论文信息 - Geometric continuity with interpolating Be´zier curves

Geometric continuity with interpolating Be´zier curves

The Bezier formulation for parametric curves has many qualities, among them the intuitive relationship between the shape of the control polygon and the shape of the curve, and the ease of computation and subdivision. Other formulations, however, have become more popular because they offer local control, or because they are interpolating, or even more recently because they provide the added flexibility of shape parameters.

Brian A. Barsky | Alain Fournier | B. Barsky | A. Fournier

[1] G. Farin. Visually C2 cubic splines , 1982 .

[2] Donald E. Knuth. METAFONT: a system for alphabet design , 1979 .

[3] B. Barsky,et al. An Intuitive Approach to Geometric Continuity for Parametric Curves and Surfaces (Extended Abstract) , 1985 .

[4] B. Barsky. The beta-spline: a local representation based on shape parameters and fundamental geometric measures , 1981 .

[5] I. Faux,et al. Computational Geometry for Design and Manufacture , 1979 .

[6] Brian A. Barsky,et al. Local Control of Bias and Tension in Beta-splines , 1983, TOGS.

[7] E. Catmull,et al. A CLASS OF LOCAL INTERPOLATING SPLINES , 1974 .