Name
Abstract | ||
|---|---|---|
For planar spline curves and bivariate box-spline functions, the cone of normals of a polynomial spline piece is enclosed by the cone of normals of its spline control polyhedron. This note collects some concrete examples to show that this is not true for subdivision surfaces, both at extraordinary points and in the regular, box-spline setting. A larger set, the cross products of families of control net edges, has to be considered. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.cagd.2006.10.005 | Computer Aided Geometric Design |
Keywords | Field | DocType |
subdivision,extraordinary point,cross product,spline control polyhedron,splines,bivariate box-spline function,box-spline setting,polynomial spline piece,subdivision surface,control polyhedron,normals,planar spline curve,concrete example,larger set,box splines | Spline (mathematics),Topology,Combinatorics,Polynomial,Cross product,Polyhedron,Planar,Subdivision,Subdivision surface,Mathematics,Normal | Journal |
Volume | Issue | ISSN |
24 | 2 | Computer Aided Geometric Design |
Citations | PageRank | References |
1 | 0.38 | 4 |
Authors | ||
3 | ||