• Title/Summary/Keyword: Interpolation Accuracy

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A Study on Measurement of Dynamic Accuracy Using Grid Encoder in NC Machine Tools (Grid Encoder를 이용한 NC공작기계 동적정밀도 측정에 관한 연구)

  • 이찬호;이방희;김성청
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.378-381
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    • 2003
  • Efficient development of method on a performance evaluation for machine tools has been regarded as the most important work for accuracy and quality enhancement to every user and manufacturer. A evaluation method of accuracy for machine tools has been studied recently according to the rapid increase of interest in precision machine tools. To this point of view, the circular interpolation test of machine tools is recognized as the most useful method to distinguish a dynamic accuracy of NC machine tools by ISO and ANSI/ASME, etc. In this paper, we have studied and developed the form measurement system with grid encoder to analyse the final accuracy of NC machine tools. we have analyzed the servo system error and geometric error of NC machine tools through measuring a dynamic error signal by this system. and then we verified the experimental result and enhanced the reliability by means of comparing the characteristics of the developed system with the kinematic ball-bar system.

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Design of a Channel Estimator for the LTE System Based on the Multirate Signal Processing (다속신호처리 기법을 이용한 LTE 시스템 채널 추정기법 설계)

  • Yoo, Kyung-Yul
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.11
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    • pp.2108-2113
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    • 2010
  • The Long Term Evolution (LTE) system is based on the Orthogonal Frequency Division Multiplexing (OFDM) and relies its channel estimation on the lattice-type pilot samples in the multipath fading channel environment. The estimation of the channel frequency response (CFR) makes use of the least squares estimate (LSE) for each pilot samples, followed by an interpolation both in time- and in frequency-domain to fill up the channel estimates for subcarriers corresponding to data samples. Any interpolation scheme could be adopted for this purpose. Depending on the requirements of the target system, we may choose a simple linear interpolation or a sophisticated one. For any choice of an interpolation scheme, these is a trade-off between estimation accuracy and numerical cost. For those wireless communication systems based on the OFDM and the preamble-type pilot structure, the DFT-based channel estimation and its variants have been successfully. Yet, it may not be suitable for the lattice-type pilot structure, since the pilot samples are not sufficient to provide an accurate estimate and it is known to be sensitive to the location as well as the length of the time-domain window. In this paper, we propose a simple interpolated based on the upsampling mechanism in the multirate signal processing. The proposed method provides an excellent alternative to the DFT-based methods in terms of numerical cost and accuracy. The performance of the proposed technique is verified on a multipath environment suggested on a 3GPP LTE specification.

A local point interpolation method for stress analysis of two-dimensional solids

  • Liu, G.R.;Gu, Y.T.
    • Structural Engineering and Mechanics
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    • v.11 no.2
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    • pp.221-236
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    • 2001
  • A local point interpolation method (LPIM) is presented for the stress analysis of two-dimensional solids. A local weak form is developed using the weighted residual method locally in two-dimensional solids. The polynomial interpolation, which is based only on a group of arbitrarily distributed nodes, is used to obtain shape functions. The LPIM equations are derived, based on the local weak form and point interpolation. Since the shape functions possess the Kronecker delta function property, the essential boundary condition can be implemented with ease as in the conventional finite element method (FEM). The presented LPIM method is a truly meshless method, as it does not need any element or mesh for both field interpolation and background integration. The implementation procedure is as simple as strong form formulation methods. The LPIM has been coded in FORTRAN. The validity and efficiency of the present LPIM formulation are demonstrated through example problems. It is found that the present LPIM is very easy to implement, and very robust for obtaining displacements and stresses of desired accuracy in solids.

A Study on Wave Transformation Analysis using Higher-Order Finite Element (고차유한요소의 파랑변형해석에의 적용에 관한 소고)

  • Jung, Tae-Hwa;Lee, Jong-In;Kim, Young-Taek;Ryu, Yong-Uk
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.2
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    • pp.108-116
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    • 2009
  • The present study introduces a Legendre interpolation function which is capable of analyzing wave transformation effectively in a finite element method. A Lagrangian interpolation function has been mostly used for a finite element method with a higher-order interpolation function. Although this function has an advantage of giving an accurate result with less number of elements, simulation time increases. Calculation time can be reduced by mass lumping, whereas the accuracy of solution is lowered. In this study, we introduce a modified Lagrangian interpolation function, Legendre cardinal interpolation, which can reduce simulation time with keeping up favorable accuracy. Through various numerical simulations using a Boussinesq equations model, the superiority of the Legendre cardinal interpolation function to a Lagrangian interpolation function was shown.

