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Pérez-Díaz, Sonia

Author ID: perez-diaz.sonia Recent zbMATH articles by "Pérez-Díaz, Sonia"
Published as: Pérez-Díaz, Sonia; Pérez-Díaz, S.; Pérez Díaz, Sonia
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

Publications by Year

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 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

Citations by Year