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ORCIDSonia Pérez-Díaz
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2020 – today
- 2024
[j45]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: 102374 (2024)- [j44]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: 115399 (2024) - [j43]Sonia Pérez-Díaz, J. Rafael Magdalena Benedicto, Marian Fernández de Sevilla:
An effective algorithm for computing the asymptotes of an implicit curve. J. Comput. Appl. Math. 437: 115468 (2024) - [i4]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 abs/2405.14754 (2024) - 2023
- [j42]Marian Fernández de Sevilla, J. Rafael Magdalena Benedicto, Sonia Pérez-Díaz:
Design and implementation of symbolic algorithms for the computation of generalized asymptotes. Ann. Math. Artif. Intell. 91(4): 537-561 (2023) - [j41]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: 102255 (2023) - [j40]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): 69 (2023) - 2022
- [j39]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: 102084 (2022) - [j38]Elena Campo-Montalvo, Marian Fernández de Sevilla, J. Rafael Magdalena Benedicto, Sonia Pérez-Díaz:
Determining the asymptotic family of an implicit curve. Comput. Aided Geom. Des. 98: 102146 (2022) - [j37]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: 114571 (2022) - 2021
- [j36]Juan Gerardo Alcázar, Sonia Pérez-Díaz:
Computing the form of highest degree of the implicit equation of a rational surface. Adv. Appl. Math. 123: 102128 (2021) - [j35]Sonia Pérez-Díaz, Li-Yong Shen:
Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis. Comput. Aided Geom. Des. 84: 101957 (2021) - [j34]Sonia Pérez-Díaz, Li-Yong Shen:
Computing the μ-bases of algebraic monoid curves and surfaces. Comput. Graph. 97: 78-87 (2021) - [j33]Chun-Ming Yuan, Sonia Pérez-Díaz, Li-Yong Shen:
A Survey of the Representations of Rational Ruled Surfaces. J. Syst. Sci. Complex. 34(6): 2357-2377 (2021) - 2020
- [j32]Angel Blasco, Sonia Pérez-Díaz:
A new approach for computing the asymptotes of a parametric curve. J. Comput. Appl. Math. 364 (2020) - [j31]Sonia Pérez-Díaz, Li-Yong Shen:
A Symbolic-Numeric Approach for Parametrizing Ruled Surfaces. J. Syst. Sci. Complex. 33(3): 799-820 (2020) - [j30]Sonia Pérez-Díaz, Li-Yong Shen:
Parameterization of rational translational surfaces. Theor. Comput. Sci. 835: 156-167 (2020) - [c7]Jorge Caravantes, Sonia Pérez-Díaz, J. Rafael Sendra:
A Maple Package to Deal with the Birationality of Curves and Surfaces Parametrizations. MC 2020: 137-151
2010 – 2019
- 2019
- [j29]Sonia Pérez-Díaz, Angel Blasco:
On the computation of singularities of parametrized ruled surfaces. Adv. Appl. Math. 110: 270-298 (2019) - [j28]Li-Yong Shen, Sonia Pérez-Díaz, Zhengfeng Yang:
Numerical Proper Reparametrization of Space Curves and Surfaces. Comput. Aided Des. 116 (2019) - [j27]Angel Blasco, Sonia Pérez-Díaz:
An in depth analysis, via resultants, of the singularities of a parametric curve. Comput. Aided Geom. Des. 68: 22-47 (2019) - [j26]Li-Yong Shen, Sonia Pérez-Díaz:
Numerical polynomial reparametrization of rational curves. Comput. Aided Geom. Des. 71: 90-104 (2019) - [j25]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) - [j24]Angel Blasco, Sonia Pérez-Díaz:
The limit point and the T-function. J. Symb. Comput. 94: 30-51 (2019) - 2018
- [j23]Sonia Pérez-Díaz:
Analysis and construction of rational curve parametrizations with non-ordinary singularities. Comput. Aided Geom. Des. 66: 31-51 (2018) - 2015
- [j22]Li-Yong Shen, Sonia Pérez-Díaz:
Numerical proper reparametrization of parametric plane curves. J. Comput. Appl. Math. 277: 138-161 (2015) - [j21]Angel Blasco, Sonia Pérez-Díaz:
Asymptotes of space curves. J. Comput. Appl. Math. 278: 231-247 (2015) - [j20]Angel Blasco, Sonia Pérez-Díaz:
Characterizing the finiteness of the Hausdorff distance between two algebraic curves. J. Comput. Appl. Math. 280: 327-346 (2015) - [j19]Sonia Pérez-Díaz, Angel Blasco:
