Computation of the topology of real algebraic space curves. - Juan Gerardo Alcázar; J. Rafael Sendra (J. Symb. Comput., 2005)

Local shape of offsets to algebraic curves. - Juan Gerardo Alcázar; J. Rafael Sendra (J. Symb. Comput., 2007)

A delineability-based method for computing critical sets of algebraic surfaces. - Juan Gerardo Alcázar; Josef Schicho; J. Rafael Sendra (J. Symb. Comput., 2007)

Analyzing the Topology Types arising in a Family of Algebraic Curves Depending On Two Parameters - Juan Gerardo Alcázar (CoRR, 2008)

Good global behavior of offsets to plane algebraic curves. - Juan Gerardo Alcázar (J. Symb. Comput., 2008)

Good local behavior of offsets to rational regular algebraic surfaces. - Juan Gerardo Alcázar (J. Symb. Comput., 2008)

On the Different Shapes Arising in a Family of Rational Curves Depending on a Parameter - Juan Gerardo Alcázar (CoRR, 2009)

Good Local Behavior of Offsets to Implicit Algebraic Curves. - Juan Gerardo Alcázar (Math. Comput. Sci., 2009)

The Shape of Conchoids to Plane Algebraic Curves. - Juan Gerardo Alcázar (Curves and Surfaces, 2010)

On the different shapes arising in a family of plane rational curves depending on a parameter. - Juan Gerardo Alcázar (Comput. Aided Geom. Des., 2010)

Topology of 2D and 3D rational curves. - Juan Gerardo Alcázar; Gema María Díaz-Toca (Comput. Aided Geom. Des., 2010)

Topology of Families of Implicit Algebraic Surfaces Depending on a Parameter. - Juan Gerardo Alcázar (CASC, 2011)

Computing the shapes arising in a family of space rational curves depending on one parameter. - Juan Gerardo Alcázar (Comput. Aided Geom. Des., 2012)

On the shape of curves that are rational in polar coordinates. - Juan Gerardo Alcázar; Gema María Díaz-Toca (Comput. Aided Geom. Des., 2012)

Detecting Symmetries of Rational Plane Curves - Juan Gerardo Alcázar; Carlos Hermoso (CoRR, 2012)

Local shape of generalized offsets to algebraic curves. - Juan Gerardo Alcázar (J. Symb. Comput., 2012)

Detecting Similarity of Plane Rational Curves. - Juan Gerardo Alcázar; Carlos Hermoso; Georg Muntingh (CoRR, 2013)

Topology of families of Algebraic Curves continuously depending on a parameter, and Applications. - Juan Gerardo Alcázar (Int. J. Algebra Comput., 2013)

Detecting symmetries of rational plane and space curves. - Juan Gerardo Alcázar; Carlos Hermoso; Georg Muntingh (Comput. Aided Geom. Des., 2014)

Efficient detection of symmetries of polynomially parametrized curves. - Juan Gerardo Alcázar (J. Comput. Appl. Math., 2014)

Detecting similarity of rational plane curves. - Juan Gerardo Alcázar; Carlos Hermoso; Georg Muntingh (J. Comput. Appl. Math., 2014)

Symmetry detection of rational space curves from their curvature and torsion. - Juan Gerardo Alcázar; Carlos Hermoso; Georg Muntingh (Comput. Aided Geom. Des., 2015)

Iterative computation of the convex hull of a rational plane curve. - Juan Gerardo Alcázar; Carlos Hermoso; Jorge Caravantes; Gema M. Diaz-Toca (ACM Commun. Comput. Algebra, 2015)

Symmetry detection of rational space curves. - Juan Gerardo Alcázar; Carlos Hermoso; Georg Muntingh (ACM Commun. Comput. Algebra, 2015)

Detecting similarity of rational space curves. - Juan Gerardo Alcázar; Carlos Hermoso; Georg Muntingh (CoRR, 2015)

A new method to compute the singularities of offsets to rational plane curves. - Juan Gerardo Alcázar; Jorge Caravantes; Gema M. Diaz-Toca (J. Comput. Appl. Math., 2015)

Detecting Similarities of Rational Space Curves. - Juan Gerardo Alcázar; Carlos Hermoso; Georg Muntingh (ISSAC, 2016)

On the computation of the straight lines contained in a rational surface. - Juan Gerardo Alcázar; Jorge Caravantes (CoRR, 2016)

Algebraic surfaces invariant under scissor shears. - Juan Gerardo Alcázar; Ron Goldman 002; Carlos Hermoso (Graph. Model., 2016)

Recognizing projections of algebraic curves. - Juan Gerardo Alcázar; Carlos Hermoso (Graph. Model., 2016)

Involutions of polynomially parametrized surfaces. - Juan Gerardo Alcázar; Carlos Hermoso (J. Comput. Appl. Math., 2016)

