Método geométrico para la construcción de cónicas, con centro o foco dado, en la representación de Bézier
- Javier Sánchez-Reyes Fernández 1
- Rubén Dorado Vicente 1
- 1 Departamento de Mecánica Aplicada e Ingeniería de Proyectos. E.T.S. de Ingenieros Industriales de Ciudad Real. Universidad de Castilla-la Mancha, España.
Publisher: INGEGRAF
ISBN: 84-95475-39-1
Year of publication: 2004
Congress: Congreso Internacional de Ingeniería Gráfica (INGEGRAF) = International Congress INGEGRAF (16. 2004. Zaragoza / Huesca)
Type: Conference paper
Abstract
Concentric and confocal conics relate by linear and perspective maps, respectively. Using this property, we carry over the well-known quadratic Bézier construction of a circular arc to arbitrary conic segments of given centre C or focus F. First, choose arbitrarily the Bézier endpoints and assign them unitary weights. Second, pick the inner Bézier point on a certain line passing through C or F. The distance from C or F to this inner point determines the inner weight.