Edit Profile (opens in new tab) Pérez-Díaz, Sonia Co-Author Distance Author ID: perez-diaz.sonia Published as: Pérez-Díaz, Sonia; Pérez-Díaz, S.; Pérez Díaz, Sonia more...less External Links: MGP Documents Indexed: 56 Publications since 2001, including 1 Book and 3 Additional arXiv Preprints Reviewing Activity: 150 Reviews Co-Authors: 23 Co-Authors with 50 Joint Publications 392 Co-Co-Authors all top 5 Co-Authors 6 single-authored 20 Sendra, Juan Rafael 13 Shen, Liyong 10 Blasco, Ángel 7 Sendra, Juana 4 de Sevilla, Marian Fernández 3 Benedicto, Rafael Magdalena 3 Villarino, Carlos 2 Alcazar, Juan Gerardo 2 Campo-Montalvo, Elena 2 Rueda, Sonia L. 2 Yuan, Chunming 1 Benedicto, R. Magdalena 1 Caravantes, Jorge 1 Cox, David A. 1 Feng, Yifei 1 Fernandez de Sevilla, M. 1 Goldman, Ronald N. 1 Gonzalez-Vega, Laureano 1 Hermoso Ortiz, Carlos 1 Necula, Ioana 1 Schicho, Josef 1 Sendra, Rafael 1 Winkler, Franz all top 5 Serials 14 Computer Aided Geometric Design 8 Journal of Computational and Applied Mathematics 5 Journal of Symbolic Computation 3 Theoretical Computer Science 3 Journal of Systems Science and Complexity 2 Advances in Applied Mathematics 2 Applicable Algebra in Engineering, Communication and Computing 1 Mathematics of Computation 1 Journal of Pure and Applied Algebra 1 Quaestiones Mathematicae 1 International Journal of Algebra and Computation 1 Annals of Mathematics and Artificial Intelligence 1 La Gaceta de la Real Sociedad Matemática Española 1 Algorithms and Computation in Mathematics 1 Mathematics in Computer Science 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Communications in Mathematics and Statistics all top 5 Fields 41 Algebraic geometry (14-XX) 32 Numerical analysis (65-XX) 16 Computer science (68-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 362 times in 177 Documents Cited by ▼ Year ▼ Rational algebraic curves. A computer algebra approach. Zbl 1129.14083 Sendra, J. Rafael; Winkler, Franz; Pérez-Díaz, Sonia 84 2008 On the problem of proper reparametrization for rational curves and surfaces. Zbl 1102.65018 Pérez-Díaz, Sonia 32 2006 Computation of the singularities of parametric plane curves. Zbl 1138.14036 Pérez-Díaz, Sonia 26 2007 Computation of the degree of rational surface parametrizations. Zbl 1049.14047 Pérez-Díaz, Sonia; Sendra, J. Rafael 18 2004 Properness and inversion of rational parametrizations of surfaces. Zbl 0993.14022 Pérez-Díaz, Sonia; Schicho, Josef; Sendra, J. Rafael 17 2002 A univariate resultant-based implicitization algorithm for surfaces. Zbl 1154.14043 Pérez-Díaz, Sonia; Sendra, J. Rafael 15 2008 Approximate parametrization of plane algebraic curves by linear systems of curves. Zbl 1225.65024 Pérez-Díaz, Sonia; Sendra, J. Rafael; Rueda, Sonia L.; Sendra, Juana 14 2010 Parametrization of approximate algebraic curves by lines. Zbl 1085.68187 Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael 14 2004 Characterization of rational ruled surfaces. Zbl 1294.65023 Shen, Li-Yong; Pérez-Díaz, Sonia 13 2014 Asymptotes and perfect curves. Zbl 1301.14033 Blasco, Angel; Pérez-Díaz, Sonia 12 2014 Asymptotic behavior of an implicit algebraic plane curve. Zbl 1364.14024 Blasco, Angel; Pérez-Díaz, Sonia 11 2014 Parametrization of approximate algebraic surfaces by lines. Zbl 1087.65013 Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael 