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. © 2008 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Aries, F., Briand, E., & Bruchou, C. (2008). Some covariants related to steiner surfaces. In Geometric Modeling and Algebraic Geometry (pp. 31–46). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-72185-7_2
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