Cissoid constructions of augmented rational ruled surfaces
| Autor: | J. Rafael Sendra, Martin Peternell, Juana Sendra |
|---|---|
| Přispěvatelé: | Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Surface (mathematics)
Pure mathematics Matemáticas 010102 general mathematics Aerospace Engineering Rationality Steiner surfaces Augmented surface 0102 computer and information sciences Ruled surface 01 natural sciences Computer Graphics and Computer-Aided Design Cissoid Symbolic computation 010201 computation theory & mathematics Modeling and Simulation Automotive Engineering Rational surface Affine transformation 0101 mathematics Parametrization Mathematics |
| Zdroj: | e_Buah Biblioteca Digital Universidad de Alcalá instname |
| DOI: | 10.1016/j.cagd.2017.12.001 |
| Popis: | J.R. Sendra is member of the Research Group ASYNACS (Ref.CT-CE2019/683) Given two real affine rational surfaces we derive a criterion for deciding the rationality of their cissoid. Furthermore, when one of the surfaces is augmented ruled and the other is either an augmented ruled or an augmented Steiner surface, we prove that the cissoid is rational. Furthermore, given rational parametrizations of the surfaces, we provide a rational parametrization of the cissoid. Ministerio de Economía y Competitividad |
| Databáze: | OpenAIRE |
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