Juan Gerardo Alcázar

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 35

Top Topics

Invariant Representations

Recent Developments

Top Venues

Comput. Aided Geom. Des.

J. Comput. Appl. Math.

Int. J. Algebra Comput.

Publications

Juan Gerardo Alcázar, Miroslav Lávicka, Jan Vrsek
Symmetries of planar algebraic vector fields. Comput. Aided Geom. Des. 111 (2024)
Juan Gerardo Alcázar, Miroslav Lávicka, Jan Vrsek
Computing symmetries of implicit algebraic surfaces. Comput. Aided Geom. Des. 104 (2023)
Juan Gerardo Alcázar, Gema M. Diaz-Toca
Computing the topology of the image of a parametric planar curve under a birational transformation. Comput. Aided Geom. Des. 102 (2023)
Ugur Gözütok, Hüsnü Anil Çoban, Yasemin Sagiroglu, Juan Gerardo Alcázar
A new method to detect projective equivalences and symmetries of rational 3D curves. J. Comput. Appl. Math. 419 (2023)
Juan Gerardo Alcázar, Carlos Hermoso, Sonia Pérez-Díaz, Li-Yong Shen
Using μ-bases to reduce the degree in the computation of projective equivalences between rational curves in n-space. J. Comput. Appl. Math. 416 (2022)
Juan Gerardo Alcázar, Georg Muntingh
Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design. J. Comput. Appl. Math. 411 (2022)
Juan Gerardo Alcázar, Carlos Hermoso
Efficient reparametrization into standard form and algorithmic characterization of rational ruled surfaces. Comput. Aided Geom. Des. 96 (2022)
Juan Gerardo Alcázar, Carlos Hermoso
Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves. Comput. Aided Geom. Des. 91 (2021)
Juan Gerardo Alcázar, Emily Quintero
Exact and approximate similarities of non-necessarily rational planar, parametrized curves, using centers of gravity and inertia tensors. Int. J. Algebra Comput. 31 (4) (2021)
Juan Gerardo Alcázar, Georg Muntingh
Affine equivalences of rational surfaces of translation, and applications to rational minimal surfaces. CoRR (2021)
Juan Gerardo Alcázar, Sonia Pérez-Díaz
Computing the form of highest degree of the implicit equation of a rational surface. Adv. Appl. Math. 123 (2021)
Juan Gerardo Alcázar, Emily Quintero
Affine equivalences, isometries and symmetries of ruled rational surfaces. J. Comput. Appl. Math. 364 (2020)
Marjeta Knez, Martin Peternell, Juan Gerardo Alcázar
From theoretical to applied geometry - recent developments. Comput. Aided Geom. Des. 81 (2020)
Juan Gerardo Alcázar, Ron Goldman
Recognizing algebraic affine rotation surfaces. Comput. Aided Geom. Des. 81 (2020)
Juan Gerardo Alcázar, Jorge Caravantes, Gema M. Diaz-Toca, Elias P. Tsigaridas
Computing the topology of a plane or space hyperelliptic curve. Comput. Aided Geom. Des. 78 (2020)
Juan Gerardo Alcázar, Gema María Díaz-Toca, Carlos Hermoso
The problem of detecting when two implicit plane algebraic curves are similar. Int. J. Algebra Comput. 29 (5) (2019)
Juan Gerardo Alcázar, Miroslav Lávicka, Jan Vrsek
Symmetries and similarities of planar algebraic curves using harmonic polynomials. J. Comput. Appl. Math. 357 (2019)
Juan Gerardo Alcázar, Miroslav Lávicka, Jan Vrsek
Symmetries and similarities of planar algebraic curves using harmonic polynomials. CoRR (2018)
Juan Gerardo Alcázar, Jorge Caravantes, Gema M. Diaz-Toca, Elias P. Tsigaridas
Computing the topology of a planar or space hyperelliptic curve. CoRR (2018)
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
Similarity detection of rational space curves. J. Symb. Comput. 85 (2018)
Juan Gerardo Alcázar, Heidi E. I. Dahl, Georg Muntingh
Symmetries of canal surfaces and Dupin cyclides. Comput. Aided Geom. Des. 59 (2018)
Juan Gerardo Alcázar, Jorge Caravantes, Gema M. Diaz-Toca
The square-freeness of the offset equation to a rational planar curve, computed via resultants. Int. J. Algebra Comput. 28 (3) (2018)
Juan Gerardo Alcázar, Ron Goldman
Detecting When an Implicit Equation or a Rational Parametrization Defines a Conical or Cylindrical Surface, or a Surface of Revolution. IEEE Trans. Vis. Comput. Graph. 23 (12) (2017)
Juan Gerardo Alcázar, Ron Goldman
Finding the Axis of Revolution of an Algebraic Surface of Revolution. IEEE Trans. Vis. Comput. Graph. 22 (9) (2016)
Juan Gerardo Alcázar, Jorge Caravantes
On the computation of the straight lines contained in a rational surface. CoRR (2016)
Juan Gerardo Alcázar, Heidi E. I. Dahl, Georg Muntingh
