• Title/Summary/Keyword: cubic spline

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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.

Analysis of Current Distribution on Cylinders with End Cap (끝단면에 ?을 갖는 원통주의 전류분포 해석)

  • 이강호;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.11
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    • pp.879-885
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    • 1990
  • An intergral equation is derived for surface current distribution of cylinders with end cap using quasistatic approximation method. The moment method is applied for numerical solution. Point matching method using Cubic B-spline function as a basis function, delta function as a weighting function is applied for moment method. And also, the influencial relation in accordance with structural variation is analized in case of spheroidal end up cap type and flat type.

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Eulerian-Lagrangian Modeling of One-Dimensional Dispersion Equation in Nonuniform Flow (부등류조건에서 종확산방정식의 Eulerian-Lagrangian 모형)

  • 김대근;서일원
    • Journal of Environmental Science International
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    • v.11 no.9
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    • pp.907-914
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    • 2002
  • Various Eulerian-Lagrangian models for the one-dimensional longitudinal dispersion equation in nonuniform flow were studied comparatively. In the models studied, the transport equation was decoupled into two component parts by the operator-splitting approach; one part is governing advection and the other is governing dispersion. The advection equation has been solved by using the method of characteristics following fluid particles along the characteristic line and the results were interpolated onto an Eulerian grid on which the dispersion equation was solved by Crank-Nicholson type finite difference method. In the solution of the advection equation, Lagrange fifth, cubic spline, Hermite third and fifth interpolating polynomials were tested by numerical experiment and theoretical error analysis. Among these, Hermite interpolating polynomials are generally superior to Lagrange and cubic spline interpolating polynomials in reducing both dissipation and dispersion errors.

Analysis of Kidney and Liver from Ultrasonography Images by Using Fuzzy Stretching and Monotone Cubic Spline (Fuzzy Stretching 기법과 Monotone Cubic Spline 보간법을 이용한 초음파 영상에서 간과 신장 영역 분석)

  • Lee, Dae-Woo;Lee, Min-Jung;Hong, Dong-Jin;Kim, Kwang Baek
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2015.05a
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    • pp.148-151
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    • 2015
  • 초음파 검사를 이용한 지방간의 등급을 분류하는 진단 결과는 검사자의 주관적 판단으로 시행하므로 검사자 간의 불일치가 발생하여 초음파 검사의 진단 결과에 영향을 미칠 수 있다. 따라서 본 논문에서는 환자와 검사자에게 지방간 등급을 보다 정확하게 진단하기 위한 전단계로서 초음파 영상에서 간과 신장 영역을 추출하는 방법을 제안한다. 제안된 방법을 다양한 초음파 영상에 적용한 결과, 간과 신장 영역이 비교적 정확히 추출되는 것을 확인할 수 있었다. 따라서 제안된 방법이 초음파 영상에서 지방간을 분석하는데 적용할 수 있다.

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A Parametric Study of Displacement Measurements Using Digital Image Correlation Method

  • Ha, Kuen-Dong
    • Journal of Mechanical Science and Technology
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    • v.14 no.5
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    • pp.518-529
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    • 2000
  • A detailed and thorough parametric study of digital image correlation method is presented. A theoretical background and development of the method were introduced and the effects of various parameters on the determination of displacement outputs from the raw original and deformed image information were examined. Use of the normalized correlation coefficient, the use of 20 to 40 pixels for a searching window side, 6 variables searching, bi-cubic spline sub pixel interpolations and the use of coarse-fine search are some of the key choices among the results of parametric studies. The displacement outputs can be further processed with two dimensional curve fitting for the data noise reduction as well as displacement gradient calculation.

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Performance Analysis of Channel Estimation Schemes for MF Band Digital Radio Broadcasting System (MF 대역 디지털 라디오 방송 시스템을 위한 채널 추정 기법의 성능 분석)

  • 송정훈;김기남;노재성;조성준
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.2
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    • pp.217-222
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    • 2004
  • In this paper, the efficient channel estimation schemes for DRM system(AM band digital radio broadcasting standard) are investigated. In frequency domain, by means of the linear interpolation, the second order interpolation, cubic spline interpolation, and time domain interpolation, the channel impulse response is estimated respectively to compensate the attenuation due to the fading. And in time domain, the frequency channel impulse response is averaged to reduce the attenuation due to the AWGN. By the simulation, the performance of MSE, BER and the complexity of calculation is compared and analyzed for each interpolation scheme.

