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arxiv: 1405.2533 · v1 · pith:JUGR7BO7new · submitted 2014-05-11 · 🧮 math.AG

Parametrization of translational surfaces

classification 🧮 math.AG
keywords surfacealgebraictranslationalparametricrepresentationstandardaidedarchitecture
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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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