4 citations · 6 across the 5 of their papers we have counts for
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Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design
Juan Gerardo Alcázar, Georg Muntingh
We introduce a characterization for affine equivalence of two surfaces of translation defined by either rational or meromorphic generators. In turn, this induces a similar characte…
Affine differential geometry and affine rotation surfaces: algebraic surfaces invariant under non-Euclidean affine rotations
Juan Gerardo Alcázar, Ron Goldman
Affine rotation surfaces are a generalization of the well-known surfaces of revolution. Affine rotation surfaces arise naturally within the framework of affine differential geometr…
Recognizing projections of rational curves
Juan Gerardo Alcázar, Carlos Hermoso
Given two rational, properly parametrized space curves and , where $\CCC_2$ is contained in some plane , we provide an algorithm to check whethe…
On the square-freeness of the offset equation to a rational planar curve
Juan Gerardo Alcázar, Jorge Caravantes, Gema M. Diaz-Toca
It is well known that an implicit equation of the offset to a rational planar curve can be computed by removing the extraneous components of the resultant of two certain polynomial…