Publicaciones

Books

- Rational Algebraic Curves: A Computer Algebra Approach.
With R. Sendra and F. Winkler.
Springer-Verlag Heidelberg, in series Algorithms and Computation in Mathematics. Volume 22. (2007)


- Introducción a la computación simbólica y facilidades Maple.
With R. Sendra, J. Sendra and C. Villarino.
Segunda Edición. Editorial Ra-Ma (2012). [Primera Edición: Addlink Media. 2009.]


- Modelos aleatorios en Ingeniería.
With A. Blasco.
Editorial Paraninfo. ISBN: 9788428337236 (2015)


Special Issue

- Special Issue "New Trends in Algebraic Geometry and Its Applications".
Mathematics (ISSN 2227-7390). To appear. (2021)


Reseach Papers

- On the base point locus of surface parametrizations: formulas and consequences.
With David Cox and J. Rafael Sendra.
Communications in Mathematics and Statistics. DOI: 10.1007/s40304-021-00257-4. To appear. (2021)


- The μ-basis of improper rational parametric surface and its application.
With Li-Yong Shen.
Mathematics. DOI: 10.3390/math9060640. Vol. 9, 640. (2021)


- Computing the μ-bases of algebraic monoid curves and surfaces.
With Li-Yong Shen.
Computers & Graphics. DOI: 10.1016/j.cag.2021.04.011. Vol. 97. pp. 78-87. (2021)


- A Maple package to deal with the birationality of curves and surfaces parametrizations.
With Jorge Caravantes and J. Rafael Sendra.
Communications in Computer and Information Science Series. Springer Nature Switzerland AG. (Maple Conference 2020 Proceedings). DOI: 10.1007/978-3-030-81698-8_10. Vol. 1414. pp. 137-151. (2021)


- Inversion, Degree, Reparametrization and Implicitization of Rational Planar Curves Using μ-Basis.
With Li-Yong Shen.
Computer Aided Geometric Design. DOI: 10.1016/j.cagd.2021.101957. Vol. 84, 101957. (2021)


- The T-function of a Parametric Curve.
Quaestiones Mathematicae. DOI: 10.2989/16073606.2021.1895899. pp. 1–29. (2021)


- A Survey of the Representations of Rational Ruled Surfaces.
With Li-Yong Shen and C-M. Yuan.
Journal of Systems Science and Complexity. DOI: 10.1007/s11424-020-0018-8. To appear. (2021)


- Computing Birational Polynomial Surface Parametrizations without Base Points.
With J. Rafael Sendra.
Mathematics. DOI: 10.3390/math8122224. Vol. 8, 2224. (2020)


- Computing the form of highest degree of the implicit equation of a rational surface.
With J.G Alcázar.
Advances in Applied Mathematics. DOI: 10.1016/j.aam.2020.102128. Vol. 123. 102128. (2020)


- A Symbolic-Numeric Approach for Parametrizing Ruled Surfaces.
With Li-Yong Shen.
Journal of Systems Science and Complexity. DOI: 10.1007/s11424-019-8188-y. Vol. 33. pp. 799–820. (2020)


- Parameterization of rational translational surfaces.
With Li-Yong Shen.
Theoretical Computer Science. DOI: 10.1016/j.tcs.2017.08.005. Vol. 835. pp. 156–167. (2020)


- A New Approach for Computing the Asymptotes of a Parametric Curve.
With A. Blasco.
Journal of Computational and Applied Mathematics. DOI: 10.1016/j.cam.2019.112350. Vol. 364. pp. 1-18. 112350. (2020)


- Representing rational curve segments and surface patches using semi-algebraic sets.
With Li-Yong Shen, Ron Goldman and Yifei Feng.
Computer Aided Geometric Design. DOI: 10.1016/j.cagd.2019.101770. Vol. 74. 101770. (2019)


- Numerical Proper Reparametrization of Space Curves and Surfaces.
With Li-Yong Shen and Zhengfeng Yang.
Computer Aided-Design. DOI: 10.1016/j.cad.2019.07.001. Vol. 116. pp. 1-16. 102732. (2019)


- On the Computation of Singularities of Parametrized Ruled Surfaces.
Advances in Applied Mathematics. DOI: 10.1016/j.aam.2019.07.005. Vol. 110. pp. 270-298. (2019)


