Erich Hartmann
Abstract:
A method for curvature continuous (-) interpolation of an arbitrary sequence
of points on a surface (implicit or parametric) with prescribed tangent and
geodesic curvature at every point is introduced.
The method can also be used for -blending of curves on surfaces.
The interpolation/blending curve is the intersection curve of the given surface
with a functional spline (implicit) surface. For the construction of blending
curves the necessary formulas for the curvature of surface curves are
derived. Intermediate results are -interpolation/blending methods in
.
Keywords: interpolation, blending, -continuity.
Figure 1: -blending curves on a torus