Juan Gerardo Alcázar

Orcid: 0000-0002-1665-9710

According to our database1, Juan Gerardo Alcázar authored at least 54 papers between 2005 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Symmetries of planar algebraic vector fields.
Comput. Aided Geom. Des., 2024

2023
Computing symmetries of implicit algebraic surfaces.
Comput. Aided Geom. Des., July, 2023

Computing the topology of the image of a parametric planar curve under a birational transformation.
Comput. Aided Geom. Des., May, 2023

A new method to detect projective equivalences and symmetries of rational 3D curves.
J. Comput. Appl. Math., 2023

2022
Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design.
J. Comput. Appl. Math., 2022

Using μ-bases to reduce the degree in the computation of projective equivalences between rational curves in n-space.
J. Comput. Appl. Math., 2022

Efficient reparametrization into standard form and algorithmic characterization of rational ruled surfaces.
Comput. Aided Geom. Des., 2022

2021
Exact and approximate similarities of non-necessarily rational planar, parametrized curves, using centers of gravity and inertia tensors.
Int. J. Algebra Comput., 2021

Affine equivalences of rational surfaces of translation, and applications to rational minimal surfaces.
CoRR, 2021

Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves.
Comput. Aided Geom. Des., 2021

Computing the form of highest degree of the implicit equation of a rational surface.
Adv. Appl. Math., 2021

2020
Affine equivalences, isometries and symmetries of ruled rational surfaces.
J. Comput. Appl. Math., 2020

From theoretical to applied geometry - recent developments.
Comput. Aided Geom. Des., 2020

Recognizing algebraic affine rotation surfaces.
Comput. Aided Geom. Des., 2020

Computing the topology of a plane or space hyperelliptic curve.
Comput. Aided Geom. Des., 2020

2019
Symmetries and similarities of planar algebraic curves using harmonic polynomials.
J. Comput. Appl. Math., 2019

The problem of detecting when two implicit plane algebraic curves are similar.
Int. J. Algebra Comput., 2019

2018
Similarity detection of rational space curves.
J. Symb. Comput., 2018

The square-freeness of the offset equation to a rational planar curve, computed via resultants.
Int. J. Algebra Comput., 2018

Computing the topology of a planar or space hyperelliptic curve.
CoRR, 2018

Symmetries of canal surfaces and Dupin cyclides.
Comput. Aided Geom. Des., 2018

2017
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., 2017

2016
Finding the Axis of Revolution of an Algebraic Surface of Revolution.
IEEE Trans. Vis. Comput. Graph., 2016

Involutions of polynomially parametrized surfaces.
J. Comput. Appl. Math., 2016

Recognizing projections of algebraic curves.
Graph. Model., 2016

Algebraic surfaces invariant under scissor shears.
Graph. Model., 2016

On the computation of the straight lines contained in a rational surface.
CoRR, 2016

Detecting Similarities of Rational Space Curves.
Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016

2015
A new method to compute the singularities of offsets to rational plane curves.
J. Comput. Appl. Math., 2015

Detecting similarity of rational space curves.
CoRR, 2015

Symmetry detection of rational space curves.
ACM Commun. Comput. Algebra, 2015

Iterative computation of the convex hull of a rational plane curve.
ACM Commun. Comput. Algebra, 2015

Symmetry detection of rational space curves from their curvature and torsion.
Comput. Aided Geom. Des., 2015

2014
Detecting similarity of rational plane curves.
J. Comput. Appl. Math., 2014

Efficient detection of symmetries of polynomially parametrized curves.
J. Comput. Appl. Math., 2014

Detecting symmetries of rational plane and space curves.
Comput. Aided Geom. Des., 2014

2013
Topology of families of Algebraic Curves continuously depending on a parameter, and Applications.
Int. J. Algebra Comput., 2013

Detecting Similarity of Plane Rational Curves.
CoRR, 2013

2012
Local shape of generalized offsets to algebraic curves.
J. Symb. Comput., 2012

Detecting Symmetries of Rational Plane Curves
CoRR, 2012

On the shape of curves that are rational in polar coordinates.
Comput. Aided Geom. Des., 2012

Computing the shapes arising in a family of space rational curves depending on one parameter.
Comput. Aided Geom. Des., 2012

2011
Topology of Families of Implicit Algebraic Surfaces Depending on a Parameter.
Proceedings of the Computer Algebra in Scientific Computing - 13th International Workshop, 2011

2010
Topology of 2D and 3D rational curves.
Comput. Aided Geom. Des., 2010

On the different shapes arising in a family of plane rational curves depending on a parameter.
Comput. Aided Geom. Des., 2010

The Shape of Conchoids to Plane Algebraic Curves.
Proceedings of the Curves and Surfaces, 2010

2009
Good Local Behavior of Offsets to Implicit Algebraic Curves.
Math. Comput. Sci., 2009

On the Different Shapes Arising in a Family of Rational Curves Depending on a Parameter
CoRR, 2009

2008
Good local behavior of offsets to rational regular algebraic surfaces.
J. Symb. Comput., 2008

Good global behavior of offsets to plane algebraic curves.
J. Symb. Comput., 2008

Analyzing the Topology Types arising in a Family of Algebraic Curves Depending On Two Parameters
CoRR, 2008

2007
A delineability-based method for computing critical sets of algebraic surfaces.
J. Symb. Comput., 2007

Local shape of offsets to algebraic curves.
J. Symb. Comput., 2007

2005
Computation of the topology of real algebraic space curves.
J. Symb. Comput., 2005


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