论文信息 - Knot line refinement algorithms for tensor product B-spline surfaces

Knot line refinement algorithms for tensor product B-spline surfaces

Several refinement and subdivision algorithms for univariate B-spline curves are discussed in a tensor product setting. Efficiency considerations lead to a different choice of algorithms in the tensor product case than in the univariate case.

Tom Lyche | Elaine Cohen | Knut Mørken

[1] C. D. Boor,et al. Splines as linear combinations of B-splines. A Survey , 1976 .

[2] Carl de Boor,et al. A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[3] W. Boehm. Inserting New Knots into B-spline Curves , 1980 .

[4] Tom Lyche,et al. Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics , 1980 .

[5] Rong-Qing Jia,et al. Total positivity of the discrete spline collocation matrix , 1983 .

[6] T. Lyche,et al. Making the Oslo algorithm more efficient , 1986 .