Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
441399 | Computer Aided Geometric Design | 2006 | 14 Pages |
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.
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Physical Sciences and Engineering
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Computer Graphics and Computer-Aided Design