$G^n$-blending with Rolling Ball Contact Curves

Erich Hartmann
Darmstadt University of Technology
Dept. of Mathematics
Schlossgartenstrasse 7, 64289 Darmstadt, Germany
ehartmann@mathematik.tu-darmstadt.de

Abstract:

A blending method for surfaces is introduced which produces pencils of parametrically defined blending surfaces which have $G^n$-continuous contact to the base surfaces along curves determined by a rolling ball of constant or variable radius. The performance is numerical.

Figure 1: $G^2$-blending with a) constant b) variable radius rolling ball contact curves