Capítulo de Libro
Some Covariants Related to Steiner Surfaces
Autor/es | Aries, Franck
Briand, Emmanuel Bruchou, Claude |
Coordinador/Director | Jüttler, Bert
Piene, Ragni |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2008 |
Fecha de depósito | 2021-05-25 |
Publicado en |
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ISBN/ISSN | 978-3-540-72184-0 |
Resumen | A Steiner surface is the generic case of a quadratically parameterizable quartic
surface used in geometric modeling. This paper studies quadratic parameterizations of
surfaces under the angle of Classical Invariant Theory. ... A Steiner surface is the generic case of a quadratically parameterizable quartic surface used in geometric modeling. This paper studies quadratic parameterizations of surfaces under the angle of Classical Invariant Theory. Precisely, it exhibits a collection of covariants associated to projective quadratic parameterizations of surfaces, under the actions of linear reparameterization and linear transformations of the target space. Each of these covariants comes with a simple geometric interpretation. As an application, some of these covariants are used to produce explicit equations and inequalities defining the orbits of projective quadratic parameterizations of quartic surfaces. |
Agencias financiadoras | European Research Training Network RAAG (Real Algebraic and Analytic Geometry) |
Identificador del proyecto | HPRN-CT-2001-00271 |
Cita | Aries, F., Briand, E., y Bruchou, C. (2008). Some Covariants Related to Steiner Surfaces. En B. Jüttler, R. Piene (Ed.), Geometric Modeling and Algebraic Geometry (pp. 31-46). Berlin: Springer. |
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