PH-spline approximation for Bézier curve and rendering offset.(English)Zbl 1084.65018

Summary: A $$G^1$$, $$C^1$$, $$C^2$$ Pythagorean hodograph (PH)-spline is employed as an approximation for a given Bézier curve within error bound and further renders offset which can be regarded as an approximate offset to the Bézier curve. The errors between PH-spline and the Bézier curve, the offset to PH-spline and the offset to the given Bézier curve are also estimated. A new algorithm for constructing offset to the Bézier curve is proposed.

MSC:

 65D17 Computer-aided design (modeling of curves and surfaces)
Full Text: