: Order Statistics

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고차 통계 초점 척도를 이용한 3D 모델 복원 알고리즘 (3D Model Reconstruction Algorithm Using a Focus Measure Based on Higher Order Statistics)

  • 이주현;윤현주;한규필
    • 한국멀티미디어학회논문지
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    • 제16권1호
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    • pp.11-18
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    • 2013
  • 본 논문에서는 정확한 깊이를 추출하기 위해 고차 통계기반 초점 척도를 이용한 SFF(shape from focus) 알고리즘을 제시한다. 기존의 SFF기반 3차원 깊이 복원 기법들은 초점 척도로 SML(sum of modified Laplacian)을 사용하기 때문에, 성능이 영상의 특성에 크게 의존하여 초점이 정밀하거나 질감이 풍부한 영상에서만 효율적이다. 그러므로, 본 논문에서는 비교적 질감과 초점이 빈약한 영상에서도 초점 값을 추출할 수 있도록 고차 통계(HOS:higher order statistics)를 이용한 알고리즘을 제안한다. 이 초점 척도에 의해 초점 영역 맵이 생성되고 국부적으로 최적의 초점 값을 갖는 화소를 추출하기 위해 영역개선, 세선화, 모서리 검출과정이 순서적으로 적용된다. 최종적으로 추출된 점에 대해서 Delaunay 삼각화를 사용하여 3차원 모델정보를 생성한다.

MIXED TYPE SECOND-ORDER DUALITY WITH SUPPORT FUNCTION

  • Husain, I.;Ahmed, A.;Masoodi, Mashoob
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1381-1395
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    • 2009
  • Mixed type second order dual to the non-differentiable problem containing support functions is formulated and duality theorems are proved under generalized second order convexity conditions. It is pointed out that the mixed type duality results already reported in the literature are the special cases of our results.

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A Note on the Covariance Matrix of Order Statistics of Standard normal Observations

  • Lee, Hak-Myung
    • Communications for Statistical Applications and Methods
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    • 제7권1호
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    • pp.285-290
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    • 2000
  • We noted a property of a stationary distribution on the matrix C, which is the covariance matrix of order statistics of standard normal distribution That is the sup norm of th powers of C is ee' divided by its dimension. The matrix C can be taken as a transition probability matrix in an acyclic Markov chain.

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Dual Sliding Statistics Switching Median Filter for the Removal of Low Level Random-Valued Impulse Noise

  • Suid, Mohd Helmi;Jusof, M F.M.;Ahmad, Mohd Ashraf
    • Journal of Electrical Engineering and Technology
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    • 제13권3호
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    • pp.1383-1391
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    • 2018
  • A new nonlinear filtering algorithm for effectively denoising images corrupted by the random-valued impulse noise, called dual sliding statistics switching median (DSSSM) filter is presented in this paper. The proposed DSSSM filter is made up of two subunits; i.e. Impulse noise detection and noise filtering. Initially, the impulse noise detection stage of DSSSM algorithm begins by processing the statistics of a localized detection window in sorted order and non-sorted order, simultaneously. Next, the median of absolute difference (MAD) obtained from both sorted statistics and non-sorted statistics will be further processed in order to classify any possible noise pixels. Subsequently, the filtering stage will replace the detected noise pixels with the estimated median value of the surrounding pixels. In addition, fuzzy based local information is used in the filtering stage to help the filter preserves the edges and details. Extensive simulations results conducted on gray scale images indicate that the DSSSM filter performs significantly better than a number of well-known impulse noise filters existing in literature in terms of noise suppression and detail preservation; with as much as 30% impulse noise corruption rate. Finally, this DSSSM filter is algorithmically simple and suitable to be implemented for electronic imaging products.

Effects of Order Misspecification on Unit Root Tests

  • Shin, Dong-Wan;Lee, Yoon-Dong
    • Journal of the Korean Statistical Society
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    • 제26권2호
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    • pp.171-180
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    • 1997
  • Effects of order misspecification on statistical behavior of unit root tests are studied. We derive the limiting distributions of the Dickey-Fuller test statistics whose numerators are of the form c .int. W dW + .kappa. where W is a standard Brownian motion on [0, 1] and c is a real number. The term .kappa. is a major consequence of order misspecification and its explict expression is derived. Based on an analysis of .kappa., effects of order misspecification on unit root tests for AR(2), ARMA(1, 1), and AR(3) models are investigated.

