Sonia Pérez-Díaz

Orcid: 0000-0002-0174-5325

According to our database1, Sonia Pérez-Díaz authored at least 52 papers between 2001 and 2024.

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

Timeline

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Bibliography

2024
An effective algorithm for computing the asymptotes of an implicit curve.
J. Comput. Appl. Math., February, 2024

Globally certified G1 approximation of planar algebraic curves.
J. Comput. Appl. Math., January, 2024

2023
Detecting and parametrizing polynomial surfaces without base points.
Comput. Aided Geom. Des., December, 2023

Design and implementation of symbolic algorithms for the computation of generalized asymptotes.
Ann. Math. Artif. Intell., August, 2023

Some New Symbolic Algorithms for the Computation of Generalized Asymptotes.
Symmetry, 2023

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

Determining the asymptotic family of an implicit curve.
Comput. Aided Geom. Des., 2022

A simple formula for the computation of branches and asymptotes of curves and some applications.
Comput. Aided Geom. Des., 2022

2021
A Survey of the Representations of Rational Ruled Surfaces.
J. Syst. Sci. Complex., 2021

Computing the μ-bases of algebraic monoid curves and surfaces.
Comput. Graph., 2021

Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using <i>μ</i>-basis.
Comput. Aided Geom. Des., 2021

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

2020
Parameterization of rational translational surfaces.
Theor. Comput. Sci., 2020

A Symbolic-Numeric Approach for Parametrizing Ruled Surfaces.
J. Syst. Sci. Complex., 2020

A new approach for computing the asymptotes of a parametric curve.
J. Comput. Appl. Math., 2020

A Maple Package to Deal with the Birationality of Curves and Surfaces Parametrizations.
Proceedings of the Maple in Mathematics Education and Research - 4th Maple Conference, 2020

2019
The limit point and the T-function.
J. Symb. Comput., 2019

Representing rational curve segments and surface patches using semi-algebraic sets.
Comput. Aided Geom. Des., 2019

Numerical polynomial reparametrization of rational curves.
Comput. Aided Geom. Des., 2019

An in depth analysis, via resultants, of the singularities of a parametric curve.
Comput. Aided Geom. Des., 2019

Numerical Proper Reparametrization of Space Curves and Surfaces.
Comput. Aided Des., 2019

On the computation of singularities of parametrized ruled surfaces.
Adv. Appl. Math., 2019

2018
Analysis and construction of rational curve parametrizations with non-ordinary singularities.
Comput. Aided Geom. Des., 2018

2015
Computing the singularities of rational surfaces.
Math. Comput., 2015

Determination and (re)parametrization of rational developable surfaces.
J. Syst. Sci. Complex., 2015

Numerical proper reparametrization of parametric plane curves.
J. Comput. Appl. Math., 2015

A connection between birational automorphisms of the plane and linear systems of curves.
J. Comput. Appl. Math., 2015

Characterizing the finiteness of the Hausdorff distance between two algebraic curves.
J. Comput. Appl. Math., 2015

Asymptotes of space curves.
J. Comput. Appl. Math., 2015

2014
Characterization of rational ruled surfaces.
J. Symb. Comput., 2014

Asymptotic behavior of an implicit algebraic plane curve.
Comput. Aided Geom. Des., 2014

Asymptotes and perfect curves.
Comput. Aided Geom. Des., 2014

Parametrization of translational surfaces.
Proceedings of the Symbolic-Numeric Computation 2014, 2014

2013
Behavior of the Fiber and the Base Points of Parametrizations Under Projections.
Math. Comput. Sci., 2013

Numerical Reparametrization of Rational Parametric Plane Curves
CoRR, 2013

A partial solution to the problem of proper reparametrization for rational surfaces.
Comput. Aided Geom. Des., 2013

2010
A First Approach towards Normal Parametrizations of Algebraic Surfaces.
Int. J. Algebra Comput., 2010

Approximate parametrization of plane algebraic curves by linear systems of curves.
Comput. Aided Geom. Des., 2010

2009
Parametrization of ε-rational curves: extended abstract.
Proceedings of the Symbolic Numeric Computation, 2009

2008
A univariate resultant-based implicitization algorithm for surfaces.
J. Symb. Comput., 2008

2007
Computation of the singularities of parametric plane curves.
J. Symb. Comput., 2007

Finite piecewise polynomial parametrization of plane rational algebraic curves.
Appl. Algebra Eng. Commun. Comput., 2007

Inversion, Degree and Reparametrization for Rational Surfaces.
Proceedings of the Mathematics of Surfaces XII, 2007

2006
Distance bounds of <i>epsilon</i>-points on hypersurfaces.
Theor. Comput. Sci., 2006

On the problem of proper reparametrization for rational curves and surfaces.
Comput. Aided Geom. Des., 2006

2005
Parametrization of approximate algebraic surfaces by lines .
Comput. Aided Geom. Des., 2005

Partial degree formulae for rational algebraic surfaces.
Proceedings of the Symbolic and Algebraic Computation, 2005

The Challenge of Approximately Parameterizing Algebraic Curves and Surfaces.
Proceedings of the Algorithmic Algebra and Logic. Proceedings of the A3L 2005, 2005

2004
Parametrization of approximate algebraic curves by lines.
Theor. Comput. Sci., 2004

2003
Computing all parametric solutions for blending parametric surfaces.
J. Symb. Comput., 2003

2002
Properness and Inversion of Rational Parametrizations of Surfaces.
Appl. Algebra Eng. Commun. Comput., 2002

2001
Parametric G1-Blending of Several Surfaces.
Proceedings of the Computer Algebra in Scientific Computing, 2001


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