Abstract:

An important problem in CAGD is to pass a smooth curve through a set of two or three dimensional points. Hermite scheme is used widely [in CAGD. But the shape of the interpolant largely depends on the tangent vectors as well as the parametric knots, and the shape modifying can not be implemented interactively in term of geometry. A method that combines interactive techniques with interpolation methods is presented to allow user intervention. Rational interpolation curves are used as local interpolants, and an approach is discussed for exploiting shape parameters.

Key words: rational interpolation, interactive techniques, geometric modification