• Title/Summary/Keyword: interpolations

Search Result 92, Processing Time 0.026 seconds

Adaptive p-finite element method for wind engineering

  • Selvam, R. Panneer;Qu, Zu-Qing
    • Wind and Structures
    • /
    • v.5 no.2_3_4
    • /
    • pp.301-316
    • /
    • 2002
  • An important goal of computational wind engineering is to impact the design process with simulations of flow around buildings and bridges. One challenging aspect of this goal is to solve the Navier-Stokes (NS) equations accurately. For the unsteady computations, an adaptive finite element technique may reduce the computer time and storage. The preliminary application of a p-version as well as an h-version adaptive technique to computational wind engineering has been reported in previous paper. The details on the implementation of p-adaptive technique will be discussed in this paper. In this technique, two posteriori error estimations, which are based on the velocity and vorticity, are first presented. Then, the polynomial order of the interpolation function is increased continuously element by element until the estimated error is less than the accepted. The second through sixth orders of hierarchical functions are used as the interpolation polynomials. Unequal order interpolations are used for velocity and pressure. Using the flow around a circular cylinder with Reynolds number of 1000 the two error estimators are compared. The result show that the estimated error based on the velocity is lower than that based on the vorticity.

A Study on the Optimization of color in Digital Printing (디지털 인쇄에 있어서 컬러의 최적화에 관한 연구)

  • Kim, Jae-Hae;Lee, Sung-Hyung;Cho, Ga-Ram;Koo, Chul-Whoi
    • Journal of the Korean Graphic Arts Communication Society
    • /
    • v.26 no.1
    • /
    • pp.51-64
    • /
    • 2008
  • In this paper, an experiment was done where the input(scanner, digital still camera) and monitor(CRT, LCD) device used the linear multiple regression and the GOG (Gain-Offset-Gamma) characterization model to perform a color transformation. Also to color conversion method of the digital printer it used the LUT(Look Up Table), 3dimension linear interpolation and a tetrahedron interpolation method. The results are as follows. From color reappearance of digital printing case of monitor, the XYZ which it converts in linear multiple regression of input device it multiplied the inverse matrix, and then it applies the inverse GOG model and after color converting the patch of the result most which showed color difference below 5 at monitor RGB value. Also, The XYZ which is transmitted from the case input device which is a printer it makes at LAB value to convert an extreme, when the LAB value which is converted calculating the CMY with the LUT and tetrahedral interpolations the color conversion which considers the black quantity was more accurate.

  • PDF

On Some Distributions Generated by Riff-Shuffle Sampling

  • Son M.S.;Hamdy H.I.
    • International Journal of Contents
    • /
    • v.2 no.2
    • /
    • pp.17-24
    • /
    • 2006
  • The work presented in this paper is divided into two parts. The first part presents finite urn problems which generate truncated negative binomial random variables. Some combinatorial identities that arose from the negative binomial sampling and truncated negative binomial sampling are established. These identities are constructed and serve important roles when we deal with these distributions and their characteristics. Other important results including cumulants and moments of the distributions are given in somewhat simple forms. Second, the distributions of the maximum of two chi-square variables and the distributions of the maximum correlated F-variables are then derived within the negative binomial sampling scheme. Although multinomial theory applied to order statistics and standard transformation techniques can be used to derive these distributions, the negative binomial sampling approach provides more information and deeper insight regarding the nature of the relationship between the sampling vehicle and the probability distributions of these functions of chi-square variables. We also provide an algorithm to compute the percentage points of these distributions. We supplement our findings with exact simple computational methods where no interpolations are involved.

  • PDF

The Role of Negative Binomial Sampling In Determining the Distribution of Minimum Chi-Square

  • Hamdy H.I.;Bentil Daniel E.;Son M.S.
    • International Journal of Contents
    • /
    • v.3 no.1
    • /
    • pp.1-8
    • /
    • 2007
  • The distributions of the minimum correlated F-variable arises in many applied statistical problems including simultaneous analysis of variance (SANOVA), equality of variance, selection and ranking populations, and reliability analysis. In this paper, negative binomial sampling technique is employed to derive the distributions of the minimum of chi-square variables and hence the distributions of the minimum correlated F-variables. The work presented in this paper is divided in two parts. The first part is devoted to develop some combinatorial identities arised from the negative binomial sampling. These identities are constructed and justified to serve important purpose, when we deal with these distributions or their characteristics. Other important results including cumulants and moments of these distributions are also given in somewhat simple forms. Second, the distributions of minimum, chisquare variable and hence the distribution of the minimum correlated F-variables are then derived within the negative binomial sampling framework. Although, multinomial theory applied to order statistics and standard transformation techniques can be used to derive these distributions, the negative binomial sampling approach provides more information regarding the nature of the relationship between the sampling vehicle and the probability distributions of these functions of chi-square variables. We also provide an algorithm to compute the percentage points of the distributions. The computation methods we adopted are exact and no interpolations are involved.

Parametric Study on the Pressure Continuity Residual for the Stabilization of Pressure in Incompressible Materials (비압축성 물체의 압력해 안정화를 위한 압력연속여분치의 매개변수 연구)

  • 이상호;김상효
    • Computational Structural Engineering
    • /
    • v.8 no.4
    • /
    • pp.189-198
    • /
    • 1995
  • The conventional finite element formulations for incompressible materials show pressure oscillations or pressure modes in four-node quadrilateral elements of commonly used displacement and pressure interpolations. The criterion for the stability in the pressure solution is the so-called Babugka-Brezzi stability condition, and the above elements do not satisfy this condition. In this study, a pressure continuity residual based on the pressure discontinuity at element interfaces is used to study the stabilization of pressure solutions in bilinear displacement-constant pressure four-node quadrilateral elements. This pressure residual is implemented in Q1P0 element derived from the conventional incompressible elasticity. The pressure solutions can be stable with the pressure residual though they exhibit sensitivity to the stabilization parameters. Parametric study for the solution stabilization is also discussed.

