• Title/Summary/Keyword: Spline interpolation

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NURBS Interpolation Algorithm for CNC Machines (CNC 공작기계의 NURBS 보간 알고리즘에 관한 연구)

  • Hong, Won-Pyo;Yang, Min-Yang
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.12
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    • pp.115-120
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    • 2000
  • Increasing demands on precision machining of free-form surface have necessitated that the tool to move not only position error as small as possible, but also with smoothly varying feedrates. This paper presents new algorithm for high precision 3D(3-dimensional) NURBS(Non-Uniform Rational B-Spline) interpolation in the reference-pulse technique. Based o the minimum path error strategy, interpolation algorithm was designed to follow the NURBS curve. Using this algorithm a real-time 3D NURBS interpolator was developed in software. The algorithm implemented in a PC showed promising results in interpolation error and speed performance. It is expected that this can be applied to the CNC systems for the high precision machining of complex shapes.

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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 성능분석)

  • Song, Jung-Hoon;Kim, Ki-Nam;Roh, Jae-Sung;Cho, Sung-Joon
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2003.11a
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    • pp.599-603
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    • 2003
  • In this paper, the efficient channel estimationschemes 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 analysized for each interpolation scheme.

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NURBS Interpolation Algorithm for CNC Machining with High Speed and High Precision (고속ㆍ고정도 CNC가공을 위한 NURBS 보간 알고리즘)

  • 김민중;송진일;권동수
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.1
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    • pp.192-197
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    • 2000
  • In CNC machining, a free curve is cut into small linear segments using the linear interpolation(G01) method. Therefore, the interpolation error along the curve is not constant due to the changing curvature. This paper presents a NURBS (Non-Uniform Rational B-Spline) interpolation algorithm for machining free curves with high precision and high speed. The proposed NURBS interpolation defines the tool path with NURBS parameters and limits the interpolation error to any desired level by adjusting the feed rate considering the curvature of the shape and sampling time. Both linear and NURBS interpolations are compared to show the validity of the proposed algorithm.

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Numerical Flow Analysis of Ducted Marine Propeller with Pre-Swirl Guidevane (전치 가이드베인을 가지는 수중 덕트 프로펠러 주위의 전산 유동 해석)

  • Yu Hye-Ran;Jung Young-Rae;Park Warn-Gyu
    • Journal of computational fluids engineering
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    • v.9 no.2
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    • pp.62-69
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    • 2004
  • The present work solved 3D incompressible RANS equations on a rotating, multi-blocked grid system to efficiently analyze ducted marine propulsor with the interaction of propeller guidevane and annular duct. To handle the interface boundary between the guidevane and the propeller, a sliding multiblock technique based on the cubic spline interpolation was applied. To validate the present code, a turbine flow was simulated and the time-averaged pressure coefficients were compared with experiment. After the code validation, the flowfield around a ducted marine propeller with pre-swirl guidevane was simulated.

Load Measurement Algorithm for a Vehicle Wheel Dynamometer (자동차 휠 동력계의 하중 검출 신호 처리 방법)

  • Lee, Jinsung;Jeong, Kyuwon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.26 no.4
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    • pp.418-424
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    • 2017
  • A wheel dynamometer was installed between the rim and axle hub to measure the forces and moments applied to a vehicle. The wheel dynamometer was composed of sensing and signal processing components. Because the sensing component contained a complex structure to sense the six components of the forces and moments and the wheel rotated along with the vehicle movement, sophisticated signal processing hardware and a software algorithm were used. The strains and the calibration matrices of the wheel dynamometer along the wheel rotation angle were investigated using FEM. From the analysis, the calibration matrices were simplified using a spline interpolation. Based upon these results, the signal processing component could be effectively designed and the firmware software could be simplified.

Efficient Computation of the Impedance Matrices for Layered Medium Problems Using the Spline-type Divided-difference Interpolation Technique (스플라인형 분할차분 보간법을 이용한 다층구조 문제의 임피던스 행렬의 효율적 계산)

  • 강승택;최재훈
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.10 no.2
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    • pp.257-266
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    • 1999
  • In this paper, a spline-type divided-difference interpolation technique is proposed to efficiently evaluate the impedance matrix elements in the MoM analysis of layered medium problems. This method is combined with the fast computational method of the basis-expanded and tested dyadic Green's functions (expressed in the spectral domain integrals) in a recent literature. For the sake of its validity, the proposed method is applied to analyze the characteristics of a microstrip gap discontinuity, a microstrip filter, and an aperture coupled patch antenna. Numerical results obtained by this approach are in good agreement with those of other approaches.

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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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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.

A Study on an Automatic Multi-Focus System for Cell Observation

  • Park, Jaeyoung;Lee, Sangjoon
    • 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.