• 한국정보처리학회논문지
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• 제7권9호
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• pp.3019-3028
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• 2000

단순하면서도 다양한 곡선과 곡면 모습을 생성할 수 있기 때문에 캐드나 그래픽 패키지에서 빈번히 사용되는 스플라인 중 하나가 베지에 곡선이다. 곡선 설계의 편의성 면에서 볼 때 이 곡선이 지닌 가장 큰 장점은 부드러움을 유지하면서도 곡선의 양 끝점에서 사용자가 제시한 기울기 방향을 따라 간다는 점이다. 본 논문은 확장된 베지에 곡선의 공식을 유도함으로써, 곡선이 중점 부근에서도 사용자가 제시한 기울기 방향을 따라갈 수 있도록 하였다. 이는 사용자가 제시한 기울기 벡터를 분석하고 그 결과를 베지에 기반함수 행렬에 매개변수의 형태로 반영함으로써 가능하다. 결과적으로 사용자로서는 양 끝점을 포함하여 중점에 또 하나의 기울기 핸들을 사용하여 추가적으로 더욱 정밀한 베지에 곡선을 생성할 수 있게 된다.

• Communications for Statistical Applications and Methods
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• 제21권1호
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• pp.105-114
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• 2014

In this paper we suggest an efficient method to estimate the distribution function using the Bezier curve, and compare it with existing methods by simulation studies. In addition, we suggest a robust version of cross-validation criterion to estimate the number of Bezier points, and showed that the proposed method is better than the existing methods based on simulation studies.

• 응용통계연구
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• 제25권6호
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• pp.1049-1058
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• 2012

Nonparametric methods are often used as an alternative to parametric methods to estimate density function and regression function. In this paper we consider improved methods to select the Bezier points in Bezier curve smoothing that is shown to have the same asymptotic properties as the kernel methods. We show that the proposed methods are better than the existing methods through numerical studies.

• 한국공작기계학회논문집
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• 제13권3호
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• pp.113-118
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• 2004

In this paper, we propose a new weaving trajectory algorithm for the arc welding of a articulated manipulator. The algorithm uses the theory of Bezier spline. We make a comparison between the conventional algorithms using Catmull-Rom curve and the new algorithms using Bezier spline. The proposed algorithm has been evaluated based on the MATLAB environment in order to illustrate its good performance. Through simulations, the proposed algorithm can result in high-speed and flexible weaving trajectory planning so that it's trajectory cannot penetrate into a base metal compared to the conventional algorithm using Catmull-Rom curve.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2003년도 춘계학술대회 논문집
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• pp.1760-1763
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• 2003

In this paper, we propose a new weaving trajectory algorithm for the are welding of a articulated manipulator. The algorithm uses the theory of Bezier spline. We make a comparison between the conventional algorithms using Catmull-Rom curve and the new algorithms rising Bezier spline. The proposed algorithm has been evaluated based on the MATLAB environment in order to illustrate its good performance. The algorithm has been implemented on to the industrial manipulator of DR6 so as to show its real possibility. Through simulations and real implementations, the proposed algorithm can result in high-speed and flexible weaving trajectory planning and can reduce the processing time because it needs one-half calculation compared to the conventional algorithm using Catmull-Rom curve.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2002년도 하계학술대회 논문집 D
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• pp.2472-2474
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• 2002

This paper describe a trajectory generation method for a two-wheeled mobile robot using cubic Bezier curve. It is proposed that the method to determine the location of control points which mainly affect the shape of curve, and constrains for two-wheeled mobile are examined. Simulation results show its traceability of the trajectory of mobile robot.

• 한국광학회:학술대회논문집
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• 한국광학회 2007년도 동계학술발표회 논문집
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• pp.265-266
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• 2007

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2010년도 추계학술대회 논문집
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• pp.39-40
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• 2010

• 한국통신학회논문지
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• 제21권8호
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• pp.1861-1873
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• 1996

본 논문에서는 화상내 객체의 윤곽 점열을 직선과 Bezier 곡선으로 분리하고 이들의 구성비를 인덱스 키로 저장하여 질의화상을 검색할 수 있는 내용기반 화상정보 검색시스템을 구현하였다. 이를 위해 칼라 화상으로부터 윤곽 점열을 추출하고 화상내 객체의 내부영역을 제거하였으며 다각형 근사후 직선을 생성하고 나머지 화소에 대해서 화소열이 갖는 궤적에 충실한 Bezier 곡선을 생성하는 알고리즘을 제안하였다. 그리고 화상의 직선과 곡선의 전체 또는 블럭단위 구성비를 이용하여 유사도에 의한 검색 알고리즘도 제안하였다.

• 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.