- An in Depth Analysis, via Resultants, of the Singularities of a Parametric Curve.
With A. Blasco.
Computer Aided Geometric Design. DOI: doi.org/10.1016/j.cagd.2018.12.003. Vol. 68. pp. 22-47. (2019)


- The limit point and the T-function.
With A. Blasco.
Journal of Symbolic Computation. DOI: 10.1016/j.jsc.2018.06.009. Vol. 94. pp. 30-51. (2019)


- Numerical Polynomial Reparametrization of Rational Curves.
With Li-Yong Shen.
Computer Aided Geometric Design. DOI: 10.1016/j.cagd.2019.04.002. Vol.71. pp. 90-104. (2019)


- Recent Advances on the Problem of ProperReparametrization for Rational Surfaces.
Advances in Mathematics Research. Nova Science Publishers (Albert R. Baswell. Editor). Vol 25. pp. 203-225. (2019)


- A Survey on Recent Advances and Future Challenges in the Computation of Asymptotes.
With A. Blasco.
lnternational Journal of Mathematics and Systems Science. DOI: To appear. (2019)


- Analysis and construction of rational curve parametrizations with non--ordinary singularities.
Computer Aided Geometric Design. DOI: 10.1016/j.cagd.2018.08.002. Volume 66, pp. 31-51. (2018)


- Determination and (re)parametrization of rational developable surfaces.
With Li-Yong Shen.
Journal of Systems Science and Complexity. Volume 28, Issue 6, pp 1426-1439. DOI: 10.1007/s11424-015-3119-z. (2015)


- A connection between birational automorphisms of the plane and linear system of curves.
Journal of Computational and Applied Mathematics. Volume 283, pp. 91–105. DOI: 10.1016/j.cam.2015.01.026. (2015)


- Characterizing the finiteness of the Hausdorff distance between two algebraic curves.
With A. Blasco.
Journal of Computational and Applied Mathematics. Volume 280, pp. 327-346. DOI: 10.1016/j.cam.2014.12.005. (2015)


- Asymptotes of Space Curves.
With A. Blasco.
Journal of Computational and Applied Mathematics. Volume 278, pp. 231-247. DOI: 10.1016/j.cam.2014.10.013. (2015)


- Numerical Proper Reparametrization of Parametric Plane Curves.
With Li-Yong Shen.
Journal of Computational and Applied Mathematics. Volume 277, pp. 138-161. DOI: 10.1016/j.cam.2014.09.012. (2015)


- Computing the Singularities of Rational Surfaces.
With R. Sendra, and C. Villarino.
Mathematics of Computation. Volume 84, Number 294, pp. 1991–2021. DOI: 10.1090/S0025-5718-2014-02907-4 (2015)


- Asymptotic Behavior of an Implicit Algebraic Plane Curve.
With A. Blasco.
Computer Aided Geometric Design. Volume 31, Issue 7-8, pp. 345-357. (2014)


- Parametrization of Translational Surfaces.
With Li-Yong Shen.
Proceedings SNC2014, 128-129. Shanghai, China, 2014. ACM. (2014)


- Asymptotes and Perfect Curves.
With A. Blasco.
Computer Aided Geometric Design. Volume 31, Issue 2, pp. 81-96. (2014)


- Characterization of Rational Ruled Surfaces.
With Li-Yong Shen.
Journal of Symbolic Computation. Volume 63, pp. 21–45. (2014)


- A Partial Solution to the Problem of Proper Reparametrization for Rational Surfaces.
Computer Aided Geometric Design. Volume 30, Issue 8. pp. 743–759. (2013)


- Behavior of the Fiber and the Base Points of Parametrizations under Projections.
With R. Sendra.
Mathematics in Computer Science. Volume 7, Issue 2. pp. 167-184. (2013)


- A First Approach Towards Normal Parametrizations of Algebraic Surfaces.
With R. Sendra, and C. Villarino.
International Journal of Algebra and Computation. Volume No.20, Issue N. 8. pp. 977-990. (2010)


- Approximate parametrization of plane algebraic curves by linear systems of curves.
With R. Sendra, J.Sendra and S.L. Rueda.
Computer Aided Geometric Design. Vol 27. pp. 212–231. (2010)


- Parametrization of E-rational curves.
With R. