Geometric recipes for constructing Bezier conics of given centre or focus
Concentric and confocal conics relate by linear and perspective maps, respectively. Using this property, we carry over the well-known quadratic Bezier construction of a circular arc to arbitrary conic segments of given centre C or focus F. First, choose arbitrarily the Bezier endpoints and assign them unitary weights. Second, pick the inner Bezier point on a certain line passing through C or F. The distance from C or F to this inner point determines the inner weight. (C) 2003 Elsevier B.V. All rights reserved.
bezier conic centre focus perspective map