Abstract
The eccentricity of rational quadratic Bézier curves is formulated directly in terms of their control-points and weights. Based on this expression, we analyze the range and extreme values of the eccentricity of conic sections expressed in this form. We also provide an explicit expression for the eccentricity of the osculating conic of a rational Bézier curve of high degree.
Original language | English (US) |
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Pages (from-to) | 458-460 |
Number of pages | 3 |
Journal | Computer Aided Geometric Design |
Volume | 27 |
Issue number | 6 |
DOIs | |
State | Published - Aug 2010 |
Keywords
- CAGD
- Conic sections
- Eccentricity
- Rational Bézier curves
ASJC Scopus subject areas
- Modeling and Simulation
- Automotive Engineering
- Aerospace Engineering
- Computer Graphics and Computer-Aided Design