Article ID Journal Published Year Pages File Type
441399 Computer Aided Geometric Design 2006 14 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design