论文信息 - On Normals and Control Nets - 字舞流文

On Normals and Control Nets

This paper characterizes when the normals of a spline curve or spline surface lie in the more easily computed cone of the normals of the segments of the spline control net.

Jörg Peters | Georg Umlauf | Ingo Ginkel

[1] Charles T. Loop,et al. Smooth Subdivision Surfaces Based on Triangles , 1987 .

[2] Jörg Peters,et al. Combining 4- and 3-direction subdivision , 2004, ACM Trans. Graph..

[3] Thomas W. Sederberg,et al. Hodographs and normals of rational curves and surfaces , 1995, Comput. Aided Geom. Des..

[4] Robert E. Barnhill,et al. Surfaces in Computer Aided Geometric Design , 1983 .

[5] Will Light,et al. Advances in Numerical Analysis, Vol. II: Wavelets, Subdivision Algorithms, and Radial Basis Functions. , 1993 .

[6] N. Dyn. Subdivision schemes in CAGD , 1992 .

[7] C. D. Boor,et al. Box splines , 1993 .

[8] Michael S. Floater,et al. Derivatives of rational Bézier curves , 1992, Comput. Aided Geom. Des..

[9] Michael S. Floater. Evaluation and properties of the derivative of a NURBS curve , 1992 .

[10] Wolfgang Böhm. An affine representation of de Casteljau's and de Boor's rational algorithms , 1993, Comput. Aided Geom. Des..