Polynomial approximation of rational Bézier curves with constraints

Stanisław Lewanowicz; Paweł Woźny; Paweł Keller

doi:10.1007/s11075-011-9507-0

Polynomial approximation of rational Bézier curves with constraints

Numerical Algorithms ◽

10.1007/s11075-011-9507-0 ◽

2011 ◽

Vol 59 (4) ◽

pp. 607-622 ◽

Cited By ~ 14

Author(s):

Stanisław Lewanowicz ◽

Paweł Woźny ◽

Paweł Keller

Keyword(s):

Polynomial Approximation ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

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Sample-based polynomial approximation of rational Bézier curves

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.08.008 ◽

2011 ◽

Vol 235 (6) ◽

pp. 1557-1563 ◽

Cited By ~ 13

Author(s):

Lizheng Lu

Keyword(s):

Polynomial Approximation ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

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Constrained polynomial approximation of rational Bézier curves using reparameterization

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.02.022 ◽

2013 ◽

Vol 249 ◽

pp. 133-143 ◽

Cited By ~ 4

Author(s):

Qianqian Hu ◽

Huixia Xu

Keyword(s):

Polynomial Approximation ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

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Polynomial Accelerated Iterative Approximation for Higher Order and Rational Bézier Curves

Results in Mathematics ◽

10.1007/s00025-021-01453-y ◽

2021 ◽

Vol 76 (3) ◽

Author(s):

Chengzhi Liu ◽

Lian Yang ◽

Li Zhang

Keyword(s):

Higher Order ◽

Iterative Approximation ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

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Trajectory Generation based on Rational Bezier Curves as Clothoids

2007 IEEE Intelligent Vehicles Symposium ◽

10.1109/ivs.2007.4290165 ◽

2007 ◽

Cited By ~ 17

Author(s):

Nicolas Montes ◽

Marta C. Mora ◽

Josep Tornero

Keyword(s):

Trajectory Generation ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

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Degree Reduction of Rational Bézier Curves

SSRN Electronic Journal ◽

10.2139/ssrn.3985143 ◽

2021 ◽

Author(s):

Mao Shi

Keyword(s):

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

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Recursive formulae for Hermite polynomial approximations to rational Bezier curves

Proceedings Geometric Modeling and Processing 2000. Theory and Applications ◽

10.1109/gmap.2000.838251 ◽

2000 ◽

Cited By ~ 3

Author(s):

Ligang Liu ◽

Guojin Wang

Keyword(s):

Hermite Polynomial ◽

Bezier Curves ◽

Bézier Curves ◽

Polynomial Approximations ◽

Rational Bézier Curves

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Rational Bézier curves approximated by Bernstein–Jacobi hybrid polynomial curves

Computational and Applied Mathematics ◽

10.1007/s40314-020-01291-8 ◽

2020 ◽

Vol 39 (3) ◽

Author(s):

Mao Shi

Keyword(s):

Bezier Curves ◽

Bézier Curves ◽

Polynomial Curves ◽

Rational Bézier Curves

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Necessary and Sufficient Conditions for Expressing Quadratic Rational Bézier Curves

Frontiers in Physics ◽

10.3389/fphy.2020.00175 ◽

2020 ◽

Vol 8 ◽

Author(s):

Chaoyu Yang ◽

Jie Yang ◽

Ying Liu ◽

Xianya Geng

Keyword(s):

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves ◽

Necessary And Sufficient

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VECTOR-VALUED LAPLACE TRANSFORMATION APPLIED TO RATIONAL BÉZIER CURVES

Current Developments in Differential Geometry and its Related Fields ◽

10.1142/9789814719780_0016 ◽

2015 ◽

Author(s):

Milen J. HRISTOV

Keyword(s):

Laplace Transformation ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves ◽

Vector Valued

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Prescribing the length of rational Bézier curves

Computer Aided Geometric Design ◽

10.1016/0167-8396(95)00005-4 ◽

1996 ◽

Vol 13 (1) ◽

pp. 23-43 ◽

Cited By ~ 5

Author(s):

John A. Roulier ◽

Bruce Piper

Keyword(s):

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

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