The eccentricity of conic sections formulated as rational Bézier quadratics. (English) Zbl 1210.65048
Summary: 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.
MSC:
| 65D17 | Computer-aided design (modeling of curves and surfaces) |
References:
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