Exact Parameterization of Convolution Surfaces and Rational Surfaces with Linear Normals

Abstract

It is shown that curves and surfaces with a linear field of normal vectors are dual to graphs of univariate and bivariate polynomials. We discuss the geometric properties of these curves and surfaces. In particular, it is shown that the convolution with general rational curves and surfaces yields again rational curves and surfaces. 

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Cite this paper

@inproceedings{Sampoli2005ExactPO, title={Exact Parameterization of Convolution Surfaces and Rational Surfaces with Linear Normals}, author={Maria Lucia Sampoli and Martin Peternell and Bert J{\"u}ttler}, year={2005} }