tex2html_wrap_inline23-Interpolation and Blending on Surfaces

Erich Hartmann

Abstract:
A method for curvature continuous (tex2html_wrap_inline23-) 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 tex2html_wrap_inline23-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 tex2html_wrap_inline23-interpolation/blending methods in tex2html_wrap_inline31.

Keywords: interpolation, blending, tex2html_wrap_inline23-continuity.

 figure13
Figure 1: tex2html_wrap_inline23-blending curves on a torus



Erich Hartmann
Wed Feb 3 10:38:58 MET 1999