Precision Calibration of Gyroscopes for Improving Dead-Reckoning Accuracy in Mobile Robots (이동로봇의 추측항법 정확성을 개선하기 위한 자이로스코프의 정확도 교정)

  • Ko Jae-Pyung;Yun Jae-Mu;Lee Jang-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.5
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    • pp.463-470
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    • 2005
  • This paper describes a method aimed at improving dead-reckoning accuracy with gyroscopes in mobile robots. The method is a precision calibration procedure for gyroscopes, which effectively reduces the ill effects of nonlinearity of the scale-factor and temperature dependency. This paper also describes the methods of gyro data collection fur all ambient temperature$(-40^{\circ}C{\~}+80^{\circ}C)$ using cubic spline interpolation and defining the error function. The sensor used was a vibrating gyroscope called the EWTS82NA21, which is low lost and commonly used in car navigation system, made by Panasonic. This angular rate sensor utilizes Coriolis force generated by a vibrating tuning fork. The paper also provides experimental results to check the performance and the effectiveness of the proposed method.

Some Properties of the Fuzzy Rule Table for Polynomials of two Variables

  • Ryou, Jeong-A;Chung, Sei-Young;Moon, Byung-Soo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.86-89
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    • 2000
  • In this paper, we consider a fuzzy system representation for polynomials of two variables. The representation we use is an exact transformation of the corresponding cubic spline interpolation function. We examine some of the properties of their fuzzy rule tables md prove that the rule table is symmetric or antisymmetric depending on whether the polynomial is symmetric or antisymmetric. A few examples are included to verify our proof. These results not only provide some insights on properties of the cubic spline interpolation coefficients but also provide some help in setting up fuzzy rule tables for functions of two variables.

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Extraction of lipoma Using ART2 from Ultrasonic Images (초음파 영상에서 ART2를 이용한 지방종 추출)

  • Lim, Hyo-Bin;Kim, Kwang Baek
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2015.10a
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    • pp.507-509
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    • 2015
  • 본 논문에서는 지방종 초음파 영상에서 지방종을 자동적으로 추출하는 방법을 제안한다. 제안된 방법은 초음파 영상에 Monotone Cubic Spline 보간법을 이용하여 ROI영역을 추출한다. 추출된 ROI 영역에 Fuzzy Stretching 기법을 적용하여 명암 대비를 강조한 후, ART2 알고리즘과 8방향 윤곽선 추적 알고리즘을 적용하여 잡음을 제거한 후에 지방종의 후보 영역을 추출한다. 추출된 지방종의 후보 영역 중에서 형태학적으로 타원 형태를 띠거나 가장 큰 후보 영역의 정보를 이용하여 Labeling 기법을 적용하여 최종적으로 지방종 영역을 추출한다. 제안된 방법을 지방종 초음파 영상에 실험한 결과, 지방종 영역이 비교적 정확히 추출되는 것을 실험을 통하여 확인하였다.

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Investigation of Strain Measurements using Digital Image Correlation with a Finite Element Method

  • Zhao, Jian;Zhao, Dong
    • Journal of the Optical Society of Korea
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    • v.17 no.5
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    • pp.399-404
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    • 2013
  • This article proposes a digital image correlation (DIC) strain measurement method based on a finite element (FE) algorithm. A two-step digital image correlation is presented. In the first step, the gradient-based subpixels technique is used to search the displacements of a region of interest of the specimen, and then the strain fields are obtained by utilizing the finite element method in the second step. Both simulation and experiment processing, including tensile strain deformation, show that the proposed method can achieve nearly the same accuracy as the cubic spline interpolation method in most cases and higher accuracy in some cases, such as the simulations of uniaxial tension with and without noise. The results show that it also has a good noise-robustness. Finally, this method is used in the uniaxial tensile testing for Dahurian Larch wood specimens with or without a hole, and the obtained strain values are close to the results which were obtained from the strain gauge and the cubic spline interpolation method.