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Bézier curve

Known as: Bezier splines, Bézier, Bezier curves 
A Bézier curve is a parametric curve frequently used in computer graphics and related fields. Generalizations of Bézier curves to higher dimensions… Expand
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Papers overview

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Highly Cited
2010
Highly Cited
2010
This paper presents a Bézier curve based path planner which enables the anti-collision behavior of an electronic car. The anti… Expand
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Highly Cited
2009
Highly Cited
2009
Abstract A cubic trigonometric Bezier curve analogous to the cubic Bezier curve, with two shape parameters, is presented in this… Expand
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Highly Cited
2009
Highly Cited
2009
This paper proposes an efficient, Bezier curve based approach for the path planning of a mobile robot in a multi-agent robot… Expand
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Highly Cited
2006
Highly Cited
2006
  • G. Farin
  • Comput. Aided Geom. Des.
  • 2006
  • Corpus ID: 535706
We discuss 3D Bezier curves with monotone curvature and torsion, generalizing a 2D class of curves by Y. Mineur et al. 
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Highly Cited
2003
Highly Cited
2003
We define q-Bernstein polynomials, which generalize the classical Bernstein polynomials, and show that the difference of two… Expand
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Highly Cited
2003
Highly Cited
2003
In this paper, a new basis, to be called C-Bezier basis, is constructed for the space Γn = span{1, t, t2,...,tn-2, sin t, cos t… Expand
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Highly Cited
2002
Highly Cited
2002
1 Geometric fundamentals.- 2 Bezier representation.- 3 Bezier techniques.- 4 Interpolation and approximation.- 5 B-spline… Expand
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Highly Cited
2001
Highly Cited
2001
Abstract We discus several alternatives to the rational Bezier model, based on using curves generated by mixing polynomial and… Expand
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Highly Cited
1996
Highly Cited
1996
  • L. Shao, Hao Zhou
  • CVGIP Graph. Model. Image Process.
  • 1996
  • Corpus ID: 15051663
Abstract In this paper, a new curve-fitting algorithm is presented. This algorithm can automatically fit a set of data points… Expand
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Highly Cited
1990
Highly Cited
1990
Abstract A technique referred to as Bezier clipping is presented. This technique forms the basis of algorithm for computing the… Expand
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