Parametrization of translational surfaces

preprint2014arXivOpen access

Abstract

The algebraic translational surface is a typical modeling surface in computer aided design and architecture industry. In this paper, we give a necessary and sufficient condition for that algebraic surface having a standard parametric representation and our proof is constructive. If the given algebraic surface is translational, then we can compute a standard parametric representation for the surface.

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Parametrization of translational surfaces | BZPEER