
Journal for Geometry and Graphics 09 (2005), No. 1, 067075 Copyright Heldermann Verlag 2005 Blending curves Albert Wiltsche Institute of Geometry, University of Technology, Kopernikusgasse 24, 8010 Graz, Austria wiltsche@tugraz.at [Abstractpdf] Two arbitrarily given curves $k_1(t)$ and $k_2(t)$ are blended to a third curve $b(t)$ so that $b$ joins $k_1$ and $k_2$ in given points $A_1$ and $B_2$ $C^l$ and $C^m$continuously, respectively. In order to meet this objective we use polynomial functions $\alpha_{lm}(t)$ for the blending process. The Casteljau algorithm for curves is used in a special way to build the blended curve $b(t)$. Furthermore we can use our construction to generate interpolating spline curves. Keywords: Spline curves, Hermite interpolation, interpolation. MSC: 68U05 [ Fulltextpdf (436 KB)] for subscribers only. 