Gema María Díaz-Toca

Orcid: 0000-0001-8652-4312

According to our database1, Gema María Díaz-Toca authored at least 29 papers between 2001 and 2023.

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Bibliography

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

Avoiding the General Position Condition When Computing the Topology of a Real Algebraic Plane Curve Defined Implicitly.
Proceedings of the Geometric Science of Information - 6th International Conference, 2023

2022
Solving the interference problem for ellipses and ellipsoids: New formulae.
J. Comput. Appl. Math., 2022

2020
Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid.
Comput. Geosci., 2020

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

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

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

Offsets to conics and quadrics: a new determinantal representation for their implicit equation.
ACM Commun. Comput. Algebra, 2018

2017
Blind image deconvolution through Bezoutians.
J. Comput. Appl. Math., 2017

An algebraic framework for computing the topology of offsets to rational curves.
Comput. Aided Geom. Des., 2017

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

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

2014
Direct symbolic transformation from 3D cartesian into hyperboloidal coordinates.
Appl. Math. Comput., 2014

2013
Using implicit equations of parametric curves and surfaces without computing them: Polynomial algebra by values.
Comput. Aided Geom. Des., 2013

Computing the topology of a real algebraic plane curve whose defining equations are available only "by values".
Comput. Aided Geom. Des., 2013

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

2010
Dynamic Galois Theory.
J. Symb. Comput., 2010

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

2009
Block LU factorization of Hankel and Bezout matrices and Euclidean algorithm.
Int. J. Comput. Math., 2009

Bezout matrices, Subresultant polynomials and parameters.
Appl. Math. Comput., 2009

2006
Galois theory, splitting fields and computer algebra.
J. Symb. Comput., 2006

The Berlekamp-Massey Algorithm revisited.
Appl. Algebra Eng. Commun. Comput., 2006

2005
Generalizing Cramer's Rule: Solving Uniformly Linear Systems of Equations.
SIAM J. Matrix Anal. Appl., 2005

On a Conjecture About Univariate Polynomials and Their Roots.
Proceedings of the Algorithmic Algebra and Logic. Proceedings of the A3L 2005, 2005

2004
Minors of Bezout matrices, subresultants and the parameterization of the degree of the polynomial greatest common divisor.
Int. J. Comput. Math., 2004

Various New Expressions for Subresultants and Their Applications.
Appl. Algebra Eng. Commun. Comput., 2004

2002
Barnett's Theorems About the Greatest Common Divisor of Several Univariate Polynomials Through Bezout-like Matrices.
J. Symb. Comput., 2002

2001
Squarefree Decomposition of Univariate Polynomials Depending on a Parameter. Application to the Integration of Parametric Rational Functions.
J. Symb. Comput., 2001


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