Parameterization of rational translational surfaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2020 Spain English Publisher:Elsevier BVJournal:Theoretical Computer Science, volume 835, pages 156-167 (issn: 0304-3975,

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Authors: Sonia Pérez-Díaz; Li-Yong Shen;

doi: 10.1016/j.tcs.2017.08.005

handle: 10017/41572

Parameterization of rational translational surfaces

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Abstract

A rational translational surface is a typical modeling surface used in computer-aided design and the architecture industry. In this study, we determine whether a given algebraic surface implicitly defined as V is a rational translational surface or not. This problem is reduced to finding the rational parameterizations of two space curves. More important, our discussions are constructive, and thus if V is translational, we provide a parametric representation of V of the form P(t1,t2)=P1(t1)+P2(t2).

Agencia Estatal de Investigación

Country

Spain

Related Organizations

Chinese Academy of Sciences
China (People's Republic of)
University of Chinese Academy of Sciences
China (People's Republic of)
University of Alcalá
Spain

Keywords

rational parametrization, Matemáticas, Computational aspects of algebraic surfaces, Symbolic computation and algebraic computation, Translational surface, translation surface, symbolic computation, Rational parameterization, Reparameterization, Mathematics

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