• 제목/요약/키워드: Curve fitting method

검색결과 418건 처리시간 0.023초

특징점들의 적응적 선택에 근거한 B-spline 곡선근사 (B-spline Curve Approximation Based on Adaptive Selection of Dominant Points)

  • 이주행;박형준
    • 한국CDE학회논문집
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    • 제11권1호
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    • pp.1-10
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    • 2006
  • This paper addresses B-spline curve approximation of a set of ordered points to a specified toterance. The important issue in this problem is to reduce the number of control points while keeping the desired accuracy in the resulting B-spline curve. In this paper we propose a new method for error-bounded B-spline curve approximation based on adaptive selection of dominant points. The method first selects from the given points initial dominant points that govern the overall shape of the point set. It then computes a knot vector using the dominant points and performs B-spline curve fitting to all the given points. If the fitted B-spline curve cannot approximate the points within the tolerance, the method selects more points as dominant points and repeats the curve fitting process. The knots are determined in each step by averaging the parameters of the dominant points. The resulting curve is a piecewise B-spline curve of order (degree+1) p with $C^{(p-2)}$ continuity at each knot. The shape index of a point set is introduced to facilitate the dominant point selection during the iterative curve fitting process. Compared with previous methods for error-bounded B-spline curve approximation, the proposed method requires much less control points to approximate the given point set with the desired shape fidelity. Some experimental results demonstrate its usefulness and quality.

Precision Determination of Anisotropy Constant $K_1$from Magnetization Curve of Partially Aligned Unaxial Anisotropy System

  • Kim, Yoon-Bae;Kim, Hyoung-Tae
    • Journal of Magnetics
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    • 제6권4호
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    • pp.142-144
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    • 2001
  • A method to deduce the rotational magnetization curve from experimental magnetization of partially aligned uniaxial anisotropy system has been investigated. The curve obtained by this process has been evaluated quire close to the theoretical magnetization curve compared to that obtained by linear extrapolation from high field data. This new approach offers better accuracy for the determination of magnetic anisotropy by fitting a calculated magnetization curve to the obversed one.

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A graph-based method for fitting planar B-spline curves with intersections

  • Bon, Pengbo;Luo, Gongning;Wang, Kuanquan
    • Journal of Computational Design and Engineering
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    • 제3권1호
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    • pp.14-23
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    • 2016
  • The problem of fitting B-spline curves to planar point clouds is studied in this paper. A novel method is proposed to deal with the most challenging case where multiple intersecting curves or curves with self-intersection are necessary for shape representation. A method based on Delauney Triangulation of data points is developed to identify connected components which is also capable of removing outliers. A skeleton representation is utilized to represent the topological structure which is further used to create a weighted graph for deciding the merging of curve segments. Different to existing approaches which utilize local shape information near intersections, our method considers shape characteristics of curve segments in a larger scope and is thus capable of giving more satisfactory results. By fitting each group of data points with a B-spline curve, we solve the problems of curve structure reconstruction from point clouds, as well as the vectorization of simple line drawing images by drawing lines reconstruction.

비선형 최소제곱법을 이용한 점탄성 감쇠를 갖는 원통셀의 실험진동해석 (Experimental Vibration Analysis for Viscoelastically Damped Circular Cylindrical Shell Using Nonlinear Least Square Method)

  • 민천홍;박한일;배수룡
    • 한국해양공학회지
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    • 제22권3호
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    • pp.41-46
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    • 2008
  • It is a recent trend for advanced ships and submarines to incorporate composite structures with viscoelastically damping material. Much research has been done on curve-fitting techniquesto identify vibration characteristic parameters such as natural frequencies, modal damping ratios, and mode shapes of the composite structure. In this study, an advanced technique for accurately determining vibration characteristic of a circular cylindrical shell-attached viscoelastically damping material is used, based on a multi-degree of freedom (MDOF) curve-fitting method. First, an initial value is obtained by using a linear least square method. Next, using the initial value, the exact modal parameters of the composite circular cylindrical shell are obtained by using a nonlinear least square method. Results show computation time is greatly decreased and accurate results are obtained by the MDOF curve-fitting method.

