• 제목/요약/키워드: Spline curve

검색결과 205건 처리시간 0.026초

Recognition of Profile Contours of Human Face by Approximation - Approximation -

  • Yang, Yun-Mo
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1988년도 전기.전자공학 학술대회 논문집
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    • pp.679-682
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    • 1988
  • From the viewpoint of general recognition system, B-spline is introduced for the approximation and recognition of human profile contours. Profile contour is approximated to the cublic B-spline curve by least square fitting so that B-Spline nodes nearly correspond with the curvature extrema of the contour. This method is designed for the spline to be good features in recognition, and also showed good approximation compared with the variants of B-spline appraximation.

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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.

쌍3차 스플라인곡면 식에 의한 이동곡면의 표현 (Representation of Sweep Surface in Bicubic Spline surface Form)

  • 전차수;조형래;박세형
    • 대한기계학회논문집
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    • 제19권4호
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    • pp.1005-1012
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    • 1995
  • This paper proposes a new approach for modeling sweep surfaces. The overall modeling procedure consists of following steps : (1)remeshing the section curves based on the curve lengths ; (2)remeshing the guide curve and the boundary curves based on a given sweeping rule ; (3)obtaining intermediate section curves at the remeshed points of the guide curve by blending the initial section curves ; (4)compensation of the intermediate section curves ; (5)interpolating the initial and intermediate curves using Hermite interpolant. The resulting sweep surface is expressed in a G$^{2}$ bicubic parametric spline surface.

확대 영상의 윤각선 보간 알고리즘 비교 (Interpolation Algorithm Comparison for Contour of Magnified Image)

  • 이용중;김기대;조순조
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2001년도 추계학술대회(한국공작기계학회)
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    • pp.381-386
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    • 2001
  • When a input image is extensively magnified on the computer system, it is almost impossible to replicate the original shape because of mismatched coordinates system. In order to resolve the problem, the shape of the magnified image has been reconfigured using the bilinear interpolation method, low pass special filtering interpolation method and B-spline interpolation method, Ferguson curve interpolation method based on the CAD/CAM curve interpolation algorithm. The computer simulation main result was that. Nearest neighbor interpolation method is simple in making the interpolation program but it is not capable to distinguish the original shape. Bilinear interpolation method has the merit to make the magnified shape smooth and soft but calculation time is longer than the other method. Low pass spatial filtering method and B-spline interpolation method has an effect to immerge the intense of the magnified shape but it is also difficult to distinguish the original shape. Ferguson curve interpolation method has sharping shape than B-spline interpolation method.

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B-스플라인 노트백터 값 변화에 의한 곡선 형상 변화 예측 (The forecast of curve shape reforming by variation of B-spline knot vector values)

  • 김희중;정재현
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1994년도 추계학술대회 논문집
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    • pp.866-871
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    • 1994
  • B-spline curves and surfaces are effective solutions for design and modelling of the freeform models. The control methods of these are using with control points, knot vectors and weight of NURBS. Using control point is easy and resonable for representation of general models. But the movement of control points bring out the reformation of original convex hull. The B-splines with nonuniform knot vector provide good result of the shape modification without convex hull reforming. B-splines are constructed with control points and basis functions. Nonuniform knot vectors effect on the basis functions. And the blending curves describe the prorities of knot vectors. Applying of these, users will forecast of the reformed curves after modifying controllabler primitives.

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1차원 시스톨릭 어레이 프로세서를 이용한 고속 곡선 발생기에 관한 연구 (A Study on the High Speed Curve Generator Using 1-Dimensional Systolic Array Processor)

  • 김용성;조원경
    • 전자공학회논문지B
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    • 제31B권5호
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    • pp.1-11
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    • 1994
  • In computer graphics since objects atre constructed by lines and curves, the high-speed curve generator is indispensible for computer aided design and simulatation. Since the functions of graphic generation can be represented as a series of matrix operations, in this paper, two kind of the high-speed Bezier curve generator that uses matrix equation and a recursive relation for Bezier polynomials are designed. And B-spline curve generator is designed using interdependence of B-spline blending functions. As the result of the comparison of designed curve generator and reference [5], [6] in the operation time and number of operators, the curve generator with 1-dimensional systolic array processor for matrix vector operation that uses matrix equation for Bezier curve is more effective.

