Degree reduction of Be´zier curves
Computer-Aided Design
Chebyshev economization for parametric surfaces
Computer Aided Geometric Design
Degree reduction of Be´zier curves
Selected papers of the international symposium on Free-form curves and free-form surfaces
The geometry of optimal degree reduction of Be´zier curves
Computer Aided Geometric Design
Matrix representation for multi-degree reduction of Bézier curves
Computer Aided Geometric Design
Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials
Computer Aided Geometric Design
Matrix representation for multi-degree reduction of Bézier curves
Computer Aided Geometric Design
Multi-degree reduction of Bézier curves using reparameterization
Computer-Aided Design
Multiple degree elevation and constrained multiple degree reduction for DP curves and surfaces
Computers & Mathematics with Applications
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In this paper, we show the degree reduction of Bézier curves in a matrix representation. Most degree reduction algorithms have been described as a set of recursive equations which are based on the inverse problem of degree elevation. However, degree elevation can be easily expressed in terms of matrices. Motivated by this observation, we represent most well known degree reduction algorithms in a unified matrix form. In this way, we can simply express the process of degree reduction and achieve greater insight for many known results.