Publications (64) Juan Gerardo Alcázar Arribas publications

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2025

  1. Rotational symmetries of 3D point clouds using the covariance matrix and higher-order tensors

    Applied Mathematics Letters, Vol. 162

2024

  1. Computation of symmetries of rational surfaces

    Electronic Research Archive, Vol. 32, Núm. 11, pp. 6087-6108

  2. Detecting affine equivalences between certain types of parametric curves, in any dimension

    AIMS Mathematics, Vol. 9, Núm. 6, pp. 13750-13769

  3. Symmetries of planar algebraic vector fields

    Computer Aided Geometric Design, Vol. 111

2023

  1. A new method to detect projective equivalences and symmetries of rational 3D curves

    Journal of Computational and Applied Mathematics, Vol. 419

  2. Computing symmetries of implicit algebraic surfaces

    Computer Aided Geometric Design, Vol. 104

  3. Computing the topology of the image of a parametric planar curve under a birational transformation

    Computer Aided Geometric Design, Vol. 102

2022

  1. Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design

    Journal of Computational and Applied Mathematics, Vol. 411

  2. Detecting Affine Equivalences Between Implicit Planar Algebraic Curves

    Acta Applicandae Mathematicae, Vol. 182, Núm. 1

  3. Efficient reparametrization into standard form and algorithmic characterization of rational ruled surfaces

    Computer Aided Geometric Design, Vol. 96

  4. 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

  5. Álgebra lineal en Física e Instrumentación Espacial

    Editorial Universidad de Alcalá

2021

  1. Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves[Formula presented]

    Computer Aided Geometric Design, Vol. 91

  2. Computing the form of highest degree of the implicit equation of a rational surface

    Advances in Applied Mathematics, Vol. 123

  3. Exact and approximate similarities of non-necessarily rational planar, parametrized curves, using centers of gravity and inertia tensors

    International Journal of Algebra and Computation, Vol. 31, Núm. 4, pp. 581-603

2020

  1. Affine Equivalences of Trigonometric Curves

    Acta Applicandae Mathematicae, Vol. 170, Núm. 1, pp. 691-708

  2. Affine equivalences, isometries and symmetries of ruled rational surfaces

    Journal of Computational and Applied Mathematics, Vol. 364

  3. Computing the topology of a plane or space hyperelliptic curve

    Computer Aided Geometric Design, Vol. 78

  4. From theoretical to applied geometry – recent developments

    Computer Aided Geometric Design

  5. On the affine image of a rational surface of revolution

    Mathematics, Vol. 8, Núm. 11, pp. 1-17