• 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.

• 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.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.1 no.1
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• pp.75-82
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• 1997

An algorithm for computing the cubic spline interpolation coefficients for polynomials is presented in this paper. The matrix equation involved is solved analytically so that numerical inversion of the coefficient matrix is not required. For $f(t)=t^m$, a set of constants along with the degree of polynomial m are used to compute the coefficients so that they satisfy the interpolation constraints but not necessarily the derivative constraints. Then, another matrix equation is solved analytically to take care of the derivative constraints. The results are combined linearly to obtain the unique solution of the original matrix equation. This algorithm is tested and verified numerically for various examples.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2014.05a
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• pp.73-75
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• 2014

본 논문에서는 원본 초음파 영상에서 스케일을 측정한 후, 영상의 확대 비율을 분석하여 충수염 객체의 크기에 대한 범위를 설정한다. 제안된 방법은 초음파 영상에서 ROI 영역을 추출한 후, 사다리꼴 타입의 소속 함수를 이용한 Fuzzy 이진화와 8방향 윤곽선 추적 기법을 적용하여 잡음을 제거한 후에 근막을 추출한다. 추출된 복부 근육의 근막 하단 경계선을 Cubic Spline 보간법을 이용하여 근막의 하단 영역을 추출한다. 초음파 영상의 근막을 기준으로 근막 영역을 제거한 후, SOM(Self-Organizing Map) 알고리즘을 이용하여 충수염의 후보 영역을 추출한다. 추출된 충수염의 후보 영역에 8방향 윤곽선 추적기법을 적용하여 충수염을 추출한다. 제안된 방법을 초음파 영상에 적용하여 실험한 결과, 기존의 충수염 추출 방법보다 충수염 영역이 비교적 정확히 추출되고 충수염의 크기를 측정할 수 있는 것을 실험을 통하여 확인하였다.

• Journal of Information Processing Systems
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• v.15 no.1
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• pp.47-54
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• 2019

This study is concerned with the mechanism and structure of an optical microscope and an automatic multi-focus algorithm for automatically selecting sharp images from multiple foci of a cell. To obtain precise cell images quickly, a z-axis actuator with a resolution of $0.1{\mu}m$ was designed to control an optical microscope Moreover, a lighting control system was constructed to select the color and brightness of light that best suit the object being viewed. Cell images are captured by the instrument and the sharpness of each image is determined using Gaussian and Laplacian filters. Next, cubic spline interpolation and peak detection algorithms are applied to automatically find the most vivid points among multiple images of a single object. A cancer cell imaging experiment using propidium iodide staining confirmed that a sharp multipoint image can be obtained using this microscope. The proposed system is expected to save time and effort required to extract suitable cell images and increase the convenience of cell analysis.

• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.603-618
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• 2022

In this paper, a numerical solution of the generalized diffusion equation with a delay has been obtained by a numerical technique based on the Galerkin finite element method by applying the cubic B-spline basis functions. The time discretization process is carried out using the forward Euler method. The numerical scheme is required to preserve the delay-independent asymptotic stability with an additional restriction on time and spatial step sizes. Both the theoretical and computational rates of convergence of the numerical method have been examined and found to be in agreement. As it can be observed from the numerical results given in tables and graphs, the proposed method approximates the exact solution very well. The accuracy of the numerical scheme is confirmed by computing L₂ and L_∞ error norms.

• Journal of Navigation and Port Research
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• v.26 no.4
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• pp.473-479
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• 2002

The estimation of the volume of a pit excavation is often required in many surveying, soil mechanics, highway applications and transportation engineering situations. The calculation of earthwork plays a major role in plan or design of many civil engineering projects such as seashore reclamation, and thus it has become very important to improve the accuracy of earthwork calculation. In this paper the spot height method, proposed formulas(A, B, C), and chen and Line method are compared with the volumes of the pits in these examples. And we proposed an algorithm of finding a terrain surface with the free boundary conditions and both direction spline method drawback, i.e., the modeling curves form peak points at the joints. To avoid this drawback, the cubic spline polynomial was chosen as the methematical model of the new method. From the characteristics of the cubic spline polynomial, the modeling curve of the new method was smooth and matched the ground profile well. As a result of this study, algorithm of proposed three methods to estimate pit excavation volume provided a better accuracy than spot height, chamber, chen and Lin method. And the mathematical model mentioned makes is thought to give a maximum acccuracy in estimating the volume of a pit excavation.

• Journal of Ocean Engineering and Technology
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• v.16 no.4
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• pp.19-24
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• 2002

항만공사같은 대규모의 매립공사에서 토공작업은 총공사비의 상당한 비중을 차지하므로 경제적인 시공을 위하여 절.성토량은 정확하게 계산되어야 한다. 따라서 본 연구는 주어진 3차원 표고데이터를 지나는 스플라인 곡면을 구하는 알고리즘을 제시함으로써 좀더 정확한 토공량 계산식의 결정을 목표로 한다. 스플라인에 대한 흥미로운 수학적 결과는 무척 많지만 본 연구에서는 스플라인 곡면을 기술하고 또, 그것을 이용하여 토공량 계산을 위한 알고리즘개발을 목표로 하기 때문에 알고리즘과 프로그래밍에 필요한 수학적 내용을 기술하며 그 수치적 계산결과는 Maple 프로그램을 이용하였다. 그리고 정확도를 비교하기 위하여 기존의 방법인 선형점고법, Chamber법, Chen과 Lin의 이론을 컴퓨터프로그램하여 본 연구에서 제시된 방법과 정확도를 비교, 분석한다. 아울러 각 이론식의 결과에 대한 보다 정확한 검사를 위하여 x, y 함수식을 이용한 실험지형을 인위적으로 만들었으며 그 때의 값을 기준값으로 하였다. 따라서 실험수치지형에 대한 기준값이 절대값에 가까우므로 각 토공량식들의 오차규명을 보다 명확하고 확실하게 비교할 수 있도록 하였다.

• Journal of applied mathematics & informatics
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• v.7 no.2
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• pp.517-525
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• 2000

A constrained rational cubic spline with linear denominator was constructed in [1]. In the present paper, the sufficient condition for convex interpolation and some properties in error estimation are given.

• Journal of the Korean Statistical Society
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• v.30 no.4
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• pp.645-660
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• 2001

In this paper we propose a goodness-of-fit test statistic for testing the (null) parametric model versus the (alternative) nonparametric model. Most of existing nonparametric test statistics are based on the residuals which are obtained by regressing the data to a parametric model. Our test is based on the bootstrap estimator of the probability that the smoothing parameter estimator is infinite when fitting residuals to cubic smoothing spline. Power performance of this test is investigated and is compared with many other tests. Illustrative examples based on real data sets are given.