Publications by the researcher in collaboration with Sonia Pérez Díaz (22)

2024

  1. Birational reparameterizations of surfaces

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 118, Núm. 3

2022

  1. On the Base Point Locus of Surface Parametrizations: Formulas and Consequences

    Communications in Mathematics and Statistics, Vol. 10, Núm. 4, pp. 757-783

2015

  1. Computing the singularities of rational surfaces

    Mathematics of Computation, Vol. 84, Núm. 294, pp. 1991-2021

2013

  1. Behavior of the Fiber and the Base Points of Parametrizations Under Projections

    Mathematics in Computer Science, Vol. 7, Núm. 2, pp. 167-184

2012

  1. On the singular locus of rational surface parametrizations

    Libro de Resúmenes del XIII Encuentro de Álgebra Computacional y Aplicaciones: EACA 2012

2010

  1. A first approach towards normal parametrizations of algebraic surfaces

    International Journal of Algebra and Computation, Vol. 20, Núm. 8, pp. 977-990

  2. Approximate parametrization of plane algebraic curves by linear systems of curves

    Computer Aided Geometric Design, Vol. 27, Núm. 2, pp. 212-231

2009

  1. Parametrization of ε-rational curves (Extended Abstract)

    Proceedings of the 2009 Conference on Symbolic Numeric Computation, SNC 2009

2008

  1. A univariate resultant-based implicitization algorithm for surfaces

    Journal of Symbolic Computation, Vol. 43, Núm. 2, pp. 118-139

  2. Approximate Parametrization of Algebraic Affine Plane Curves

    EACA 2008: XI Encuentro de Álgebra Computacional y Aplicaciones : Granada, del 10 al 12 de septiembre

  3. El reto de parametrizar curvas y superficies algebraicas de forma aproximada

    Gaceta de la Real Sociedad Matematica Española, Vol. 11, Núm. 3, pp. 521-541

2007

  1. Finite piecewise polynomial parametrization of plane rational algebraic curves

    Applicable Algebra in Engineering, Communications and Computing, Vol. 18, Núm. 1-2, pp. 91-105

2006

  1. Distance bounds of ε{lunate}-points on hypersurfaces

    Theoretical Computer Science, Vol. 359, Núm. 1-3, pp. 344-368

2005

  1. Parametrization of approximate algebraic surfaces by lines

    Computer Aided Geometric Design, Vol. 22, Núm. 2, pp. 147-181

  2. Partial degree formulae for rational algebraic surfaces

    Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

2004

  1. Computation of the degree of rational surface parametrizations

    Journal of Pure and Applied Algebra, Vol. 193, Núm. 1-3, pp. 99-121

  2. Parametrization of approximate algebraic curves by lines

    Theoretical Computer Science, Vol. 315, Núm. 2-3, pp. 627-650

2003

  1. Computing all parametric solutions for blending parametric surfaces

    Journal of Symbolic Computation, Vol. 36, Núm. 6, pp. 925-964