Name
Title | ||
|---|---|---|
Optimal parameter values for approximating conic sections by the quartic Bézier curves. |
Abstract | ||
|---|---|---|
The previous approximation curves of conic section by quartic Bzier curves interpolate the conic section at the specified parameter values. In this paper, by solving the minimax problem, we present the optimal parameter values for approximating conic sections by the quartic Bzier curves. The upper bound on the Hausdorff distance between the conic section and the approximation curves is minimized. The method of solving the minimax problem is changed to solve a quartic algebraic equation by delicate reasoning. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.cam.2017.03.029 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
Conic section,Quartic Bézier curves,Hausdorff distance,Optimal parameters | Mathematical optimization,Conic constant,Family of curves,Upper and lower bounds,Mathematical analysis,Algebraic equation,Quartic function,Hausdorff distance,Conic section,Quartic surface,Mathematics | Journal |
Volume | Issue | ISSN |
322 | C | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 7 |
Authors | ||
2 | ||