| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6423081 | Journal of Computational and Applied Mathematics | 2011 | 10 Pages |
Abstract
We obtain cubic and quartic Bézier approximations of circular arcs that respectively satisfy G1 and G2 end-point interpolation conditions. We identify the necessary and sufficient conditions for such approximations to be the best, in the sense that they have the minimum Hausdorff distance to the circular arc. We then establish the existence and uniqueness of these best approximations and present practical methods to calculate them, which are verified by examples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Seok Hur, Tae-wan Kim,