Symmetries of Canal Surfaces and Dupin Cyclides. CoRR (2016)
Juan Gerardo Alcázar, Carlos Hermoso
Involutions of polynomially parametrized surfaces. J. Comput. Appl. Math. 294 (2016)
Juan Gerardo Alcázar, Carlos Hermoso
Recognizing projections of algebraic curves. Graph. Model. 87 (2016)
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
Detecting Similarities of Rational Space Curves. ISSAC (2016)
Juan Gerardo Alcázar, Ron Goldman, Carlos Hermoso
Algebraic surfaces invariant under scissor shears. Graph. Model. 87 (2016)
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
Detecting similarity of rational space curves. CoRR (2015)
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
Symmetry detection of rational space curves from their curvature and torsion. Comput. Aided Geom. Des. 33 (2015)
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
Symmetry detection of rational space curves. ACM Commun. Comput. Algebra 49 (2) (2015)
Juan Gerardo Alcázar, Carlos Hermoso, Jorge Caravantes, Gema M. Diaz-Toca
Iterative computation of the convex hull of a rational plane curve. ACM Commun. Comput. Algebra 49 (2) (2015)
Juan Gerardo Alcázar, Jorge Caravantes, Gema M. Diaz-Toca
A new method to compute the singularities of offsets to rational plane curves. J. Comput. Appl. Math. 290 (2015)
Juan Gerardo Alcázar
Efficient detection of symmetries of polynomially parametrized curves. J. Comput. Appl. Math. 255 (2014)
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
Detecting symmetries of rational plane and space curves. Comput. Aided Geom. Des. 31 (3-4) (2014)
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
Detecting similarity of rational plane curves. J. Comput. Appl. Math. 269 (2014)
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
Detecting Similarity of Plane Rational Curves. CoRR (2013)
Juan Gerardo Alcázar
Topology of families of Algebraic Curves continuously depending on a parameter, and Applications. Int. J. Algebra Comput. 23 (7) (2013)
Juan Gerardo Alcázar, Gema María Díaz-Toca
On the shape of curves that are rational in polar coordinates. Comput. Aided Geom. Des. 29 (9) (2012)
Juan Gerardo Alcázar, Gema María Díaz-Toca
On the Shape of Curves that are Rational in Polar Coordinates CoRR (2012)
Juan Gerardo Alcázar
Computing the shapes arising in a family of space rational curves depending on one parameter. Comput. Aided Geom. Des. 29 (6) (2012)
Juan Gerardo Alcázar, Carlos Hermoso
Detecting Symmetries of Rational Plane Curves CoRR (2012)
Juan Gerardo Alcázar
Local shape of generalized offsets to algebraic curves. J. Symb. Comput. 47 (3) (2012)
Juan Gerardo Alcázar
Topology of Families of Implicit Algebraic Surfaces Depending on a Parameter. CASC (2011)
Juan Gerardo Alcázar, Gema María Díaz-Toca
Topology of 2D and 3D rational curves. Comput. Aided Geom. Des. 27 (7) (2010)
Juan Gerardo Alcázar
On the different shapes arising in a family of plane rational curves depending on a parameter. Comput. Aided Geom. Des. 27 (2) (2010)
Juan Gerardo Alcázar
The Shape of Conchoids to Plane Algebraic Curves. Curves and Surfaces (2010)
Juan Gerardo Alcázar, Gema M. Diaz-Toca
Topology of 2D and 3D Rational Curves CoRR (2009)
Juan Gerardo Alcázar
Local Shape of Generalized Offsets to Algebraic Curves CoRR (2009)
Juan Gerardo Alcázar
Good Local Behavior of Offsets to Implicit Algebraic Curves. Math. Comput. Sci. 2 (4) (2009)
Juan Gerardo Alcázar
On the Different Shapes Arising in a Family of Rational Curves Depending on a Parameter CoRR (2009)
Juan Gerardo Alcázar
Good global behavior of offsets to plane algebraic curves. J. Symb. Comput. 43 (9) (2008)
Juan Gerardo Alcázar
Analyzing the Topology Types arising in a Family of Algebraic Curves Depending On Two Parameters CoRR (2008)
Juan Gerardo Alcázar
Good local behavior of offsets to rational regular algebraic surfaces. J. Symb. Comput. 43 (12) (2008)
Juan Gerardo Alcázar, Josef Schicho, J. Rafael Sendra
A delineability-based method for computing critical sets of algebraic surfaces. J. Symb. Comput. 42 (6) (2007)
Juan Gerardo Alcázar, J. Rafael Sendra
Local shape of offsets to algebraic curves. J. Symb. Comput. 42 (3) (2007)
Juan Gerardo Alcázar, J. Rafael Sendra
Computation of the topology of real algebraic space curves. J. Symb. Comput. 39 (6) (2005)