A Petrov-Galerkin Natural Element Method Securing the Numerical Integration Accuracy

  • Cho Jin-Rae;Lee Hong-Woo
    • Journal of Mechanical Science and Technology
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    • v.20 no.1
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    • pp.94-109
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    • 2006
  • An improved meshfree method called the Petrov-Galerkin natural element (PG-NE) method is introduced in order to secure the numerical integration accuracy. As in the Bubnov-Galerkin natural element (BG-NE) method, we use Laplace interpolation function for the trial basis function and Delaunay triangles to define a regular integration background mesh. But, unlike the BG-NE method, the test basis function is differently chosen, based on the Petrov-Galerkin concept, such that its support coincides exactly with a regular integration region in background mesh. Illustrative numerical experiments verify that the present method successfully prevents the numerical accuracy deterioration stemming from the numerical integration error.

A Study of Optimal Mesh Interface Region Generation to Improve Spatial and Temporal Accuracy (공간 및 시간 정확도 향상을 위한 최적의 삽간영역 구성에 관한 연구)

  • Cho Kum Won
    • Journal of computational fluids engineering
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    • v.8 no.3
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    • pp.41-49
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    • 2003
  • The spatial accuracy becomes first-order when second-order conservation schemes including the non-conservative interpolation in general Chimera method are used. To ensure the solution accuracy, the discontinuities must be located away from the overlapped regions, and the length of overlapped region also must be proportional to the grid spacing. In this paper, a proposed method, cut-paste algorithm, is used to satisfy above constraints. The cut-paste algorithm can generate the optimal mesh inteface region automatically, To validate the spatial and temporal accuracy due to the non-conservative interpolation, inviscid and viscous problems are tested.

Towards improving finite element solutions automatically with enriched 2D solid elements

  • Lee, Chaemin;Kim, San
    • Structural Engineering and Mechanics
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    • v.76 no.3
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    • pp.379-393
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    • 2020
  • In this paper, we propose an automatic procedure to improve the accuracy of finite element solutions using enriched 2D solid finite elements (4-node quadrilateral and 3-node triangular elements). The enriched elements can improve solution accuracy without mesh refinement by adding cover functions to the displacement interpolation of the standard elements. The enrichment scheme is more effective when used adaptively for areas with insufficient accuracy rather than the entire model. For given meshes, an error for each node is estimated, and then proper degrees of cover functions are applied to the selected nodes. A new error estimation method and cover function selection scheme are devised for the proposed adaptive enrichment scheme. Herein, we demonstrate the proposed enrichment scheme through several 2D problems.

Comparison of Accuracy according to Interpolation for Geotechnical Information using GIS (지형공간정보체계를 이용한 지반정보의 보간 방법 정확도 비교)

  • 이종출;강인준;김희규;노태호
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2004.04a
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    • pp.407-412
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    • 2004
  • As develop of civilization many structure and facilities will constructed forever scientifically and systematically. The prerequisite of those construction have been behaved with plan and investigation of field. When investigation method that ground of distribution and character for many structure are various, many parts of various method have been conducted by the boring method in order to condition, distribution and character for ground. And indirected method of ground investigation data have been interpolated, various methods have been conducted in method of interpolation. Therefore, in this study, we would estimate efficiency that accuracy according to interpolation using the data of ground information by comparable unique density.

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Accuracy of Kriging interpolation method with respect to variogram model (베리오그램 모델에 따른 크리깅 보간법의 정확성)

  • Woo, Kwang-Sung;Shin, Young-Shik;Lee, Hui-Jeong
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.160-165
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    • 2008
  • Kriging interpolation technique has been proposed by Danny Krige of South Africa to find the mineral distribution grade from information of geography and space. It is one of the generally used prediction technique for the mineral distribution grade and underground water level in wide scope also used in computer graphics fields by the ability for the surface regeneration This paper comprises two specific objectives. The first is to examine the applicability of Ordinary Kriging interpolation(OK) to finite element method that is based on variogram modeling in conjunction with different allowable limits of separation distance. The second is to investigate the accuracy according to theoretical variogram such as polynomial, Gauss, and spherical models.

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Edge detection at subpixel accuracy using fuzzy logic (퍼지 논리를 이용한 Subpixel 정확도 Edge 검출)

  • 김영욱;양우석
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.105-108
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    • 1996
  • In this paper, we present an interpolation schema for image resolution enhancement using fuzzy logic. Proposed algorithm can recover both low and high frequency information in image data. In general, interpolation techniques are based on linear operators which are essentially details in the original image. In our fuzzy approach, the operator itself balances the strength of its sharpening and noise suppressing components according to the properties of the input image data. The proposed interpolation algorithm is performed in three step. First logic reasoning is applied to coarsely interpret the high frequency information. These results are combined to obtain the optical output. Using our approach, resolution of the original image can be applied to various kind of image processing topics such as image enhancement, subpixel edge detection, and filtering.

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