• Title/Summary/Keyword: 5차 B 스플라인

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The Method of The GEometric Shape-Matching using spline (스플라인을 이용한 기하학 형태 매칭방법)

  • Park, Cheol-Ho;Sim, Jae-Hong
    • The Transactions of the Korea Information Processing Society
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    • v.5 no.1
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    • pp.181-190
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    • 1998
  • 특정한 부분에 정확성을 가지는 기하학 형태인식은 이미지 분석 응용에서 중요하게 다루어져 왔다. 또한, 부분적 혹은 변형된 모양을 계층화하는 새로운 접근방법에 대한 연구가 계속되고 있다. 그러므로 본 논문에서는 자유형태의 부드러운 곡선을 생성하는데 용이한 스플라인 공식들을 이용하여 새로운 기하학 형태 매칭 접근 방법을 제안한다. 이와 같은 방법에서, 여러개의 스플라인 공식들로 생성된 곡선들의 집합은 동일한 형태의 성질을 가진다. 본 논문은 곡선 설계를 위하여 일반적인 상호작용 방법과 다양한 스플라인 공식간에 관계들을 이용함으로서 간단한 설계점(design point)들의 이동으로 형태매칭 방법에 관한 관계성을 보인다. 그러므로, 본 논문에서는 3차 스플라인의 공식(B-splines, Bezier splines, Catmull-Rom splines)을 이용하여 형태 매칭 방법을 제안한다.

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A study on the improved de-interlacing applying third order spline interpolation for horizontal direction and ELA (수평방향의 3차 스플라인 보간과 ELA을 이용한 개선된 디인터레이싱 연구)

  • Baek, Kyung-Hoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.1
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    • pp.696-701
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    • 2017
  • This paper proposes an improved de-interlacing method that converts interlaced images into progressive images from one field. First, it calculates inter-pixel values applying third-order spline interpolation for the horizontal direction from four upper lower pixel values of missing pixels. From inter-pixel values obtained from spline interpolation and upper lower pixels with value, the proposed method makes an accurate estimate of the direction by applying the correlation between upper and lower pixels. The correlation between upper and lower pixels is calculated in nine directions of a missing pixel by using values obtained from spline interpolation and pixels with value. The direction of an edge is determined as the direction in which the correlation between upper and lower pixels is at its minimum. Thus, a missing pixel is calculated by taking the average of upper lower pixels obtained from the predicted direction of an edge. From the simulation results, there are problems in that it takes a bit more time for processing, but it is expected that the time problem will be improved by increasing CPU processing speed. As for image quality, it is shown that the proposed method improves both subjective and objective image quality and quantitatively improves picture signal-to-noise ratio (PSNR) in the range between 0.1 dB to 0.5 dB, as compared with previously presented de-interlacing methods.

Global Search for Optimal Geometric Path amid Obstacles Considering Manipulator Dynamics (로봇팔의 동역학을 고려한 장애물 속에서의 최적 기하학적 경로에 대한 전역 탐색)

  • 박종근
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.1133-1137
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    • 1995
  • This paper presents a numerical method of the global search for an optimal geometric path for a manipulator arm amid obstacles. Finite term quintic B-splines are used to describe an arbitrary point-to-point manipulator motion with fixed moving time. The coefficients of the splines span a linear vector space, a point in which uniquely represents the manipulator motion. All feasible geometric paths are searched by adjusting the seed points of the obstacle models in the penetration growth distances. In the numerical implementation using nonlinear programming, the globally optimal geometric path is obtained for a spatial 3-link(3-revolute joints) manipulator amid several hexahedral obstacles without simplifying any dynamic or geometric models.

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Obstacle-Free Optimal Motions of a Manipulator Arm Using Penetration Growth Distance (침투성장거리를 이용한 로봇팔의 장애물회피 최적운동)

  • Park, Jong-Keun
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.10
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    • pp.116-126
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    • 2001
  • This paper suggests a numerical method to find optimal geometric path and minimum-time motion for a spatial 6-link manipulator arm (PUMA 560 type). To find a minimum-time motion, the optimal geometric paths minimizing 2 different dynamic performance indices are searched first, and the minimum-time motions are searched on these optimal paths. In the algorithm to find optimal geometric paths, the objective functions (performance indices) are selected to minimize joint velocities, actuator forces or the combinations of them as well as to avoid one static obstacle. In the minimum-time algorithm the traveling time is expressed by the power series including 21 terms. The coefficients of the series are obtained using nonlinear programming to minimize the total traveling time subject to the constraints of velocity-dependent actuator forces.

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Optimal Geometric Path and Minimum-Time Motion for a Manipulator Arm (로봇팔의 최적 기하학적 경로 및 시간최소화 운동)

  • Park, Jong-Keun;Han, Sung-Hyun;Kim, Tae-Han;Lee, Sang-Tak
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.204-213
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    • 1999
  • This paper suggests a numerical method of finding optimal geometric path and minimum-time motion for a manipulator arm. To find the minimum-time motion, the optimal geometric path is searched first, and the minimum-time motion is searched on this optimal path. In the algorithm finding optimal geometric path, the objective function is minimizing the combination of joint velocities, joint-jerks, and actuator forces as well as avoiding several static obstacles, where global search is performed by adjusting the seed points of the obstacle models. In the minimum-time algorithm, the traveling time is expressed by the linear combinations of finite-term quintic B-splines and the coefficients of the splines are obtained by nonlinear programming to minimize the total traveling time subject to the constraints of the velocity-dependent actuator forces. These two search algorithms are basically similar and their convergences are quite stable.

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Minimum-Time Trajectory Planning for a Robot Manipulator amid Obstacles (로봇팔의 장애물 중에서의 시간 최소화 궤도 계획)

  • 박종근
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.1
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    • pp.78-86
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    • 1998
  • This paper presents a numerical method of the minimum-time trajectory planning for a robot manipulator amid obstacles. Each joint displacement is represented by the linear combination of the finite-term quintic B-splines which are the known functions of the path parameter. The time is represented by the linear function of the same path parameter. Since the geometric path is not fixed and the time is linear to the path parameter, the coefficients of the splines and the time-scale factor span a finite-dimensional vector space, a point in which uniquely represents the manipulator motion. The displacement, the velocity and the acceleration conditions at the starting and the goal positions are transformed into the linear equality constraints on the coefficients of the splines, which reduce the dimension of the vector space. The optimization is performed in the reduced vector space using nonlinear programming. The total moving time is the main performance index which should be minimized. The constraints on the actuator forces and that of the obstacle-avoidance, together with sufficiently large weighting coefficients, are included in the augmented performance index. In the numerical implementation, the minimum-time motion is obtained for a planar 3-1ink manipulator amid several rectangular obstacles without simplifying any dynamic or geometric models.

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