Sonia Pérez-Díaz

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 31

Top Topics

Algebraic Curves

Coordinate Systems

Top Venues

Comput. Aided Geom. Des.

J. Comput. Appl. Math.

J. Syst. Sci. Complex.

Adv. Appl. Math.

Publications

Xin-Yu Wang, Li-Yong Shen, Chun-Ming Yuan, Sonia Pérez-Díaz
Globally certified G1 approximation of planar algebraic curves. J. Comput. Appl. Math. 436 (2024)
Xin-Yu Wang, Li-Yong Shen, Chun-Ming Yuan, Sonia Pérez-Díaz
On G2 approximation of planar algebraic curves under certified error control by quintic Pythagorean-hodograph splines. Comput. Aided Geom. Des. 113 (2024)
Sonia Pérez-Díaz, J. Rafael Magdalena Benedito, Marian Fernández de Sevilla
An effective algorithm for computing the asymptotes of an implicit curve. J. Comput. Appl. Math. 437 (2024)
A. Herreros-Martínez, R. Magdalena-Benedicto, Joan Vila-Francés, Antonio J. Serrano-López, Sonia Pérez-Díaz
Applied Machine Learning to Anomaly Detection in Enterprise Purchase Processes. CoRR (2024)
Marian Fernández de Sevilla, Rafael Magdalena Benedicto, Sonia Pérez-Díaz
Design and implementation of symbolic algorithms for the computation of generalized asymptotes. Ann. Math. Artif. Intell. 91 (4) (2023)
Sonia Pérez-Díaz, Marian Fernández de Sevilla, Rafael Magdalena Benedicto, Li-Yong Shen
Detecting and parametrizing polynomial surfaces without base points. Comput. Aided Geom. Des. 107 (2023)
Elena Campo-Montalvo, Marian Fernández de Sevilla, J. Rafael Magdalena Benedicto, Sonia Pérez-Díaz
Some New Symbolic Algorithms for the Computation of Generalized Asymptotes. Symmetry 15 (1) (2023)
Elena Campo-Montalvo, Marian Fernández de Sevilla, R. Magdalena Benedicto, Sonia Pérez-Díaz
Determining the asymptotic family of an implicit curve. Comput. Aided Geom. Des. 98 (2022)
Juan Gerardo Alcázar, Carlos Hermoso, Sonia Pérez-Díaz, Li-Yong Shen
Using μ-bases to reduce the degree in the computation of projective equivalences between rational curves in n-space. J. Comput. Appl. Math. 416 (2022)
Elena Campo-Montalvo, Marian Fernández de Sevilla, Sonia Pérez-Díaz
A simple formula for the computation of branches and asymptotes of curves and some applications. Comput. Aided Geom. Des. 94 (2022)
Chun-Ming Yuan, Sonia Pérez-Díaz, Li-Yong Shen
A Survey of the Representations of Rational Ruled Surfaces. J. Syst. Sci. Complex. 34 (6) (2021)
Sonia Pérez-Díaz, Li-Yong Shen
-basis. Comput. Aided Geom. Des. 84 (2021)
Sonia Pérez-Díaz, Li-Yong Shen
Computing the μ-bases of algebraic monoid curves and surfaces. Comput. Graph. 97 (2021)
Juan Gerardo Alcázar, Sonia Pérez-Díaz
Computing the form of highest degree of the implicit equation of a rational surface. Adv. Appl. Math. 123 (2021)
Sonia Pérez-Díaz, Li-Yong Shen
A Symbolic-Numeric Approach for Parametrizing Ruled Surfaces. J. Syst. Sci. Complex. 33 (3) (2020)
Jorge Caravantes, Sonia Pérez-Díaz, J. Rafael Sendra
A Maple Package to Deal with the Birationality of Curves and Surfaces Parametrizations. MC (2020)
Angel Blasco, Sonia Pérez-Díaz
A new approach for computing the asymptotes of a parametric curve. J. Comput. Appl. Math. 364 (2020)
Sonia Pérez-Díaz, Li-Yong Shen
Parameterization of rational translational surfaces. Theor. Comput. Sci. 835 (2020)
Angel Blasco, Sonia Pérez-Díaz
The limit point and the T-function. J. Symb. Comput. 94 (2019)
Angel Blasco, Sonia Pérez-Díaz
An in depth analysis, via resultants, of the singularities of a parametric curve. Comput. Aided Geom. Des. 68 (2019)
Sonia Pérez-Díaz, Angel Blasco
On the computation of singularities of parametrized ruled surfaces. Adv. Appl. Math. 110 (2019)
Li-Yong Shen, Sonia Pérez-Díaz
Numerical polynomial reparametrization of rational curves. Comput. Aided Geom. Des. 71 (2019)
Li-Yong Shen, Sonia Pérez-Díaz, Zhengfeng Yang
Numerical Proper Reparametrization of Space Curves and Surfaces. Comput. Aided Des. 116 (2019)
Li-Yong Shen, Sonia Pérez-Díaz, Ron Goldman, Yifei Feng
Representing rational curve segments and surface patches using semi-algebraic sets. Comput. Aided Geom. Des. 74 (2019)
Sonia Pérez-Díaz
Analysis and construction of rational curve parametrizations with non-ordinary singularities. Comput. Aided Geom. Des. 66 (2018)
