• Title/Summary/Keyword: Cubic spline method

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The Characteristics of Current Distribution on a Spiral Scatterer (나선형 산란체의 전류분포 특성)

  • 남창호;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.11 no.4
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    • pp.241-250
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    • 1986
  • Current distributions are the basis of analyzing and designing the antenna. In this paper, a method of deriving the current distribution of a spiral shaped thin wire scattere is proposed when plane wave is incident on it. The calculated results are also shown for severla spiral sizes and incidence angles selected. For numerical calculation, the method of point matching is used with a cubic B-spline function as a basis function.

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Direct Thrust Control of Permanent Magnet Type Linear Synchronous Motor by using Digital Signal Processor (DSP를 이용한 영구 자석형 선형 동기전동기의 직접 추력 제어)

  • U, Gyeong-Il;Kim, Deok-Jin;Gwon, Byeong-Il
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.8
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    • pp.514-521
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    • 2000
  • This paper presents a direct thrust control scheme for permanent magnet linear synchronous motor(PMLSM) by using digital signal processor(DSP). And a simulation method for the direct thrust control of a permanent magnet linear synchronous motor using the equivalent circuit is presented. The detent force that was obtained by cubic spline method is considered in the simulation. Thrust correction coefficient is utilized to estimate actual thrust on the direct thrust control, which considers the longitudinal end effect due to the finite core length of the permanent magnet linear synchronous motor. The motor self inductance, the initial flux linkage by the permanent magnet is calculated in advance by the finite element analysis, and then the direct control simulation is carried out. As the results, thrust, current and speed are shwon.

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Automatic Surface Generation for Extrusion Die of Arbitrarily Shaped Section using B-spline Surfaces and Scalar Field Theory (B-스플라인 곡면과 스칼라장 이론을 이용한 임의의 형상의 압출금형 곡면의 자동생성)

  • 임종훈;김광혁;유동진;양동열
    • Transactions of Materials Processing
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    • v.13 no.1
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    • pp.33-38
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    • 2004
  • A new approach for the design of extrusion die surface of arbitrarily shaped section is presented. In order to generate the extrusion die surface. an automatic surface construction method based on B-spline surface and scalar field theory is proposed. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u- and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections. To verify the validity and effectiveness of the proposed method, automatic surface generation is carried out for extrusion dies of arbitrarily shaped sections.

Semi-automatic method for surface smoothing

  • Lee, Chong-Sun;Lee, Chong-Won;Park, Se-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.249-254
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    • 1987
  • This paper presents a new method for generating smooth free-form surface by local correction. B-spline surface is used for its convenience of local correction, and the direction of surface correction is fixed to the average-surface-normal direction. The surface to be corrected is approximated into a uniform cubic B-spline surface. Then, the smoothness (curvature arrows, iso-parametric lines) of the approximated surface is displayed with B-spline control points. When a control point near the region that needs correction is selected, a new point 1 mm higher than the original control point in the direction of the average surface normal is displayed. And the surface is corrected by giving the amount of control point movement interactively. Since the direction of correction is given by the program and the amount of correction is selected by the user, the method is called semiautomatic. sufficiently smooth surface can be obtained by this method. Examples are given to illustrate the method.

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Estimation of Uncertain Moving Object Location Data

  • Ahn Yoon-Ae;Lee Do-Yeol;Hwang Ho-Young
    • Journal of the Korea Computer Industry Society
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    • v.6 no.3
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    • pp.495-508
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    • 2005
  • Moving objects are spatiotemporal data that change their location or shape continuously over time. Their location coordinates are periodically measured and stored i3l the application systems. The linear function is mainly used to estimate the location information that is not in the system at the query time point. However, a new method is needed to improve uncertainties of the location representation, because the location estimation by linear function induces the estimation error. This paper proposes an application method of the cubic spline interpolation in order to reduce deviation of the location estimation by linear function. First, we define location information of the moving object on the two-dimensional space. Next, we apply the cubic spline interpolation to location estimation of the proposed data model and describe algorithm of the estimation operation. Finally, the precision of this estimation operation model is experimented. The experimentation comes out more accurate results than the method by linear function.

