• 제목/요약/키워드: Spline Function

검색결과 248건 처리시간 0.025초

Optimum Weight in Spline for Surface Model

  • 손호웅;오석훈;김영경
    • 지구물리
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    • 제8권1호
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    • pp.23-33
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    • 2005
  • The digital surface model (DSM) is used for several purposes in photogrammetry, remote sensing and laser scanned data such as orthoimage production, contours erivation, extraction of height information. Creation of a surface model from point-clouds (3-D sparse points) that can be derived from stereo imagery and range data (e.g. laser scanned data) can be done with several mathematical interpolation models. In this paper, thin-plate-spline (TPS) is used for digital surface modeling. Determination of suitable weight is an important problem in thin-plate function for a surface. The Voronoi algorithm has been proposed as a method for determination of the weight in thin-plate-spline. In this paper, methods has been tested for different surfaces. The results show that thin-plate-spline can be independent of weight.

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B-spline 근사화 기반의 심전도 신호 압축 (ECG signal compression based on B-spline approximation)

  • 류춘하;김태훈;이병국;최병재;박길흠
    • 한국지능시스템학회논문지
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    • 제21권5호
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    • pp.653-659
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    • 2011
  • 심전도 신호는 일반적으로 200Hz 이상의 주파수로 표본화 하므로 장시간의 심전도 신호를 획득할 경우 데이터가 방대해진다. 이러한 신호를 저장 및 전송하기 위해서는 효율적인 신호 압축을 필요로 한다. 본 논문에서는 B-spline 근사화를 이용하여 심전도 신호를 압축하는 방법을 제안한다. B-spline 곡선의 국부적 제어성(local controllability) 특성으로 인하여 원신호를 부분적으로 근사화할 수 있으며, 이를 통하여 방대한 심전도 신호를 압축할 수 있다. 따라서 본 논문에서는 응용수학의 근사이론 및 기하학적 모델링에 널리 사용되고 있는 비균일 B-spline 근사화 기법으로 효율적인 압축 방안을 제시한다. 제안한 알고리즘의 유효성을 확인하기 위해 실제 심전도 임상 데이터인 MIT-BIH 데이터베이스를 이용하여 실험을 수행하며, 그 결과로부터 제안한 기법을 이용한 B-spline 근사화 압축 방법의 효용성을 입증한다.

무인 주행 차량의 하이브리드 경로 생성을 위한 B-spline 곡선의 조정점 선정 알고리즘 (A UGV Hybrid Path Generation Method by using B-spline Curve's Control Point Selection Algorithm)

  • 이희무;김민호;이민철
    • 제어로봇시스템학회논문지
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    • 제20권2호
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    • pp.138-142
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    • 2014
  • This research presents an A* based algorithm which can be applied to Unmanned Ground Vehicle self-navigation in order to make the driving path smoother. Based on the grid map, A* algorithm generated the path by using straight lines. However, in this situation, the knee points, which are the connection points when vehicle changed orientation, are created. These points make Unmanned Ground Vehicle continuous navigation unsuitable. Therefore, in this paper, B-spline curve function is applied to transform the path transfer into curve type. And because the location of the control point has influenced the B-spline curve, the optimal control selection algorithm is proposed. Also, the optimal path tracking speed can be calculated through the curvature radius of the B-spline curve. Finally, based on this algorithm, a path created program is applied to the path results of the A* algorithm and this B-spline curve algorithm. After that, the final path results are compared through the simulation.

A combined spline chirplet transform and local maximum synchrosqueezing technique for structural instantaneous frequency identification

  • Ping-Ping Yuan;Zhou-Jie Zhao;Ya Liu;Zhong-Xiang Shen
    • Smart Structures and Systems
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    • 제33권3호
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    • pp.201-215
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    • 2024
  • Spline chirplet transform and local maximum synchrosqueezing are introduced to present a novel structural instantaneous frequency (IF) identification method named local maximum synchrosqueezing spline chirplet transform (LMSSSCT). Namely spline chirplet transform (SCT), a transform is firstly introduced based on classic chirplet transform and spline interpolated kernel function. Applying SCT in association with local maximum synchrosqueezing, the LMSSSCT is then proposed. The index of accuracy and Rényi entropy show that LMSSSCT outperforms the other time-frequency analysis (TFA) methods in processing analytical signals, especially in the presence of noise. Numerical examples of a Duffing nonlinear system with single degree of freedom and a two-layer shear frame structure with time-varying stiffness are used to verify the effectiveness of structural IF identification. Moreover, a nonlinear supported beam structure test is conducted and the LMSSSCT is utilized for structural IF identification. Numerical simulation and experimental results demonstrate that the presented LMSSSCT can effectively identify the IFs of nonlinear structures and time-varying structures with good accuracy and stability.

