| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 440901 | Computer Aided Geometric Design | 2011 | 4 Pages |
Abstract
We show how to compute in a straightforward manner the geometric characteristics of a conic segment in rational Bézier form, by employing complex arithmetic. For a central conic, a simple quadratic equation defines the foci location, and its solution furnishes not only an explicit formula for the foci, but also for the center, axis direction and linear eccentricity.
► Complex arithmetic simplifies formulae for characteristic of conics in Bézier form. ► For central conics, a complex quadratic equation defines the foci location. ► The solution also furnishes the center, axis direction and linear eccentricity. ► For a parabola, the equation characterizing the focus degenerates to a linear one.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
J. Sánchez-Reyes,