×

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)
PDF BibTeX XML Cite
Full Text: Link Link