3차 스플라인 보간법을 이용한 이동 객체의 위치 추정 (Location Prediction of Mobile Objects using the Cubic Spline Interpolation)

  • 안윤애;박정석;류근호
    • 한국정보과학회논문지:데이타베이스
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    • 제31권5호
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    • pp.479-491
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    • 2004
  • 이동 객체의 위치 정보는 차량 추적, 디지털 전장, 위치 기반 서비스, 텔레메틱스 등에 적용되며, 일정한 시간의 주기마다 측정된 위치 좌표가 시스템에 저장된다. 이 때 시스템에 저장되지 않은 질의 시점에서의 위치 정보를 추정하기 위해 선형 함수가 주로 사용된다. 그러나 선형 함수를 사용한 위치 추정에는 오차가 발생되므로, 위치 표현의 부정확성을 보완하기 위한 방법이 필요하다. 이 논문에서는 선형위치 추정 함수의 오차를 감소시키기 위해 3차 스플라인 보간법의 적용을 제안한다. 먼저 2차원 공간에서 이동하는 객체의 위치 정보를 정의한다. 다음으로 3차 스플라인 보간법을 제안한 데이타 모델의 위치 추정에 적용하고, 위치 추정 연산 알고리즘을 기술한다. 마지막으로 제안한 위치 추정 연산 모델의 정확성을 실험한다. 실험 결과, 이 논문에서 제안한 위치 추정 연산은 적은 량의 위치 정보를 사용함에도 불구하고, 선형 함수를 사용한 경우보다 더 정확한 결과를 나타내었다. 제안 방법은 이동 객체의 위치 정보 관리를 위한 데이타 저장공간 및 통신비용을 감소시키는 장점을 가진다.

Meshless local collocation method for natural frequencies and mode shapes of laminated composite shells

  • Xiang, Song;Chen, Ying-Tao
    • Structural Engineering and Mechanics
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    • 제51권6호
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    • pp.893-907
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    • 2014
  • Meshless local collocation method produces much better conditioned matrices than meshless global collocation methods. In this paper, the meshless local collocation method based on thin plate spline radial basis function and first-order shear deformation theory are used to calculate the natural frequencies and mode shapes of laminated composite shells. Through numerical experiments, the accuracy and efficiency of present method are demonstrated.

Estimation of Interval Censored Regression Spline Model with Variance Function

  • Joo, Yong-Sung;Lee, Keun-Baik;Jung, Hyeng-Joo
    • Journal of the Korean Data and Information Science Society
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    • 제19권4호
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    • pp.1247-1253
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    • 2008
  • In this paper, we propose a interval censored regression spline model with a variance function (non-constant variance that depends on a predictor). Simulation studies show our estimates from MCECM algorithm are consistent, but biased when the sample size is small because of boundary effects. Also, we examined how the distribution of $x_i$ affects the converging speed of these consistent estimates.

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CIRCLE APPROXIMATION BY QUARTIC G2 SPLINE USING ALTERNATION OF ERROR FUNCTION

  • Kim, Soo Won;Ahn, Young Joon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제17권3호
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    • pp.171-179
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    • 2013
  • In this paper we present a method of circular arc approximation by quartic B$\acute{e}$zier curve. Our quartic approximation method has a smaller error than previous quartic approximation methods due to the alternation of the error function of our quartic approximation. Our method yields a closed form of error so that subdivision algorithm is available, and curvature-continuous quartic spline under the subdivision of circular arc with equal-length until error is less than tolerance. We illustrate our method by some numerical examples.

공구경 보정을 이용한 2차원 자유곡선의 가공 (Machining of 2D Parametric Spline Using Cutter Radius Compensation)

  • 신하용;정회민;곽영수
    • 산업공학
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    • 제8권3호
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    • pp.133-139
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    • 1995
  • Free from curves and surfaces are frequently used in designing engineering products such as car, ship, airplane, and hosing of electronic households. In many aspect, it is very nice to use the cutter radius compensation function of CNC controller when contour machining a 2-dimensional curve. However, if the 2D curve is a parametric spline, it is not easy to apply the cutter radius compensation function of CNC controller to the NC data obtained from many commercial CAM system. This is mainly due to the error magnification effect when offsetting line segments with inevitable round-off error at their vertices. Proposed in this paper is an approach to contour machining a 2D parametric spline while using cutter radius compensation. Some implementation results are included.

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Form Parameter Design 을 이용한 선형최적화 (Hull Form Optimization Based on From Parameter Design)

  • 이연승;최영복
    • 대한조선학회논문집
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    • 제46권6호
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    • pp.562-568
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    • 2009
  • Hull form generation and variation methods to be mainly discussed in this study are based on the fairness optimized B-Spline form parameter curves (FOBFC). These curves can be used both as indirect modification function for variation and as geometric entities for hull form generation. The flexibility and functionality of geometric control technique play the most important role for the success of hull form optimization. This study shows the hydrodynamic optimization process and the characteristics of optimum design hull forms of a 14,000TEU containership and 60K LPG carrier. SHIPFLOW has been used as a CFD solver and FS-Framework as a geometric modeler and optimizer.