Name
Abstract | ||
|---|---|---|
With a support on four consecutive subintervals, a class of general quartic splines are presented for a non-uniform knot vector. The splines have C^2 continuity at simple knots and include the cubic non-uniform B-spline as a special case. Based on the given splines, piecewise quartic spline curves with three local shape parameters are given. The given spline curves can be C^2@?G^3 continuous by fixing some values of the curve@?s parameters. Without solving a linear system, the spline curves can also be used to interpolate sets of points with C^2 continuity. The effects of varying the three shape parameters on the shape of the quartic spline curves are determined and illustrated. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cagd.2011.02.001 | Computer Aided Geometric Design |
Keywords | Field | DocType |
general quartic spline,b-spline curve,piecewise quartic spline curve,cubic non-uniform b-spline,geometric continuity,non-uniform knot vector,shape parameter,local shape parameter,general quartic spline curve,consecutive subintervals,interpolation curve,quartic spline curve,linear system,spline curve | B-spline,Spline (mathematics),Topology,Box spline,Thin plate spline,Hermite spline,Spline interpolation,Mathematical analysis,Smoothing spline,Mathematics,Quartic surface | Journal |
Volume | Issue | ISSN |
28 | 3 | Computer Aided Geometric Design |
Citations | PageRank | References |
8 | 0.63 | 15 |
Authors | ||
1 | ||