Name
Abstract | ||
|---|---|---|
In this paper the C^1 Hermite interpolation problem by spatial Pythagorean-hodograph cubic biarcs is presented and a general algorithm to construct such interpolants is described. Each PH cubic segment interpolates C^1 data at one point and they are then joined together with a C^1 continuity at some unknown common point sharing some unknown tangent vector. Biarcs are expressed in a closed form with three shape parameters. Two of them are selected based on asymptotic approximation order, while the remaining one can be computed by minimizing the length of the biarc or by minimizing the elastic bending energy. The final interpolating spline curve is globally C^1 continuous, it can be constructed locally and it exists for arbitrary Hermite data configurations. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.cam.2013.08.007 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
spatial pythagorean-hodograph cubic biarcs,arbitrary hermite data configuration,general algorithm,unknown common point,c1 hermite interpolation,ph cubic segment,asymptotic approximation order,unknown tangent vector,hermite interpolation problem,final interpolating spline curve,closed form,hermite,interpolation,spatial,cubic | Spline (mathematics),Mathematical optimization,Hermite spline,Mathematical analysis,Tangent vector,Interpolation,Monotone cubic interpolation,Cubic Hermite spline,Biarc,Hermite interpolation,Mathematics | Journal |
Volume | ISSN | Citations |
257, | 0377-0427 | 9 |
PageRank | References | Authors |
0.56 | 17 | 8 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bohumír Bastl | 1 | 136 | 10.49 |
| Michal Bizzarri | 2 | 51 | 8.12 |
| Marjeta Krajnc | 3 | 92 | 11.67 |
| Miroslav LáVičKa | 4 | 158 | 11.36 |
| Kristýna Slabá | 5 | 14 | 1.01 |
| Zbynk Šír | 6 | 54 | 3.25 |
| Vito Vitrih | 7 | 79 | 12.05 |
| Emil agar | 8 | 29 | 2.82 |