10 2005 Asymptotes of space curves. Zbl 1306.14029 Blasco, Angel; Pérez-Díaz, Sonia 10 2015 Computing the singularities of rational surfaces. Zbl 1318.14056 Pérez-Díaz, S.; Sendra, J. R.; Villarino, C. 9 2015 Algebraic methods in computer aided geometric design: theoretical and practical applications. Zbl 1082.65506 González-Vega, Laureano; Necula, Ioana; Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael 7 2004 Partial degree formulae for rational algebraic surfaces. Zbl 1360.14144 Pérez-Díaz, Sonia; Sendra, J. Rafael 7 2005 Distance bounds of \(\varepsilon\)-points on hypersurfaces. Zbl 1099.68137 Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael 6 2006 A new approach for computing the asymptotes of a parametric curve. Zbl 1442.14183 Blasco, Angel; Pérez-Díaz, Sonia 5 2020 A first approach towards normal parametrizations of algebraic surfaces. Zbl 1210.14071 Pérez-Díaz, S.; Sendra, J. R.; Villarino, C. 5 2010 Determination and (re)parametrization of rational developable surfaces. Zbl 1355.65029 Shen, Liyong; Pérez-Díaz, Sonia 4 2015 Finite piecewise polynomial parametrization of plane rational algebraic curves. Zbl 1192.14048 Pérez-Díaz, S.; Sendra, J. R.; Villarino, C. 4 2007 An in depth analysis, via resultants, of the singularities of a parametric curve. Zbl 1439.14171 Blasco, Angel; Pérez-Díaz, Sonia 4 2019 Computing all parametric solutions for blending parametric surfaces. Zbl 1050.65018 Pérez-Díaz, Sonia; Sendra, J. Rafael 3 2003 Distance properties of \(\varepsilon\)-points on algebraic curves. Zbl 1073.14074 Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael 3 2005 Numerical proper reparametrization of parametric plane curves. Zbl 1302.65049 Shen, Li-Yong; Pérez-Díaz, Sonia 3 2015 Behavior of the fiber and the base points of parametrizations under projections. Zbl 1317.14130 Pérez-Díaz, Sonia; Sendra, J. Rafael 3 2013 A simple formula for the computation of branches and asymptotes of curves and some applications. Zbl 1492.65050 Campo-Montalvo, Elena; de Sevilla, Marián Fernández; Pérez-Díaz, Sonia 3 2022 A partial solution to the problem of proper reparametrization for rational surfaces. Zbl 1286.65024 Pérez-Díaz, Sonia 3 2013 On the computation of singularities of parametrized ruled surfaces. Zbl 1470.14054 Pérez-Díaz, Sonia; Blasco, Angel 2 2019 Parametrization of translational surfaces. Zbl 1345.65010 Pérez-Díaz, Sonia; Shen, Li-Yong 2 2014 Determining the asymptotic family of an implicit curve. Zbl 1506.14116 Campo-Montalvo, E.; de Sevilla, M. Fernández; Benedicto, R. Magdalena; Pérez-Díaz, S. 2 2022 The limit point and the T-function. Zbl 1430.14110 Blasco, Angel; Pérez-Díaz, Sonia 2 2019 Parametric \(G^1\)-blending of several surfaces. Zbl 0988.65012 Pérez-Díaz, Sonia; Sendra, Rafael 1 2001 Characterizing the finiteness of the Hausdorff distance between two algebraic curves. Zbl 1346.14135 Blasco, Angel; Pérez-Díaz, Sonia 1 2015 Numerical polynomial reparametrization of rational curves. Zbl 1473.14112 Shen, Li-Yong; Pérez-Díaz, Sonia 1 2019 Analysis and construction of rational curve parametrizations with non-ordinary singularities. Zbl 1439.14173 Pérez-Díaz, Sonia 1 2018 Parameterization of rational translational surfaces. Zbl 1455.14114 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2020 A symbolic-numeric approach