  • PDF

VLSI Architecture of Digital Image Scaler Combining Linear Interpolation and Cubic Convolution Interpolation (선형 보간법과 3차회선 보간법을 결합한 디지털 영상 스케일러의 VLSI 구조)

  • Moon, Hae Min;Pan, Sung Bum
    • Journal of the Institute of Electronics and Information Engineers
    • /
    • v.51 no.3
    • /
    • pp.112-118
    • /
    • 2014
  • As higher quality of image is required for digital image scaling, longer processing time is required. Therefore the technology that can make higher quality image quickly is needed. We propose the double linear-cubic convolution interpolation which creates the high quality image with low complexity and hardware resources. The proposed interpolation methods which are made up of four one-dimensional linear interpolations and one one-dimensional cubic convolution perform linear-cubic convolution interpolation in horizontal and vertical direction. When compared in aspects of peak signal-to-noise ratio(PSNR), performance time and amount of hardware resources, the proposed interpolation provided better PSNR, low complexity and less hardware resources than bicubic convolution interpolation.

Contour error analysis and PID controller design for machining center (머시닝센터를 위한 윤곽오차 분석 및 PID 제어기 설계)

  • Na, Il-Ju;Choi, Jong-Ho;Jang, Tae-Jeong;Choi, Byeong-Kap;Song, O-Seok
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.3 no.1
    • /
    • pp.32-39
    • /
    • 1997
  • One of the most important performance criteria in tuning the gain of position loop controller for CNC machining center is the contour error. In this papre we analyze contour error in the linear and circular interpolations for the axis-matched and mismatched cases. To have small contour errors, it is necessary to set the P gain for each axis to be same. And the D gain should be much smaller than the P gain. Baded on the analysis in the frequency domain, we propose a gain tuning method for the P and PD controllers. We show that the PD controller is better than the P controller. The effectiveness of this method is demonstrated by experiments.

  • PDF

COMPUTATION OF FLOW AROUND A SHIP USING A SURFACE INTERPOLATED FROM STATION LINES (선체 횡단면 곡선 보간에 의한 표면 생성 및 유동 계산)

  • Kim, Hyun-Sik;Shin, Sangmook
    • Journal of computational fluids engineering
    • /
    • v.20 no.4
    • /
    • pp.21-27
    • /
    • 2015
  • Flow field around the KRISO 3600TEU container ship is computed using a surface generated based on interpolations of station lines, which are given in a body plan of the ship, without using any CAD program. An interpolation method is suggested based on inscribed circles to generate curves between two neighboring station lines. The interpolated surface is saved in a STL format to use the snappyHexMesh utility of the openfoam. Computed resistance of the ship is compared with experimental and other computational results and the effects of the interpolation of neighboring station lines on the computed resistance are investigated. The suggested method is applied to calculate the flow field around a submarine with appendages. The surface triangulations for the hull and the appendages are generated without consideration of each other, then those surface triangulations are simply combined to provide a grid generator with the body boundary. The junctures of the hull and the appendages are identified automatically during the grid generation procedure. Tip vortex is captured, which travels downstream from the tip of the appendages.

A Study on the Elimination of ECG Artifact in Polysomnographic EEG and EOG using AR model (AR 모델을 이용한 수면중 뇌파 및 안전도 신호에서의 심전도 잡음 제거에 관한 연구)

  • Park, H.J.;Han, J.M.;Jeong, D.U.;Park, K.S.
    • Proceedings of the KOSOMBE Conference
    • /
    • v.1997 no.11
    • /
    • pp.459-463
    • /
    • 1997
  • In this paper, we present the elimination of ECG artifact from the polysomnographic EEG and EOG. The idea of this method is that the ECG synchronized EEG segment is detected from ECG and regard samples of that segment a missing signal. After this, we used two interpolation methods to recover the missing segment. One is the Lagrange Polynomial Interpolation Method and the other is the Least Square Error AR Interpolation method. We tested those methods by applying to simulated signals. AR methods works well enough to reject the artifact about 10% of the main artifact level. We practically applied to real EEG and EOG signals. We also developed the algorithm to detect whether the artifact level is high or not. If the artifact level is high, then the interpolations are applied.

  • PDF

Numerical Quadrature Techniques for Inverse Fourier Transform in Two-Dimensional Resistivity Modeling (2차원 전기비저항 모델링에서 후리에역변환의 수치구적법)

  • Kim, Hee Joon
    • Economic and Environmental Geology
    • /
    • v.25 no.1
    • /
    • pp.73-77
    • /
    • 1992
  • This paper compares numerical quadrature techniques for computing an inverse Fourier transform integral in two-dimensional resistivity modeling. The quadrature techniques using exponential and cubic spline interpolations are examined for the case of a homogeneous earth model. In both methods the integral over the interval from 0 to ${\lambda}_{min}$, where ${\lambda}_{min}$, is the minimum sampling spatial wavenumber, is calculated by approximating Fourier transformed potentials to a logarithmic function. This scheme greatly reduces the inverse Fourier transform error associated with the logarithmic discontinuity at ${\lambda}=0$. Numrical results show that, if the sampling intervals are adequate, the cubic spline interpolation method is more accurate than the exponential interpolation method.

  • PDF