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Evaluation of Teeth and Supporting Structures on Digital Radiograms using Interpolation Methods (보간법을 이용한 디지털 방사선영상에서 치아 및 지지구조물의 ROC평가)

  • Koh Kwang-Joon;Chang Kee-Wan
    • Journal of Korean Academy of Oral and Maxillofacial Radiology
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    • v.29 no.1
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    • pp.65-85
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    • 1999
  • Objectives: To determine the effect of interpolation functions when processing the digital periapical images. Material and Methods: The digital images were obtained by Digora and CDR system on the dry skull and human subject. 3 oral radiologists evaluated the 3 portions of each processed image using 7 interpolation methods, and ROC curves were obtained by trapezoidal methods. Results: The heighest Az value(0.96) was obtained with cubic spline method and the lowest Az value(0.03) was obtained with facet model method in Digora system. The heighest Az value (0.79) was obtained with gray segment expansion method and the lowest Az value(0.07) was obtained with facet model method in CDR system. There was significant difference of Az value in original image between Digora and CDR system at a=0.05 level. There were significant differences of Az values between Digora and CDR images with cubic spline method, facet model method, linear interpolation method and non-linear interpolation method at α=0.1 level.

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Modeling of Structure of the Specialized Processor on the Basis Ryabenko's Splines for Signal Processing

  • Zaynidinov, Hakimjon;Nishonboev, Golibjon
    • Journal of information and communication convergence engineering
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    • v.9 no.4
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    • pp.424-427
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    • 2011
  • The paper is devoted to problem of spline approximation. A new method of nodes location for curves and surfaces computer construction by means of B-splines, of Reyabenko's splines and results of simulink-modeling is presented. The advantages of this paper is that we comprise the basic spline with classical polynomials both on accuracy, as well as degree of paralleling calculations are also show's.

체공형 부양선(Aerostat) 개념설계

  • Lee, Yung-Gyo;Kim, Dong-Min;Yeom, Chan-Hong
    • Aerospace Engineering and Technology
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    • v.4 no.1
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    • pp.31-38
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    • 2005
  • Conceptual design of an Aerostat was completed. Configuration was determined based on wind tunnel test results of aeostat hulls to have longitudinal static stability. Hull surface area and volume were obtained by using of Cubic spline method for given configuration and length. Final length of a hull was determined by iteration process. Cable tension and payload were estimated for conceptual design. A parametric study was performed for various weight and misson altitude. As results, a 30m class aerostat was designed and described.

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Mathcad program as a useful tool for the teaching and studying the sport biomechanics (운동역학의 교육과 연구용 도구로서 Mathcad의 유용성)

  • Sung, Rak-Joon
    • Korean Journal of Applied Biomechanics
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    • v.14 no.3
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    • pp.301-311
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    • 2004
  • The purpose of this study was to verify the usefulness of the Mathcad program as a tool for the studying and teaching the sport biomechanics. A projectile motion was analyzed because it is the one of the most popular motion in sports activities. A 3 dimensional CG data for the high jump bar clear phase was used to calculate the initial velocity vector of the CG. Linear regression function and other functions such as cubic spline and derivative of Mathcad were used to calculate this vector. Finally, the approach angle to the bar and peak jump height was calculated. Programming in Mathcad was relatively easy compare to traditional computer language such as Fortran and C, because of the unique documentation method of Mathcad. Additionally the 2 and 3 dimensional graph function was very easy and useful to describe the mechanical data. If the use of Mathcad program is more popular in the field of sport biomechanics, it could greatly contribute to overcome the limit of research caused by the lack of proper programming ability.

A New Dynamic Prediction Algorithm for Highway Traffic Rate (고속도로 통행량 예측을 위한 새로운 동적 알고리즘)

  • Lee, Gwangyeon;Park, Kisoeb
    • Journal of the Korea Society for Simulation
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    • v.29 no.3
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    • pp.41-48
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    • 2020
  • In this paper, a dynamic prediction algorithm using the cumulative distribution function for traffic volume is presented as a new method for predicting highway traffic rate more accurately, where an approximation function of the cumulative distribution function is obtained through numerical methods such as natural cubic spline interpolation and Levenberg-Marquardt method. This algorithm is a new structure of random number generation algorithm using the cumulative distribution function used in financial mathematics to be suitable for predicting traffic flow. It can be confirmed that if the highway traffic rate is simulated with this algorithm, the result is very similar to the actual traffic volume. Therefore, this algorithm is a new one that can be used in a variety of areas that require traffic forecasting as well as highways.