for parametrizing ruled surfaces. Zbl 1446.14037 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2020 Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using \(\mu \)-basis. Zbl 1465.14056 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2021 On the base point locus of surface parametrizations: formulas and consequences. Zbl 1506.14082 Cox, David A.; Pérez-Díaz, Sonia; Sendra, J. Rafael 1 2022 Computing branches and asymptotes of meromorphic functions. Zbl 1521.14059 Fernández de Sevilla, M.; Magdalena-Benedicto, R.; Pérez-Díaz, S. 1 2023 Computing branches and asymptotes of meromorphic functions. Zbl 1521.14059 Fernández de Sevilla, M.; Magdalena-Benedicto, R.; Pérez-Díaz, S. 1 2023 A simple formula for the computation of branches and asymptotes of curves and some applications. Zbl 1492.65050 Campo-Montalvo, Elena; de Sevilla, Marián Fernández; Pérez-Díaz, Sonia 3 2022 Determining the asymptotic family of an implicit curve. Zbl 1506.14116 Campo-Montalvo, E.; de Sevilla, M. Fernández; Benedicto, R. Magdalena; Pérez-Díaz, S. 2 2022 On the base point locus of surface parametrizations: formulas and consequences. Zbl 1506.14082 Cox, David A.; Pérez-Díaz, Sonia; Sendra, J. Rafael 1 2022 Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using \(\mu \)-basis. Zbl 1465.14056 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2021 A new approach for computing the asymptotes of a parametric curve. Zbl 1442.14183 Blasco, Angel; Pérez-Díaz, Sonia 5 2020 Parameterization of rational translational surfaces. Zbl 1455.14114 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2020 A symbolic-numeric approach for parametrizing ruled surfaces. Zbl 1446.14037 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2020 An in depth analysis, via resultants, of the singularities of a parametric curve. Zbl 1439.14171 Blasco, Angel; Pérez-Díaz, Sonia 4 2019 On the computation of singularities of parametrized ruled surfaces. Zbl 1470.14054 Pérez-Díaz, Sonia; Blasco, Angel 2 2019 The limit point and the T-function. Zbl 1430.14110 Blasco, Angel; Pérez-Díaz, Sonia 2 2019 Numerical polynomial reparametrization of rational curves. Zbl 1473.14112 Shen, Li-Yong; Pérez-Díaz, Sonia 1 2019 Analysis and construction of rational curve parametrizations with non-ordinary singularities. Zbl 1439.14173 Pérez-Díaz, Sonia 1 2018 Asymptotes of space curves. Zbl 1306.14029 Blasco, Angel; Pérez-Díaz, Sonia 10 2015 Computing the singularities of rational surfaces. Zbl 1318.14056 Pérez-Díaz, S.; Sendra, J. R.; Villarino, C. 9 2015 Determination and (re)parametrization of rational developable surfaces. Zbl 1355.65029 Shen, Liyong; Pérez-Díaz, Sonia 4 2015 Numerical proper reparametrization of parametric plane curves. Zbl 1302.65049 Shen, Li-Yong; Pérez-Díaz, Sonia 3 2015 Characterizing the finiteness of the Hausdorff distance between two algebraic curves. Zbl 1346.14135 Blasco, Angel; Pérez-Díaz, Sonia 1 2015 Characterization of rational ruled surfaces. Zbl 1294.65023 Shen, Li-Yong; Pérez-Díaz, Sonia 13 2014 Asymptotes and perfect curves. Zbl 1301.14033 Blasco, Angel; Pérez-Díaz, Sonia 12 2014 Asymptotic behavior of an implicit algebraic plane curve. Zbl 1364.14024 Blasco, Angel; Pérez-Díaz, Sonia 11 2014 Parametrization of translational surfaces. Zbl 1345.65010 Pérez-Díaz, Sonia; Shen, Li-Yong 2 2014 