Parametric G1-Blending of Several Surfaces. - Sonia Pérez-Díaz; Juan Rafael Sendra (CASC, 2001)

Properness and Inversion of Rational Parametrizations of Surfaces. - Sonia Pérez-Díaz; Josef Schicho; J. Rafael Sendra (Appl. Algebra Eng. Commun. Comput., 2002)

Computing all parametric solutions for blending parametric surfaces. - Sonia Pérez-Díaz; J. Rafael Sendra (J. Symb. Comput., 2003)

Parametrization of approximate algebraic curves by lines. - Sonia Pérez-Díaz; Juana Sendra; J. Rafael Sendra (Theor. Comput. Sci., 2004)

The Challenge of Approximately Parameterizing Algebraic Curves and Surfaces. - Sonia Pérez-Díaz; Juana Sendra; J. Rafael Sendra (Algorithmic Algebra and Logic, 2005)

Partial degree formulae for rational algebraic surfaces. - Sonia Pérez-Díaz; J. Rafael Sendra (ISSAC, 2005)

Parametrization of approximate algebraic surfaces by lines . - Sonia Pérez-Díaz; Juana Sendra; J. Rafael Sendra (Comput. Aided Geom. Des., 2005)

On the problem of proper reparametrization for rational curves and surfaces. - Sonia Pérez-Díaz (Comput. Aided Geom. Des., 2006)

Distance bounds of epsilon-points on hypersurfaces. - Sonia Pérez-Díaz; Juana Sendra; J. Rafael Sendra (Theor. Comput. Sci., 2006)

Inversion, Degree and Reparametrization for Rational Surfaces. - Sonia Pérez-Díaz (IMA Conference on the Mathematics of Surfaces, 2007)

Finite piecewise polynomial parametrization of plane rational algebraic curves. - Sonia Pérez-Díaz; J. Rafael Sendra; Carlos Villarino (Appl. Algebra Eng. Commun. Comput., 2007)

Computation of the singularities of parametric plane curves. - Sonia Pérez-Díaz (J. Symb. Comput., 2007)

A univariate resultant-based implicitization algorithm for surfaces. - Sonia Pérez-Díaz; J. Rafael Sendra (J. Symb. Comput., 2008)

Parametrization of ε-rational curves: extended abstract. - Sonia Pérez-Díaz; J. Rafael Sendra; Sonia L. Rueda; Juana Sendra (SNC, 2009)

Approximate parametrization of plane algebraic curves by linear systems of curves. - Sonia Pérez-Díaz; J. Rafael Sendra; Sonia L. Rueda; Juana Sendra (Comput. Aided Geom. Des., 2010)

A First Approach towards Normal Parametrizations of Algebraic Surfaces. - Sonia Pérez-Díaz; J. Rafael Sendra; Carlos Villarino (Int. J. Algebra Comput., 2010)

A partial solution to the problem of proper reparametrization for rational surfaces. - Sonia Pérez-Díaz (Comput. Aided Geom. Des., 2013)

Numerical Reparametrization of Rational Parametric Plane Curves - Sonia Pérez-Díaz; Li-Yong Shen (CoRR, 2013)

Behavior of the Fiber and the Base Points of Parametrizations Under Projections. - Sonia Pérez-Díaz; J. Rafael Sendra (Math. Comput. Sci., 2013)

Parametrization of translational surfaces. - Sonia Pérez-Díaz; Li-Yong Shen (SNC, 2014)

Asymptotes and perfect curves. - Angel Blasco; Sonia Pérez-Díaz (Comput. Aided Geom. Des., 2014)

Asymptotic behavior of an implicit algebraic plane curve. - Angel Blasco; Sonia Pérez-Díaz (Comput. Aided Geom. Des., 2014)

Characterization of rational ruled surfaces. - Li-Yong Shen; Sonia Pérez-Díaz (J. Symb. Comput., 2014)

Asymptotes of space curves. - Angel Blasco; Sonia Pérez-Díaz (J. Comput. Appl. Math., 2015)

Characterizing the finiteness of the Hausdorff distance between two algebraic curves. - Angel Blasco; Sonia Pérez-Díaz (J. Comput. Appl. Math., 2015)

A connection between birational automorphisms of the plane and linear systems of curves. - Sonia Pérez-Díaz; Angel Blasco (J. Comput. Appl. Math., 2015)

Numerical proper reparametrization of parametric plane curves. - Li-Yong Shen; Sonia Pérez-Díaz (J. Comput. Appl. Math., 2015)

Determination and (re)parametrization of rational developable surfaces. - Liyong Shen; Sonia Pérez-Díaz (J. Syst. Sci. Complex., 2015)

Computing the singularities of rational surfaces. - Sonia Pérez-Díaz; J. Rafael Sendra; Carlos Villarino (Math. Comput., 2015)

Analysis and construction of rational curve parametrizations with non-ordinary singularities. - Sonia Pérez-Díaz (Comput. Aided Geom. Des., 2018)

