Hermite subdivision schemes for smooth interpolation of functions, curves and surfaces
by
Nira Dyn
Tel Aviv University, Israel

Subdivision schemes for the smooth interpolation of a univariate functions, based on refinements of function values and derivative values at a set of equidistant points is presented. For bivariate functions the initial data of function and gradient values are at the vertices of a triangulation. The schemes considered are interpolatory in the sense that the limit function obtained by repeated refinements interpolates the initial Hermite data.

The univariate case can be used also for the design of curves given locations and tangents. For the case of surfaces we consider initial data of locations and normals and a non-functional subdivision scheme is presented.

Date received: January 11, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabp-23.