Behavior of the fiber and the base points of parametrizations under projections. Zbl 1317.14130 Pérez-Díaz, Sonia; Sendra, J. Rafael 3 2013 A partial solution to the problem of proper reparametrization for rational surfaces. Zbl 1286.65024 Pérez-Díaz, Sonia 3 2013 Approximate parametrization of plane algebraic curves by linear systems of curves. Zbl 1225.65024 Pérez-Díaz, Sonia; Sendra, J. Rafael; Rueda, Sonia L.; Sendra, Juana 14 2010 A first approach towards normal parametrizations of algebraic surfaces. Zbl 1210.14071 Pérez-Díaz, S.; Sendra, J. R.; Villarino, C. 5 2010 Rational algebraic curves. A computer algebra approach. Zbl 1129.14083 Sendra, J. Rafael; Winkler, Franz; Pérez-Díaz, Sonia 84 2008 A univariate resultant-based implicitization algorithm for surfaces. Zbl 1154.14043 Pérez-Díaz, Sonia; Sendra, J. Rafael 15 2008 Computation of the singularities of parametric plane curves. Zbl 1138.14036 Pérez-Díaz, Sonia 26 2007 Finite piecewise polynomial parametrization of plane rational algebraic curves. Zbl 1192.14048 Pérez-Díaz, S.; Sendra, J. R.; Villarino, C. 4 2007 On the problem of proper reparametrization for rational curves and surfaces. Zbl 1102.65018 Pérez-Díaz, Sonia 32 2006 Distance bounds of \(\varepsilon\)-points on hypersurfaces. Zbl 1099.68137 Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael 6 2006 Parametrization of approximate algebraic surfaces by lines. Zbl 1087.65013 Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael 10 2005 Partial degree formulae for rational algebraic surfaces. Zbl 1360.14144 Pérez-Díaz, Sonia; Sendra, J. Rafael 7 2005 Distance properties of \(\varepsilon\)-points on algebraic curves. Zbl 1073.14074 Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael 3 2005 Computation of the degree of rational surface parametrizations. Zbl 1049.14047 Pérez-Díaz, Sonia; Sendra, J. Rafael 18 2004 Parametrization of approximate algebraic curves by lines. Zbl 1085.68187 Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael 14 2004 Algebraic methods in computer aided geometric design: theoretical and practical applications. Zbl 1082.65506 González-Vega, Laureano; Necula, Ioana; Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael 7 2004 Computing all parametric solutions for blending parametric surfaces. Zbl 1050.65018 Pérez-Díaz, Sonia; Sendra, J. Rafael 3 2003 Properness and inversion of rational parametrizations of surfaces. Zbl 0993.14022 Pérez-Díaz, Sonia; Schicho, Josef; Sendra, J. Rafael 17 2002 Parametric \(G^1\)-blending of several surfaces. Zbl 0988.65012 Pérez-Díaz, Sonia; Sendra, Rafael 1 2001 all cited Publications top 5 cited Publications all top 5 Cited by 168 Authors 43 Pérez-Díaz, Sonia 33 Sendra, Juan Rafael 18 Alcazar, Juan Gerardo 16 Shen, Liyong 11 Villarino, Carlos 9 Blasco, Ángel 9 Goldman, Ronald N. 9 Sendra, Juana 9 Winkler, Franz 6 Rueda, Sonia L. 6 Tabera, Luis Felipe 5 D’Andrea, Carlos 5 Díaz-Toca, Gema María 5 Hermoso Ortiz, Carlos 5 Ngô, Lâm Xuân Châu 5 Sevilla, David 4 Beltrametti, Mauro C. 4 Caravantes, Jorge 4 de Sevilla, Marian Fernández 4 Jüttler, Bert 4 Recio, Tomas 4 Sánchez-Reyes, Javier 4 Schicho, Josef 4 Wang, Haohao 3 Benedicto, Rafael Magdalena 3 Çoban, Hüsnü Anıl 3 Cortadellas Benítez, Teresa 3 Cox, David A. 3 Gonzalez-Vega, Laureano 3 Grasegger, Georg 3 Huang, Yanli 3 Jia, Xiaohong 3 