A connection between birational automorphisms of the plane and linear systems of curves. J. Comput. Appl. Math. 283: 91-105 (2015) - [j18]Liyong Shen, Sonia Pérez-Díaz:
Determination and (re)parametrization of rational developable surfaces. J. Syst. Sci. Complex. 28(6): 1426-1439 (2015) - [j17]Sonia Pérez-Díaz, J. Rafael Sendra, Carlos Villarino:
Computing the singularities of rational surfaces. Math. Comput. 84(294): 1991-2021 (2015) - 2014
- [j16]Angel Blasco, Sonia Pérez-Díaz:
Asymptotes and perfect curves. Comput. Aided Geom. Des. 31(2): 81-96 (2014) - [j15]Angel Blasco, Sonia Pérez-Díaz:
Asymptotic behavior of an implicit algebraic plane curve. Comput. Aided Geom. Des. 31(7-8): 345-357 (2014) - [j14]Li-Yong Shen, Sonia Pérez-Díaz:
Characterization of rational ruled surfaces. J. Symb. Comput. 63: 21-45 (2014) - [c6]Sonia Pérez-Díaz, Li-Yong Shen:
Parametrization of translational surfaces. SNC 2014: 128-129 - 2013
- [j13]Sonia Pérez-Díaz:
A partial solution to the problem of proper reparametrization for rational surfaces. Comput. Aided Geom. Des. 30(8): 743-759 (2013) - [j12]Sonia Pérez-Díaz, J. Rafael Sendra:
Behavior of the Fiber and the Base Points of Parametrizations Under Projections. Math. Comput. Sci. 7(2): 167-184 (2013) - [i3]Sonia Pérez-Díaz, Li-Yong Shen:
Numerical Reparametrization of Rational Parametric Plane Curves. CoRR abs/1305.2461 (2013) - [i2]Sonia Pérez-Díaz, Li-Yong Shen:
Characterization of Rational Ruled Surfaces. CoRR abs/1305.2462 (2013) - [i1]Sonia Pérez-Díaz, Li-Yong Shen:
Determination and (re)parametrization of rational developable surfaces. CoRR abs/1305.2463 (2013) - 2010
- [j11]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): 212-231 (2010) - [j10]Sonia Pérez-Díaz, J. Rafael Sendra, Carlos Villarino:
A First Approach towards Normal Parametrizations of Algebraic Surfaces. Int. J. Algebra Comput. 20(8): 977-990 (2010)
2000 – 2009
- 2009
- [c5]Sonia Pérez-Díaz, J. Rafael Sendra, Sonia L. Rueda, Juana Sendra:
Parametrization of ε-rational curves: extended abstract. SNC 2009: 199-200 - 2008
- [j9]Sonia Pérez-Díaz, J. Rafael Sendra:
A univariate resultant-based implicitization algorithm for surfaces. J. Symb. Comput. 43(2): 118-139 (2008) - 2007
- [j8]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): 91-105 (2007) - [j7]Sonia Pérez-Díaz:
Computation of the singularities of parametric plane curves. J. Symb. Comput. 42(8): 835-857 (2007) - [c4]Sonia Pérez-Díaz:
Inversion, Degree and Reparametrization for Rational Surfaces. IMA Conference on the Mathematics of Surfaces 2007: 320-340 - 2006
- [j6]Sonia Pérez-Díaz:
On the problem of proper reparametrization for rational curves and surfaces. Comput. Aided Geom. Des. 23(4): 307-323 (2006) - [j5]Sonia Pérez-Díaz, Juana Sendra, J. Rafael Sendra:
Distance bounds of epsilon-points on hypersurfaces. Theor. Comput. Sci. 359(1-3): 344-368 (2006) - 2005
- [j4]Sonia Pérez-Díaz, Juana Sendra, J. Rafael Sendra:
Parametrization of approximate algebraic surfaces by lines . Comput. Aided Geom. Des. 22: 147-181 (2005) - [c3]Sonia Pérez-Díaz, Juana Sendra, J. Rafael Sendra:
The Challenge of Approximately Parameterizing Algebraic Curves and Surfaces. Algorithmic Algebra and Logic 2005: 187-194 - [c2]Sonia Pérez-Díaz, J. Rafael Sendra:
Partial degree formulae for rational algebraic surfaces. ISSAC 2005: 301-308 - 2004
- [j3]Sonia Pérez-Díaz, Juana Sendra, J. Rafael Sendra:
Parametrization of approximate algebraic curves by lines. Theor. Comput. Sci. 315(2-3): 627-650 (2004) - 2003
- [j2]Sonia Pérez-Díaz, J. Rafael Sendra:
Computing all parametric solutions for blending parametric surfaces. J. Symb. Comput. 36(6): 925-964 (2003) - 2002
- [j1]Sonia Pérez-Díaz, Josef Schicho, J. Rafael Sendra:
Properness and Inversion of Rational Parametrizations of Surfaces. Appl. Algebra Eng. Commun. Comput. 13(1): 29-51 (2002) - 2001
- [c1]Sonia Pérez-Díaz, Juan Rafael Sendra:
Parametric G1-Blending of Several Surfaces. CASC 2001: 445-459
Coauthor Index
aka: Juan Rafael Sendra
aka: Liyong Shen
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