Cone Pressuremeter를 이용한 점성토의 전단 강도 산정 (Determination of Undrained Shear Strength In Clay from Cone Pressuremeter Test)

  • 이장덕
    • 한국지반공학회논문집
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    • 제20권8호
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    • pp.49-58
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    • 2004
  • 콘프레셔미터는 피에조콘 시험과 프레셔미터 시험을 동시에 수행할 수 있는 현장시험기로서 본 연구에서는 국내 점토지반에서 수행한 시험결과를 해석적으로 분석하였다. 콘프레셔미터 결과에 대한 이론적인 해는 흙이 비선형 거동을 하는 경우와 전단변형 중 체적변화가 발생하지 않는 경우에 대하여 해석적인 해가 존재한다. 이러한 해석적인 해로부터 콘프레셔미터의 결과중 하중 재하구간과 제하구간에 대해 Curve Fitting 방법을 사용한 콘프레셔미터 결과의 해석 방법을 제안하였다. 20개소의 현장에서 수행한 콘프레셔미터 결과 중 지반교란의 영향을 적게 받는 제하구간에 대하여 Curve Fitting 방법을 적용하여 점성토의 비배수 전단특성을 구하였다. 이렇게 구한 지반의 비배수 전단강도와 현장 Vane, 일축압축, 삼축압축 시험결과로부터 구한 지반의 비배수 전단강도를 서로 비교하여 콘프레셔미터 시험 결과로부터 Curve Fitting 방법을 통한 점성토 지반의 전단강도 특성파악의 적정성에 대해 평가하였다.

영역분할과 2차원 커브피팅 함수들을 이용하는 직선형 5공 압력프로브의 성능 평가 (The Performance Assessment of a Straight-Type Five-Hole Pressure Probe Using a Zone Partition and Two-Dimensional Curve-Fitting Functions)

  • 김장권;오석형
    • 동력기계공학회지
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    • 제18권1호
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    • pp.22-31
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    • 2014
  • This paper introduced the new calibration algorithm of a straight-type five-hole pressure probe necessary for calculating three-dimensional flow velocity components. The new velocity data reduction method using both a commercial two-dimensional curve-fitting program and the zone partition method of a calibration map was firstly introduced in this study. This new calibration method can be applied up to the wide flow angle of ${\pm}80^{\circ}$ despite of using a five-hole pressure probe because this data reduction method showed a comparatively good performance in calculating yaw and pitch angles from the calibration map.

주파수 전달함수를 이용한 신 포괄 곡선맞춤법 (New Global Curve-Fitting Method Using Frequency Response Function)

  • 민천홍;박한일;배수룡;전재진
    • 한국해양공학회지
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    • 제23권6호
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    • pp.82-86
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    • 2009
  • Several damping materials have been employed to reduce the vibration of structures. While it is important to estimate the damping matrix when analyzing damped composite structures using the finite element method (FEM), at present, there is no FEM program that can correctly estimate the damping matrix. In this paper, a new global curve-fitting method is proposed for identifying the system parameters of non-proportional damping structures using a frequency response function. An experimental test for a cantilever beam attached damping material was carried out to verify the performance of the method proposed in this study.

Estimation of viscous and Coulomb damping from free-vibration data by a least-squares curve-fitting analysis

  • Slemp, Wesley C.H.;Hallauer, William L. Jr.;Kapania, Rakesh K.
    • Smart Structures and Systems
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    • 제4권3호
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    • pp.279-290
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    • 2008
  • The modeling and parameter estimation of a damped one-degree-of-freedom mass-spring system is examined. This paper presents a method for estimating the system parameters (damping coefficients and natural frequency) from measured free-vibration motion of a system that is modeled to include both subcritical viscous damping and kinetic Coulomb friction. The method applies a commercially available least-squares curve-fitting software function to fit the known solution of the equations of motion to the measured response. The method was tested through numerical simulation, and it was applied to experimental data collected from a laboratory mass-spring apparatus. The mass of this apparatus translates on linear bearings, which are the primary source of light inherent damping. Results indicate that the curve-fitting method is effective and accurate for both perfect and noisy measurements from a lightly damped mass-spring system.

B-spline Curve Fitting 과 심플렉스법을 적용한 자동차 록업클러치 피스톤 형상최적설계에 관한 연구 (Study of Shape Optimization for Automobile Lock-up Clutch Piston Design with B-spline Curve Fitting and Simplex Method)

  • 김철;현석정;손종호;신세현
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1334-1339
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    • 2003
  • An efficient method is developed for the shape optimization of 2-D structures. The sequential linear programming is used for minimization problems. Selected set of master nodes are employed as design variables and assigned to move towards the normal direction. After adapting the nodes on the design boundary, the B-spline curves and mesh smoothing schemes are used to maintain the finite element in good quality. Finally, a numerical implementation of optimum design of an automobile torque converter piston subjected to pressure and centrifugal loads is presented. The results shows additional weight up to 13% may be saved after the shape optimization.

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