Finding the Axis of Revolution of an Algebraic Surface of Revolution. - Juan Gerardo Alcázar; Ron Goldman 002 (IEEE Trans. Vis. Comput. Graph., 2016)

Detecting When an Implicit Equation or a Rational Parametrization Defines a Conical or Cylindrical Surface, or a Surface of Revolution. - Juan Gerardo Alcázar; Ron Goldman 002 (IEEE Trans. Vis. Comput. Graph., 2017)

Symmetries of canal surfaces and Dupin cyclides. - Juan Gerardo Alcázar; Heidi E. I. Dahl; Georg Muntingh (Comput. Aided Geom. Des., 2018)

Computing the topology of a planar or space hyperelliptic curve. - Juan Gerardo Alcázar; Jorge Caravantes; Gema M. Diaz-Toca; Elias P. Tsigaridas (CoRR, 2018)

The square-freeness of the offset equation to a rational planar curve, computed via resultants. - Juan Gerardo Alcázar; Jorge Caravantes; Gema M. Diaz-Toca (Int. J. Algebra Comput., 2018)

Similarity detection of rational space curves. - Juan Gerardo Alcázar; Carlos Hermoso; Georg Muntingh (J. Symb. Comput., 2018)

The problem of detecting when two implicit plane algebraic curves are similar. - Juan Gerardo Alcázar; Gema María Díaz-Toca; Carlos Hermoso (Int. J. Algebra Comput., 2019)

Symmetries and similarities of planar algebraic curves using harmonic polynomials. - Juan Gerardo Alcázar; Miroslav Lávicka; Jan Vrsek (J. Comput. Appl. Math., 2019)

Computing the topology of a plane or space hyperelliptic curve. - Juan Gerardo Alcázar; Jorge Caravantes; Gema M. Diaz-Toca; Elias P. Tsigaridas (Comput. Aided Geom. Des., 2020)

Recognizing algebraic affine rotation surfaces. - Juan Gerardo Alcázar; Ron Goldman 002 (Comput. Aided Geom. Des., 2020)

From theoretical to applied geometry - recent developments. - Marjeta Knez; Martin Peternell; Juan Gerardo Alcázar (Comput. Aided Geom. Des., 2020)

Affine equivalences, isometries and symmetries of ruled rational surfaces. - Juan Gerardo Alcázar; Emily Quintero (J. Comput. Appl. Math., 2020)

Computing the form of highest degree of the implicit equation of a rational surface. - Juan Gerardo Alcázar; Sonia Pérez-Díaz (Adv. Appl. Math., 2021)

Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves. - Juan Gerardo Alcázar; Carlos Hermoso (Comput. Aided Geom. Des., 2021)

Affine equivalences of rational surfaces of translation, and applications to rational minimal surfaces. - Juan Gerardo Alcázar; Georg Muntingh (CoRR, 2021)

Exact and approximate similarities of non-necessarily rational planar, parametrized curves, using centers of gravity and inertia tensors. - Juan Gerardo Alcázar; Emily Quintero (Int. J. Algebra Comput., 2021)

Efficient reparametrization into standard form and algorithmic characterization of rational ruled surfaces. - Juan Gerardo Alcázar; Carlos Hermoso (Comput. Aided Geom. Des., 2022)

Using μ-bases to reduce the degree in the computation of projective equivalences between rational curves in n-space. - Juan Gerardo Alcázar; Carlos Hermoso; Sonia Pérez-Díaz; Li-Yong Shen (J. Comput. Appl. Math., 2022)

Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design. - Juan Gerardo Alcázar; Georg Muntingh (J. Comput. Appl. Math., 2022)

A new method to detect projective equivalences and symmetries of rational 3D curves. - Ugur Gözütok; Hüsnü Anil Çoban; Yasemin Sagiroglu; Juan Gerardo Alcázar (J. Comput. Appl. Math., 2023)

Computing the topology of the image of a parametric planar curve under a birational transformation. - Juan Gerardo Alcázar; Gema M. Diaz-Toca (Comput. Aided Geom. Des., 2023)

Computing symmetries of implicit algebraic surfaces. - Juan Gerardo Alcázar; Miroslav Lávicka; Jan Vrsek (Comput. Aided Geom. Des., 2023)

Symmetries of planar algebraic vector fields. - Juan Gerardo Alcázar; Miroslav Lávicka; Jan Vrsek (Comput. Aided Geom. Des., 2024)

Computation of symmetries of rational surfaces. - Juan Gerardo Alcázar; Carlos Hermoso; Hüsnü Anil Çoban; Ugur Gözütok (CoRR, 2024)

Rotational symmetries of 3D point clouds using the covariance matrix and higher-order tensors. - Juan Gerardo Alcázar; Michal Bizzarri; Miroslav Lávicka; Jan Vrsek (Appl. Math. Lett., 2025)