G k,l -constrained multi-degree reduction of Bézier curves

Author:

Gospodarczyk Przemysław,Lewanowicz Stanisław,Woźny Paweł

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference17 articles.

1. Bonnans, J.F., Gilbert, J.C., Lemarechal, C., Sagastizábal, C.A.: Numerical optimization: theoretical and practical aspects, 2nd edn. Springer, Berlin (1997)

2. Chen, G., Wang, G.: Optimal multi-degree reduction of Bézier curves with constraints of endpoints continuity. Comput. Aided Geom. Des. 19, 365–377 (2002)

3. Eck, M.: Least squares degree reduction of Bézier curves. Comput. Aided Des. 27, 845–851 (1995)

4. Farin, G.E.: Curves and Surfaces for Computer-Aided Geometric Design. A Practical Guide, 5th edn. Academic Press, Boston (2002)

5. Lewanowicz, S., Woźny, P.: Multi-degree reduction of tensor product Bézier surfaces with general boundary constraints. Appl. Math. Comput. 217, 4596–4611 (2011)

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1. Fast and accurate evaluation of dual Bernstein polynomials;Numerical Algorithms;2020-08-29

2. Differential-recurrence properties of dual Bernstein polynomials;Applied Mathematics and Computation;2018-12

3. Note on multi-degree reduction of Bézier curves via modified Jacobi–Bernstein basis transformation;Journal of Computational and Applied Mathematics;2017-05

4. Degree reduction of composite Bézier curves;Applied Mathematics and Computation;2017-01

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