Involutions of polynomially parametrized surfaces

We provide an algorithm for detecting the involutions leaving a surface defined by a polynomial parametrization invariant. As a consequence, the symmetry axes, symmetry planes and symmetry center of the surface, if any, can be determined directly from the parametrization, without computing or making...

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Veröffentlicht in:	Journal of computational and applied mathematics 2016-03, Vol.294, p.23-38
Hauptverfasser:	Alcázar, Juan Gerardo, Hermoso, Carlos
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic surfaces Algorithms Computation Geometric invariants Invariants Involutions Mathematical analysis Parametrization Polynomial parametrizations Polynomials Representations Symmetries of algebraic surfaces Symmetry Symmetry detection
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