Name
Abstract | ||
|---|---|---|
In this paper, linear methods to find the multi-degree reduction of Bézier curves with G1-, G2-, and G3-continuity at the end points of the curves are derived. This is a significant improvement over existing geometric continuity degree reduction methods. The general equations for G2- and G3-multi-degree reduction schemes are non-linear; we were able to simplify these non-linear equations to linear ones by requiring C1-continuity. Our linear solution is given in an explicit, non-iterative form, and thus has lower computational costs than existing methods which were either non-linear or iterative. Further, there are no other existing G3-methods for multi-degree reduction. We give some examples and figures to demonstrate the efficiency, simplicity, and stability of our methods. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.cad.2012.10.023 | Computer-Aided Design |
Keywords | DocType | Volume |
Bézier curves,Multiple degree reduction,Geometric continuity | Journal | 45 |
Issue | ISSN | Citations |
2 | 0010-4485 | 2 |
PageRank | References | Authors |
0.42 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Abedallah Rababah | 1 | 54 | 6.65 |
| Stephen Mann | 2 | 219 | 35.25 |