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사술성형 모사에 있어서 벽면 경계조건 처리를 위한 선단 유동장 생성기법과 spline 곡선을 이용한 선단 격자 재구성 (Frontal Flow Field Construction for Wall Boundary Condition Treatment and Frontal Remeshing Using Spline Curve in Injection Molding Simulation)

  • 윤재륜
    • 유변학
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    • 제5권1호
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    • pp.34-48
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    • 1993
  • 최근 CAD/CAM의 발전과 더불어 사출성형공정은 여러분야에 폭넓게 응용되고 있 다. 사출성형공정은 크게 충전과정(filling stage), 냉각과정(cooling stage), 보압과정(packing stage)로 나누어 지는데 이중 충전과정은냉각과정과 보압과정에서 나타날 물리적인 현상과 최종 성형품의 기계적 성질에 중요한 영향을 끼치게 된다. 충전과정의 수치 해석 방법은 대 표적으로 control volume method, branching flow method, transient moving boun-dary method로 구분된다. 본 연구에서는 격자의 형태를 양호하게 형성시키고 유동선단의 형태를 개선하기위한 기법인 Spline 곡선을 이용한 선단격자 재구성(frontal remeshing using spline curve)과 수치해석에 소요되는 시간을 줄이기 위하여 벽면경계조건 처리를 위한 선단 유동 장생성(frontal flow field construction for wall boun-dary condition treatment)기법을 개발 하고 transient moving voundary method에 적용시켜 원형 평판과 인장 및 굽힘시편 그리고 두께가 변하는 사각 형상을 가진 캐비터에서의 충전과정을 수치해석하였다. 그결과 압력 분 포, 온도분포, 속도장, 유동선단의 진전형태 등이 기존에 제출된 해석결과와 비교하여 볼 때 만족스러운 수치해석결과를 보였다.

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Weight Control and Knot Placement for Rational B-spline Curve Interpolation

  • Kim, Tae-Wan;Lee, Kunwoo
    • Journal of Mechanical Science and Technology
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    • 제15권2호
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    • pp.192-198
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    • 2001
  • We consider an interpolation problem with nonuniform rational B-spline curves given ordered data points. The existing approaches assume that weight for each point is available. But, it is not the case in practical applications. Schneider suggested a method which interpolates data points by automatically determining the weight of each control point. However, a drawback of Schneiders approach is that there is no guarantee of avoiding undesired poles; avoiding negative weights. Based on a quadratic programming technique, we use the weights of the control points for interpolating additional data. The weights are restricted to appropriate intervals; this guarantees the regularity of the interpolating curve. In a addition, a knot placement is proposed for pleasing interpolation. In comparison with integral B-spline interpolation, the proposed scheme leads to B-spline curves with fewer control points.

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T-스플라인 유한요소해석을 이용한 트림 곡면 해석 (Trimmed surface analysis based on T-spline FEM)

  • 김현중;서유덕;윤성기
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.612-617
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    • 2008
  • In this present work, trimmed surface analysis for the 2D elasticity problem is presented. The main benefit of the proposed method is that no additional modeling for analysis of a trimmed surface is necessary. As the first attempt to deal with a trimmed surface in spline FEM, the information of the trimming curve and trimmed surface exported from CAD system is directly utilized for analysis. For this, trimmed elements are searched through employing projection scheme. For the integration of the trimmed elements, NURBSenhanced integration scheme which is used in NEFEM is adopted. The quadtree refinement of integration cell is performed for the complicated trimmed cases. The information of trimming curve is used for obtaining integration points as well as constructing stiffness matrix. The robustness and effectiveness of the proposed method are investigated by presenting various numerical examples.

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CUBIC B-SPLINE을 이용한 고유치 해석 (EIGENVALUE ANALYSIS USING PIECEWISE CUBIC B-SPLINE)

  • Kim Young-Moon
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.355-360
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    • 2000
  • This paper presents properties of piecewise cubic B-spline function and Rayleigh-Ritz method to compute the smallest eigenvales. In order to compute the smallest eigenvalues, Rayleigh quotient approach is used and four different types of finite element approximating functions corresponding to the statical deflection curve, spanned by the linearly independent set of piecewise cubic B-spline functions with equally spaced 5 knots from a partion of [0, 1], each satisfying homogeneous boundary conditions with constraining effects are used to compute the smallest eigenvalues for a Sturm-Lionville boundary equations of u"+ λ²u=0, u(0.0)=u(0.0)=0, 0≤x≤1.0.

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