Name
Abstract | ||
|---|---|---|
In this paper we propose two approximation methods of conic section by quartic Bézier curves. These are the extensions of the quartic Bézier approximations of circular arcs presented in Ahn and Kim (1997) [1] and Kim and Ahn (2007) [10] to conic cases. We also give the error bounds of the Hausdorff distances between the conic section and the approximation curves, and show that the error bounds have the approximation order eight. Our methods yield quartic G 2 (curvature) continuous spline approximations of conic sections using the subdivision scheme stated in Floater (1995, 1997) [5,11] . We illustrate our results by some numerical examples. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.camwa.2010.07.032 | Computers and Mathematics with Applications |
Keywords | Field | DocType |
Quartic Bézier curve,Hausdorff distance,Spline,Conic section,Curvature continuity,Approximation order | Spline (mathematics),Mathematical optimization,Conic constant,Curvature,Mathematical analysis,Bézier curve,Quartic function,Hausdorff distance,Conic section,Mathematics,Quartic surface | Journal |
Volume | Issue | ISSN |
60 | 7 | Computers and Mathematics with Applications |
Citations | PageRank | References |
7 | 0.70 | 12 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Young Joon Ahn | 1 | 91 | 11.01 |