Rational surfaces with linear normals and their convolutions with rational surfaces

It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors are dual to graphs bivariate polynomials (or rational functions). We discuss the geometric properties of these surfaces. In particular, using the dual representation it is shown that the convolution with general rational surfaces yields again rational surfaces. Similar results hold in the case of curves. 2005 Elsevier B.V. All rights reserved.

• Type: Journal
• Year: 2006
• Where: CAGD
• Authors: Maria Lucia Sampoli, Martin Peternell, Bert Jüttler
• Keywords: CAGD 2006, Rational Functions, Rational Surfaces Yields, Surfaces