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A New Formula to Predict the Exact Detection Probability of a Generalized Order Statistics CFAR Detector for a Correlated Rayleigh Target

  • Kim, Chang-Joo
    • ETRI Journal
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    • 제16권2호
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    • pp.15-25
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    • 1994
  • In this paper we present a new formula which can predict the exact detection probability of a generalized order statistics (GOS) constant false alarm rate (DFAR) detector for a partially correlated Rayleigh target model (0 < $ \rho$< 1) in a closed form, where $\rho$ is the correlation coefficient between returned pulses. By simply substituting a set of specific coefficient into the derived formula, one can obtain the detection probability of any kind of CFAR detector. Detectors may include the order statistics CFAR detector, the censored mean level detector, and the trimmed mean CFAR detector, but are not necessarily restricted to them. The numerical result for the first order Markov correlation model as applied to some of the detectors shows that as $\rho$ increases from zero to one, higher signal-to-noise ratio is required to achieve the same detection probability.

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Second-order statistics of natural frequencies of smart laminated composite plates with random material properties

  • Singh, B.N.;Umrao, Atul;Shukla, K.K.;Vyas, N.
    • Smart Structures and Systems
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    • 제4권1호
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    • pp.19-34
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    • 2008
  • Nowadays developments in the field of laminated composite structures with piezoelectric have attracted significant attention of researchers due to their wide range of applications in engineering such as sensors, actuators, vibration suppression, shape control, noise attenuation and precision positioning. Due to large number of parameters associated with its manufacturing and fabrication, composite structures with piezoelectric display a considerable amount of uncertainty in their material properties. The present work investigates the effect of the uncertainty on the free vibration response of piezoelectric laminated composite plate. The lamina material properties have been modeled as independent random variables for accurate prediction of the system behavior. System equations have been derived using higher order shear deformation theory. A finite element method in conjunction with Monte Carlo simulation is employed to obtain the secondorder statistics of the natural frequencies. Typical results are presented for all edges simply supported piezoelectric laminated composite plates to show the influence of scattering in material properties on the second order statistics of the natural frequencies. The results have been compared with those available in literature.

Run and Go Algorithm for Blind Equalization (자력복구 적응 채널등화기를 위한 Run and Go 알고리즘)

  • 정원주
    • 전기전자학회논문지
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    • 제10권1호
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    • pp.62-68
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    • 2006
  • 이 논문은 high order statistics 에 기반을 둔 자력복구 알고리듬과 판정-LMS 를 조합하는 자력복구 적응 채널등화기를 제안한다. 저 신뢰도 신호에 대하여 적응을 멈추는 기존의 "Stop-and-Go" 알고리듬과는 달리 제안된 알고리듬은 저 신뢰도 신호에 대하여 자력복구 알고리듬 적응을 이용하기에 "Run-and-Go"라고 명명하였으며 판정-LMS의 최소 MSE 성능과 자력복구 알고리듬의 신호 획득능력의 시너지 효과를 가진다. 제안된 알고리듬은 신뢰도 구간을 신호의 질에 따라 자동설정 함으로 수렴 속도와 신호 획득 능력을 각각 개선한다.

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Plotting positions and approximating first two moments of order statistics for Gumbel distribution: estimating quantiles of wind speed

  • Hong, H.P.;Li, S.H.
    • Wind and Structures
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    • 제19권4호
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    • pp.371-387
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    • 2014
  • Probability plotting positions are popular and used as the basis for distribution fitting and for inspecting the quality of the fit because of its simplicity. The plotting positions that lead to excellent approximation to the mean of the order statistics should be used if the objective of the fitting is to estimate quantiles. Since the mean depends on the sample size and is not amenable for simple to use closed form solution, many plotting positions have been presented in the literature, including a new plotting position that is derived based on the weighted least-squares method. In this study, the accuracy of using the new plotting position to fit the Gumbel distribution for estimating quantiles is assessed. Also, plotting positions derived by fitting the mean of the order statistics for all ranks is proposed, and an approximation to the covariance of the order statistics for the Gumbel (and Weibull) variate is given. Relative bias and root-mean-square-error of the estimated quantiles by using the proposed plotting position are shown. The use of the proposed plotting position to estimate the quantiles of annual maximum wind speed is illustrated.