Lávička, Miroslav 3 Muntingh, Georg 3 Shi, Xiaoran 3 Torrente, Maria-Laura 3 Yuan, Chunming 2 Andradas, Carlos 2 Busé, Laurent 2 Campo-Montalvo, Elena 2 Chen, Falai 2 Chen, Linxiao 2 Chionh, Engwee 2 Dohm, Marc 2 Gao, Xiaoshan 2 Gözütok, Uğur 2 Hauer, Michael 2 Massone, Anna Maria 2 Quintero, Emily 2 Rúa, Ignacio Fernández 2 Saleeby, Elias George 2 Silva, Guilherme L. F. 2 Tsigaridas, Elias P. 2 Turunen, Joonas 2 Vo, Thieu N. 2 Vršek, Jan 2 Wang, Dongming 1 Adrovic, Danko 1 Amirfakhrian, Majid 1 Bartoli, Adrien 1 Bastl, Bohumír 1 Benedicto, R. Magdalena 1 Bernardi, Alessandra 1 Biswas, Shibananda 1 Bizzarri, Michal 1 Bleher, Pavel M. 1 Böhm, Janko 1 Botbol, Nicolás 1 Buzzi, Claudio Aguinaldo 1 Campi, Cristina 1 Carvalho, Yagor Romano 1 Champanerkar, Abhijit 1 Charalambides, Marcos 1 Chau, Ngo Lam Xuan 1 Cheng, Jinsan 1 Corless, Robert Malcolm 1 Couveignes, Jean-Marc 1 Dahl, Heidi E. I. 1 Dana-Picard, Thierry Noah 1 Dat, Nguyen Tri 1 Decker, Wolfram 1 Dickenstein, Alicia M. 1 Dreyfus, Thomas 1 Emiris, Ioannis Z. 1 Falkensteiner, Sebastian 1 Feng, Erbao 1 Feng, Yifei 1 Fernandez de Sevilla, M. 1 Fioravanti, Mario A. 1 Gallet, Matteo 1 Gan, Zhiwang 1 Gasull, Armengol 1 Gimigliano, Alessandro 1 Gotthart, Lukas 1 Grozdanov, Sašo 1 Hardouin, Charlotte 1 He, Huanqi 1 Henrion, Didier 1 Hodorog, Mădălina 1 Hong, Hoon ...and 68 more Authors all top 5 Cited in 44 Serials 43 Computer Aided Geometric Design 30 Journal of Symbolic Computation 19 Journal of Computational and Applied Mathematics 9 Journal of Systems Science and Complexity 7 Mathematics in Computer Science 4 Journal of Algebra 4 Theoretical Computer Science 4 Advances in Applied Mathematics 4 International Journal of Algebra and Computation 4 Applicable Algebra in Engineering, Communication and Computing 3 Communications in Mathematical Physics 3 Mathematics of Computation 2 Applied Mathematics and Computation 2 Journal of Pure and Applied Algebra 2 Memoirs of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Mediterranean Journal of Mathematics 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Discrete & Computational Geometry 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Imaging and Vision 1 Applied Mathematics. Series B (English Edition) 1 Annals of Mathematics and Artificial Intelligence 1 Mathematical Problems in Engineering 1 Journal of Interdisciplinary Mathematics 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Journal of Algebra and its Applications 1 Complex Analysis and Operator Theory 1 International Electronic Journal of Geometry 1 Cryptography and Communications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Communications in Mathematics and Statistics 1 Advanced Studies: Euro-Tbilisi Mathematical Journal all top 5 Cited in 33 Fields 115 Algebraic geometry (14-XX) 76 Numerical analysis (65-XX) 58 Computer science (68-XX) 22 Commutative algebra (13-XX) 16 Ordinary differential equations (34-XX) 8 Functions of a complex variable (30-XX) 8 Geometry (51-XX) 7 Number theory (11-XX) 7 Field theory and polynomials (12-XX) 7 Differential geometry (53-XX) 6 Approximations and expansions (41-XX) 4 Combinatorics (05-XX) 4 Quantum theory (81-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Information and communication theory, circuits (94-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year