On the computation of singularities of parametrized ruled surfaces. - Sonia Pérez-Díaz; Angel Blasco (Adv. Appl. Math., 2019)

Numerical Proper Reparametrization of Space Curves and Surfaces. - Li-Yong Shen; Sonia Pérez-Díaz; Zhengfeng Yang (Comput. Aided Des., 2019)

An in depth analysis, via resultants, of the singularities of a parametric curve. - Angel Blasco; Sonia Pérez-Díaz (Comput. Aided Geom. Des., 2019)

Numerical polynomial reparametrization of rational curves. - Li-Yong Shen; Sonia Pérez-Díaz (Comput. Aided Geom. Des., 2019)

Representing rational curve segments and surface patches using semi-algebraic sets. - Li-Yong Shen; Sonia Pérez-Díaz; Ron Goldman 002; Yifei Feng 001 (Comput. Aided Geom. Des., 2019)

The limit point and the T-function. - Angel Blasco; Sonia Pérez-Díaz (J. Symb. Comput., 2019)

A Maple Package to Deal with the Birationality of Curves and Surfaces Parametrizations. - Jorge Caravantes; Sonia Pérez-Díaz; J. Rafael Sendra (MC, 2020)

A new approach for computing the asymptotes of a parametric curve. - Angel Blasco; Sonia Pérez-Díaz (J. Comput. Appl. Math., 2020)

A Symbolic-Numeric Approach for Parametrizing Ruled Surfaces. - Sonia Pérez-Díaz; Li-Yong Shen (J. Syst. Sci. Complex., 2020)

Parameterization of rational translational surfaces. - Sonia Pérez-Díaz; Li-Yong Shen (Theor. Comput. Sci., 2020)

Computing the form of highest degree of the implicit equation of a rational surface. - Juan Gerardo Alcázar; Sonia Pérez-Díaz (Adv. Appl. Math., 2021)

Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis. - Sonia Pérez-Díaz; Li-Yong Shen (Comput. Aided Geom. Des., 2021)

Computing the μ-bases of algebraic monoid curves and surfaces. - Sonia Pérez-Díaz; Li-Yong Shen (Comput. Graph., 2021)

A Survey of the Representations of Rational Ruled Surfaces. - Chun-Ming Yuan; Sonia Pérez-Díaz; Li-Yong Shen (J. Syst. Sci. Complex., 2021)

A simple formula for the computation of branches and asymptotes of curves and some applications. - Elena Campo-Montalvo; Marian Fernández de Sevilla; Sonia Pérez-Díaz (Comput. Aided Geom. Des., 2022)

Determining the asymptotic family of an implicit curve. - Elena Campo-Montalvo; Marian Fernández de Sevilla; J. Rafael Magdalena Benedicto; Sonia Pérez-Díaz (Comput. Aided Geom. Des., 2022)

Using μ-bases to reduce the degree in the computation of projective equivalences between rational curves in n-space. - Juan Gerardo Alcázar; Carlos Hermoso; Sonia Pérez-Díaz; Li-Yong Shen (J. Comput. Appl. Math., 2022)

Some New Symbolic Algorithms for the Computation of Generalized Asymptotes. - Elena Campo-Montalvo; Marian Fernández de Sevilla; J. Rafael Magdalena Benedicto; Sonia Pérez-Díaz (Symmetry, 2023)

Design and implementation of symbolic algorithms for the computation of generalized asymptotes. - Marian Fernández de Sevilla; J. Rafael Magdalena Benedicto; Sonia Pérez-Díaz (Ann. Math. Artif. Intell., 2023)

Detecting and parametrizing polynomial surfaces without base points. - Sonia Pérez-Díaz; Marian Fernández de Sevilla; Rafael Magdalena Benedicto; Li-Yong Shen (Comput. Aided Geom. Des., 2023)

On G2 approximation of planar algebraic curves under certified error control by quintic Pythagorean-hodograph splines. - Xin-Yu Wang; Li-Yong Shen; Chun-Ming Yuan; Sonia Pérez-Díaz (Comput. Aided Geom. Des., 2024)

Applied Machine Learning to Anomaly Detection in Enterprise Purchase Processes. - A. Herreros-Martínez; R. Magdalena-Benedicto; Joan Vila-Francés; Antonio J. Serrano-López; Sonia Pérez-Díaz (CoRR, 2024)

Globally certified G1 approximation of planar algebraic curves. - Xin-Yu Wang; Li-Yong Shen; Chun-Ming Yuan; Sonia Pérez-Díaz (J. Comput. Appl. Math., 2024)

An effective algorithm for computing the asymptotes of an implicit curve. - Sonia Pérez-Díaz; J. Rafael Magdalena Benedicto; Marian Fernández de Sevilla (J. Comput. Appl. Math., 2024)

Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications. - Sonia Pérez-Díaz; Li-Yong Shen; Xin-Yu Wang; R. Magdalena-Benedicto (Comput. Aided Geom. Des., 2025)