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On the Solutions of Three-Variable Frobenius-Related Problems Using Order Reduction Approach

International journal of mathematics and mathematical sciences, 2021-09, Vol.2021, p.1-11

2021

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Fixed-Point Theorems for θ−ϕ-Contraction in Generalized Asymmetric Metric Spaces

International journal of mathematics and mathematical sciences, 2020, Vol.2020 (2020), p.1-19

2020

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On the problem of proper reparametrization for rational curves and surfaces

Computer aided geometric design, 2006-05, Vol.23 (4), p.307-323

Pérez-Díaz, Sonia

2006

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Rational Algebraic Curves: A Computer Algebra Approach

1, 2007

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Challenges and Opportunities in Machine Learning for Geometry

Mathematics (Basel), 2023-06, Vol.11 (11), p.2576

2023

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Some New Symbolic Algorithms for the Computation of Generalized Asymptotes

Symmetry (Basel), 2023-01, Vol.15 (1), p.69

2023

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Computing Birational Polynomial Surface Parametrizations without Base Points

Mathematics (Basel), 2020-12, Vol.8 (12), p.2224

2020

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The μ-Basis of Improper Rational Parametric Surface and Its Application

Mathematics (Basel), 2021-03, Vol.9 (6), p.640

2021

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Parametrization of approximate algebraic surfaces by lines

Computer aided geometric design, 2005-02, Vol.22 (2), p.147-181

2005

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The T-function of a parametric curve

Quaestiones mathematicae, 2022-05, Vol.45 (5), p.797-825

Pérez-Díaz, Sonia

2022

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Globally certified G1 approximation of planar algebraic curves

Journal of computational and applied mathematics, 2024-01, Vol.436, Article 115399

2024

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An effective algorithm for computing the asymptotes of an implicit curve

Journal of computational and applied mathematics, 2024-02, Vol.437, p.115468, Article 115468

2024

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Analysis and construction of rational curve parametrizations with non-ordinary singularities

Computer aided geometric design, 2018-11, Vol.66, p.31-51

Pérez-Díaz, Sonia

2018

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A new approach for computing the asymptotes of a parametric curve

Journal of computational and applied mathematics, 2020-01, Vol.364, p.112350, Article 112350

2020

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Parameterization of rational translational surfaces

Theoretical computer science, 2020-10, Vol.835, p.156-167

2020

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An in depth analysis, via resultants, of the singularities of a parametric curve

Computer aided geometric design, 2019-01, Vol.68, p.22-47

2019

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The limit point and the T-function

Journal of symbolic computation, 2019-09, Vol.94, p.30-51

2019

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A simple formula for the computation of branches and asymptotes of curves and some applications

Computer aided geometric design, 2022-03, Vol.94, p.102084, Article 102084

2022

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Birational reparameterizations of surfaces

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2024-07, Vol.118 (3), Article 109

2024

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Asymptotes of space curves

Journal of computational and applied mathematics, 2015-04, Vol.278, p.231-247

2015

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Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis

Computer aided geometric design, 2021-01, Vol.84, p.101957, Article 101957

2021

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Computing the μ-bases of algebraic monoid curves and surfaces

Computers & graphics, 2021-06, Vol.97, p.78-87

2021

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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, 2022-12, Vol.416, p.114571, Article 114571

2022

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Detecting and parametrizing polynomial surfaces without base points

Computer aided geometric design, 2023-12, Vol.107, p.102255, Article 102255

2023

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Numerical Proper Reparametrization of Space Curves and Surfaces

Computer aided design, 2019-11, Vol.116, p.102732, Article 102732

2019

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On the Solutions of Three-Variable Frobenius-Related Problems Using Order Reduction Approach

Fixed-Point Theorems for θ−ϕ-Contraction in Generalized Asymmetric Metric Spaces

On the problem of proper reparametrization for rational curves and surfaces

Rational Algebraic Curves: A Computer Algebra Approach

Challenges and Opportunities in Machine Learning for Geometry

Some New Symbolic Algorithms for the Computation of Generalized Asymptotes

Computing Birational Polynomial Surface Parametrizations without Base Points

The μ-Basis of Improper Rational Parametric Surface and Its Application

Parametrization of approximate algebraic surfaces by lines

The T-function of a parametric curve

Globally certified G1 approximation of planar algebraic curves

An effective algorithm for computing the asymptotes of an implicit curve

Analysis and construction of rational curve parametrizations with non-ordinary singularities

A new approach for computing the asymptotes of a parametric curve

Parameterization of rational translational surfaces

An in depth analysis, via resultants, of the singularities of a parametric curve

The limit point and the T-function

A simple formula for the computation of branches and asymptotes of curves and some applications

Birational reparameterizations of surfaces

Asymptotes of space curves

Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis

Computing the μ-bases of algebraic monoid curves and surfaces

Using μ -bases to reduce the degree in the computation of projective equivalences between rational curves in n -space

Detecting and parametrizing polynomial surfaces without base points

Numerical Proper Reparametrization of Space Curves and Surfaces

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