Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Generating curves and swept surfaces by blended circles
Computer Aided Geometric Design
| Hi-index | 0.00 |
For many applications, such as aesthetic designs or camera paths, nicely rounded, smooth, interpolatory paths -- free of cusps and abrupt hairpin turns -- are most important. Such curves can be obtained from globally optimized minimum variation curves (MVC) [Moreton and Séquin 1992], but at high computational costs. We present a blending scheme between circles that robustly produces equally good-looking G2-continuous curves through very challenging sets of interpolation points. One basic method produces such curves in the plane, on a sphere, and in 3D space.