Degree Reduction of Rational Bézier Curves

2015 ◽

Author(s):

Mao Shi

Keyword(s):

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves ◽

L2 Norm

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Constrained multi-degree reduction of rational Bézier curves using reparameterization

Journal of Zhejiang University SCIENCE A ◽

10.1631/jzus.2007.a1650 ◽

2007 ◽

Vol 8 (10) ◽

pp. 1650-1656 ◽

Cited By ~ 3

Author(s):

Hong-jie Cai ◽

Guo-jin Wang

Keyword(s):

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

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Matrix Representation for Optimal Multi-degree Reduction of Bézier Curves with G1 Constraints

Journal of Computer-Aided Design & Computer Graphics ◽

10.3724/sp.j.1089.2010.10628 ◽

2010 ◽

Vol 22 (4) ◽

pp. 735-740 ◽

Cited By ~ 3

Author(s):

Lian Zhou ◽

Guojin Wang

Keyword(s):

Matrix Representation ◽

Degree Reduction ◽

Bezier Curves ◽

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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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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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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Optimal constrained multi-degree reduction of Bézier curves with explicit expressions based on divide and conquer

Journal of Zhejiang University SCIENCE A ◽

10.1631/jzus.a0820290 ◽

2009 ◽

Vol 10 (4) ◽

pp. 577-582 ◽

Cited By ~ 4

Author(s):

Lian Zhou ◽

Guo-jin Wang

Keyword(s):

Divide And Conquer ◽

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves ◽

Explicit Expressions

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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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Degree Reduction of Rational Bézier Curves

Degree Reduction of Classic Disk Rational Bézier Curves in L2 Norm

Constrained multi-degree reduction of rational Bézier curves using reparameterization

Matrix Representation for Optimal Multi-degree Reduction of Bézier Curves with G1 Constraints

Polynomial Accelerated Iterative Approximation for Higher Order and Rational Bézier Curves

Trajectory Generation based on Rational Bezier Curves as Clothoids

Polynomial approximation of rational Bézier curves with constraints

Recursive formulae for Hermite polynomial approximations to rational Bezier curves

Rational Bézier curves approximated by Bernstein–Jacobi hybrid polynomial curves

Optimal constrained multi-degree reduction of Bézier curves with explicit expressions based on divide and conquer

Necessary and Sufficient Conditions for Expressing Quadratic Rational Bézier Curves

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