PLANAR OSCULATING ARC SPLINES

Authors
MEEK DS WALTON DJ
Citation
Ds. Meek et Dj. Walton, PLANAR OSCULATING ARC SPLINES, Computer aided geometric design, 13(7), 1996, pp. 653-671
Citations number
7
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
13
Issue
7
Year of publication
1996
Pages
653 - 671
Database
ISI
SICI code
0167-8396(1996)13:7<653:POAS>2.0.ZU;2-P
Abstract
A new method for drawing planar osculating are splines, G(1) curves ma de by joining circular arcs, is described. The are splines interpolate , match unit tangents, and match curvatures at the interpolation point s. Are splines produced by this new method match more general data, an d thus give a more controlled curve, than are splines produced from bi arcs. The accuracy of are splines produced by the new method is analyz ed and compared to the accuracy of are splines produced from biarcs wh en both are approximating smooth curves. When both have the same numbe r of circular arcs, the new method produces an are spline with a small er error than the are spline produced from biarcs.