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 ◽

Author(s):

Hong-jie Cai ◽

Guo-jin Wang

Keyword(s):

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

Download Full-text

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

Download Full-text

Degree Reduction of Classic Disk Rational Bézier Curves in L2 Norm

2015 14th International Conference on Computer-Aided Design and Computer Graphics (CAD/Graphics) ◽

10.1109/cadgraphics.2015.36 ◽

2015 ◽

Author(s):

Mao Shi

Keyword(s):

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves ◽

Download Full-text

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 ◽

Author(s):

Lian Zhou ◽

Guojin Wang

Keyword(s):

Matrix Representation ◽

Degree Reduction ◽

Bezier Curves ◽

Download Full-text

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

Download Full-text

Trajectory Generation based on Rational Bezier Curves as Clothoids

2007 IEEE Intelligent Vehicles Symposium ◽

10.1109/ivs.2007.4290165 ◽

2007 ◽

Author(s):

Nicolas Montes ◽

Marta C. Mora ◽

Josep Tornero

Keyword(s):

Trajectory Generation ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

Download Full-text

Polynomial approximation of rational Bézier curves with constraints

Numerical Algorithms ◽

10.1007/s11075-011-9507-0 ◽

2011 ◽

Vol 59 (4) ◽

pp. 607-622 ◽

Author(s):

Stanisław Lewanowicz ◽

Paweł Woźny ◽

Paweł Keller

Keyword(s):

Polynomial Approximation ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves

Download Full-text

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 ◽

Author(s):

Ligang Liu ◽

Guojin Wang

Keyword(s):

Hermite Polynomial ◽

Bezier Curves ◽

Bézier Curves ◽

Polynomial Approximations ◽

Rational Bézier Curves

Download Full-text

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

Download Full-text

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 ◽

Author(s):

Lian Zhou ◽

Guo-jin Wang

Keyword(s):

Divide And Conquer ◽

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves ◽

Explicit Expressions

Download Full-text

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

Download Full-text