Sciweavers

Share
CAD
2006
Springer

Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics

10 years 1 months ago
Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics
This paper compares two techniques for the approximation of the offsets to a given planar curve. The two methods are based on approximate conversion of the planar curve into circular splines and Pythagorean hodograph (PH) splines, respectively. The circular splines are obtained using a novel variant of biarc interpolation, while the PH splines are constructed via Hermite interpolation of C1 boundary data. We analyze the approximation order of both conversion procedures. As a new result, the C1 Hermite interpolation with PH quintics is shown to have approximation order 4 with respect to the original curve, and 3 with respect to its offsets. In addition, we study the resulting data volume, both for the original curve and for its offsets. It is shown that PH splines outperform the circular splines for increasing accuracy, due to the higher approximation order.
Zbynek Sír, Robert Feichtinger, Bert Jü
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where CAD
Authors Zbynek Sír, Robert Feichtinger, Bert Jüttler
Comments (0)
books