Simple determination via complex arithmetic of geometric characteristics of Bézier conics
2011 - J. Sanchez-Reyes
Computer Aided Geometric Design. 28, 345-348 (2011)
We show how to compute in a straightforward manner the geometric characteristics of a conic segment in rational Bezier 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.