Juan Gerardo Alcázar

Miroslav Lávicka

Jan Vrsek

Comput. Aided Geom. Des., July, 2023

Computing the topology of the image of a parametric planar curve under a birational transformation.

[BibT_eX]

[DOI]

Gema M. Diaz-Toca

Comput. Aided Geom. Des., May, 2023

A new method to detect projective equivalences and symmetries of rational 3D curves.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2023

2022

Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2022

Using μ-bases to reduce the degree in the computation of projective equivalences between rational curves in n-space.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2022

Efficient reparametrization into standard form and algorithmic characterization of rational ruled surfaces.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2022

2021

Exact and approximate similarities of non-necessarily rational planar, parametrized curves, using centers of gravity and inertia tensors.

[BibT_eX]

[DOI]

Emily Quintero

Int. J. Algebra Comput., 2021

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

[BibT_eX]

[DOI]

CoRR, 2021

Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2021

Computing the form of highest degree of the implicit equation of a rational surface.

[BibT_eX]

[DOI]

Sonia Pérez-Díaz

Adv. Appl. Math., 2021

2020

Affine equivalences, isometries and symmetries of ruled rational surfaces.

[BibT_eX]

[DOI]

Emily Quintero

J. Comput. Appl. Math., 2020

From theoretical to applied geometry - recent developments.

[BibT_eX]

[DOI]

Marjeta Knez

Martin Peternell

Comput. Aided Geom. Des., 2020

Recognizing algebraic affine rotation surfaces.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2020

Computing the topology of a plane or space hyperelliptic curve.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2020

2019

Symmetries and similarities of planar algebraic curves using harmonic polynomials.

[BibT_eX]

[DOI]

Miroslav Lávicka

Jan Vrsek

J. Comput. Appl. Math., 2019

The problem of detecting when two implicit plane algebraic curves are similar.

[BibT_eX]

[DOI]

Gema María Díaz-Toca

Int. J. Algebra Comput., 2019

2018

Similarity detection of rational space curves.

[BibT_eX]

[DOI]

J. Symb. Comput., 2018

The square-freeness of the offset equation to a rational planar curve, computed via resultants.

[BibT_eX]

[DOI]

Jorge Caravantes

Gema M. Diaz-Toca

Int. J. Algebra Comput., 2018

Computing the topology of a planar or space hyperelliptic curve.

[BibT_eX]

[DOI]

CoRR, 2018

Symmetries of canal surfaces and Dupin cyclides.

[BibT_eX]

[DOI]

Heidi E. I. Dahl

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.

[BibT_eX]

[DOI]

IEEE Trans. Vis. Comput. Graph., 2017

2016

Finding the Axis of Revolution of an Algebraic Surface of Revolution.

[BibT_eX]

[DOI]

IEEE Trans. Vis. Comput. Graph., 2016

Involutions of polynomially parametrized surfaces.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

Recognizing projections of algebraic curves.

[BibT_eX]

[DOI]

Graph. Model., 2016

Algebraic surfaces invariant under scissor shears.

[BibT_eX]

[DOI]

Graph. Model., 2016

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

[BibT_eX]

[DOI]

Jorge Caravantes

CoRR, 2016

Detecting Similarities of Rational Space Curves.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Jorge Caravantes

Gema M. Diaz-Toca

J. Comput. Appl. Math., 2015

Detecting similarity of rational space curves.

[BibT_eX]

[DOI]

CoRR, 2015

Symmetry detection of rational space curves.

[BibT_eX]

[DOI]

ACM Commun. Comput. Algebra, 2015

Iterative computation of the convex hull of a rational plane curve.

[BibT_eX]

[DOI]

ACM Commun. Comput. Algebra, 2015

Symmetry detection of rational space curves from their curvature and torsion.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2015

2014

Detecting similarity of rational plane curves.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2014

Efficient detection of symmetries of polynomially parametrized curves.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2014

Detecting symmetries of rational plane and space curves.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2014

2013

Topology of families of Algebraic Curves continuously depending on a parameter, and Applications.

[BibT_eX]

[DOI]

Int. J. Algebra Comput., 2013

Detecting Similarity of Plane Rational Curves.

[BibT_eX]

[DOI]

CoRR, 2013

2012

Local shape of generalized offsets to algebraic curves.

[BibT_eX]

[DOI]

J. Symb. Comput., 2012

Detecting Symmetries of Rational Plane Curves

[BibT_eX]

[DOI]

CoRR, 2012

On the shape of curves that are rational in polar coordinates.

[BibT_eX]

[DOI]

Gema María Díaz-Toca

Comput. Aided Geom. Des., 2012

Computing the shapes arising in a family of space rational curves depending on one parameter.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2012

2011

Topology of Families of Implicit Algebraic Surfaces Depending on a Parameter.

[BibT_eX]

[DOI]

Proceedings of the Computer Algebra in Scientific Computing - 13th International Workshop, 2011

2010

Topology of 2D and 3D rational curves.

[BibT_eX]

[DOI]

Gema María Díaz-Toca

Comput. Aided Geom. Des., 2010

On the different shapes arising in a family of plane rational curves depending on a parameter.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2010

The Shape of Conchoids to Plane Algebraic Curves.

[BibT_eX]

[DOI]

Proceedings of the Curves and Surfaces, 2010

2009

Good Local Behavior of Offsets to Implicit Algebraic Curves.

[BibT_eX]

[DOI]

Math. Comput. Sci., 2009

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

[BibT_eX]

[DOI]

CoRR, 2009

2008

Good local behavior of offsets to rational regular algebraic surfaces.

[BibT_eX]

[DOI]

J. Symb. Comput., 2008

Good global behavior of offsets to plane algebraic curves.

[BibT_eX]

[DOI]

J. Symb. Comput., 2008

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

[BibT_eX]

[DOI]

CoRR, 2008

2007

A delineability-based method for computing critical sets of algebraic surfaces.

[BibT_eX]

[DOI]

Josef Schicho

J. Rafael Sendra

J. Symb. Comput., 2007

Local shape of offsets to algebraic curves.

[BibT_eX]

[DOI]

J. Rafael Sendra

J. Symb. Comput., 2007

2005

Computation of the topology of real algebraic space curves.

[BibT_eX]

[DOI]