![Foto de Sonia](/img/uploaded/F4053A3D4431BFDE9E2F9D43DA07435E.jpg)
Sonia
Pérez Díaz
Catedrático/a de Universidad
Publications (68) Sonia Pérez Díaz publications
2024
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A survey on recent advances in the computation of asymptotes
Sao Paulo Journal of Mathematical Sciences
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An effective algorithm for computing the asymptotes of an implicit curve
Journal of Computational and Applied Mathematics, Vol. 437
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Birational reparameterizations of surfaces
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 118, Núm. 3
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Globally certified G1 approximation of planar algebraic curves
Journal of Computational and Applied Mathematics, Vol. 436
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On G2 approximation of planar algebraic curves under certified error control by quintic Pythagorean-hodograph splines
Computer Aided Geometric Design, Vol. 113
2023
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Asymptotic Behavior of a Parametric Algebraic Surface
Contemporary Mathematics (Singapore), Vol. 4, Núm. 4, pp. 962-973
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Challenges and Opportunities in Machine Learning for Geometry
Mathematics, Vol. 11, Núm. 11
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Computing branches and asymptotes of meromorphic functions
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 117, Núm. 3
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Design and implementation of symbolic algorithms for the computation of generalized asymptotes
Annals of Mathematics and Artificial Intelligence, Vol. 91, Núm. 4, pp. 537-561
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Detecting and parametrizing polynomial surfaces without base points
Computer Aided Geometric Design, Vol. 107
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Some New Symbolic Algorithms for the Computation of Generalized Asymptotes
Symmetry, Vol. 15, Núm. 1
2022
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A simple formula for the computation of branches and asymptotes of curves and some applications
Computer Aided Geometric Design, Vol. 94
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Asymptotic Behavior of a Surface Implicitly Defined
Mathematics, Vol. 10, Núm. 9
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Determining the asymptotic family of an implicit curve
Computer Aided Geometric Design, Vol. 98
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On the Base Point Locus of Surface Parametrizations: Formulas and Consequences
Communications in Mathematics and Statistics, Vol. 10, Núm. 4, pp. 757-783
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The T-function of a parametric curve
Quaestiones Mathematicae, Vol. 45, Núm. 5, pp. 797-825
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Using μ-bases to reduce the degree in the computation of projective equivalences between rational curves in n-space
Journal of Computational and Applied Mathematics, Vol. 416
2021
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A Maple Package to Deal with the Birationality of Curves and Surfaces Parametrizations
Communications in Computer and Information Science
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A Survey of the Representations of Rational Ruled Surfaces
Journal of Systems Science and Complexity, Vol. 34, Núm. 6, pp. 2357-2377
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Computing the form of highest degree of the implicit equation of a rational surface
Advances in Applied Mathematics, Vol. 123