Sonia Pérez-Díaz, J. Rafael Sendra, Carlos Villarino
Computing the singularities of rational surfaces. Math. Comput. 84 (294) (2015)
Liyong Shen, Sonia Pérez-Díaz
Determination and (re)parametrization of rational developable surfaces. J. Syst. Sci. Complex. 28 (6) (2015)
Sonia Pérez-Díaz, Angel Blasco
A connection between birational automorphisms of the plane and linear systems of curves. J. Comput. Appl. Math. 283 (2015)
Angel Blasco, Sonia Pérez-Díaz
Characterizing the finiteness of the Hausdorff distance between two algebraic curves. J. Comput. Appl. Math. 280 (2015)
Li-Yong Shen, Sonia Pérez-Díaz
Numerical proper reparametrization of parametric plane curves. J. Comput. Appl. Math. 277 (2015)
Angel Blasco, Sonia Pérez-Díaz
Asymptotes of space curves. J. Comput. Appl. Math. 278 (2015)
Angel Blasco, Sonia Pérez-Díaz
Asymptotic behavior of an implicit algebraic plane curve. Comput. Aided Geom. Des. 31 (7-8) (2014)
Angel Blasco, Sonia Pérez-Díaz
Asymptotes and perfect curves. Comput. Aided Geom. Des. 31 (2) (2014)
Sonia Pérez-Díaz, Li-Yong Shen
Parametrization of translational surfaces. SNC (2014)
Li-Yong Shen, Sonia Pérez-Díaz
Characterization of rational ruled surfaces. J. Symb. Comput. 63 (2014)
Sonia Pérez-Díaz, Li-Yong Shen
Determination and (re)parametrization of rational developable surfaces CoRR (2013)
Sonia Pérez-Díaz
A partial solution to the problem of proper reparametrization for rational surfaces. Comput. Aided Geom. Des. 30 (8) (2013)
Sonia Pérez-Díaz, J. Rafael Sendra
Behavior of the Fiber and the Base Points of Parametrizations Under Projections. Math. Comput. Sci. 7 (2) (2013)
Sonia Pérez-Díaz, Li-Yong Shen
Numerical Reparametrization of Rational Parametric Plane Curves CoRR (2013)
Sonia Pérez-Díaz, Li-Yong Shen
Characterization of Rational Ruled Surfaces CoRR (2013)
Sonia Pérez-Díaz, J. Rafael Sendra, Carlos Villarino
A First Approach towards Normal Parametrizations of Algebraic Surfaces. Int. J. Algebra Comput. 20 (8) (2010)
Sonia Pérez-Díaz, J. Rafael Sendra, Sonia L. Rueda, Juana Sendra
Approximate parametrization of plane algebraic curves by linear systems of curves. Comput. Aided Geom. Des. 27 (2) (2010)
Sonia Pérez-Díaz, J. Rafael Sendra, Sonia L. Rueda, Juana Sendra
Parametrization of ε-rational curves: extended abstract. SNC (2009)
Sonia Pérez-Díaz, J. Rafael Sendra
A univariate resultant-based implicitization algorithm for surfaces. J. Symb. Comput. 43 (2) (2008)
Sonia Pérez-Díaz
Computation of the singularities of parametric plane curves. J. Symb. Comput. 42 (8) (2007)
Sonia Pérez-Díaz
Inversion, Degree and Reparametrization for Rational Surfaces. IMA Conference on the Mathematics of Surfaces (2007)
Sonia Pérez-Díaz, J. Rafael Sendra, Carlos Villarino
Finite piecewise polynomial parametrization of plane rational algebraic curves. Appl. Algebra Eng. Commun. Comput. 18 (1-2) (2007)
Sonia Pérez-Díaz
On the problem of proper reparametrization for rational curves and surfaces. Comput. Aided Geom. Des. 23 (4) (2006)
Sonia Pérez-Díaz, Juana Sendra, J. Rafael Sendra
-points on hypersurfaces. Theor. Comput. Sci. 359 (1-3) (2006)
Sonia Pérez-Díaz, Juana Sendra, J. Rafael Sendra
Parametrization of approximate algebraic surfaces by lines . Comput. Aided Geom. Des. 22 (2005)
Sonia Pérez-Díaz, Juana Sendra, J. Rafael Sendra
The Challenge of Approximately Parameterizing Algebraic Curves and Surfaces. Algorithmic Algebra and Logic (2005)
Sonia Pérez-Díaz, J. Rafael Sendra
Partial degree formulae for rational algebraic surfaces. ISSAC (2005)
Sonia Pérez-Díaz, Juana Sendra, J. Rafael Sendra
Parametrization of approximate algebraic curves by lines. Theor. Comput. Sci. 315 (2-3) (2004)
Sonia Pérez-Díaz, J. Rafael Sendra
Computing all parametric solutions for blending parametric surfaces. J. Symb. Comput. 36 (6) (2003)
Sonia Pérez-Díaz, Josef Schicho, J. Rafael Sendra
Properness and Inversion of Rational Parametrizations of Surfaces. Appl. Algebra Eng. Commun. Comput. 13 (1) (2002)
Sonia Pérez-Díaz, Juan Rafael Sendra
Parametric G1-Blending of Several Surfaces. CASC (2001)