Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
A shape preserving representation with an evaluation algorithm of linear complexity
Computer Aided Geometric Design
A unified matrix representation for degree reduction of Bézier curves
Computer Aided Geometric Design
Explicit G2-constrained degree reduction of Bézier curves by quadratic optimization
Journal of Computational and Applied Mathematics
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In this paper, the problem of single and multiple degree elevation and reduction for DP curves and surfaces is considered and expressed in matrix representations. Using monomial matrix representations of the univariate DP polynomials, single and multiple degree elevation matrices can be derived by minor extension of this monomial matrix. Given this result, matrices of constrained single and multiple degree reduction can be readily obtained. Finally, important and sufficient conditions for degree reduction can also be found from these resulting matrices.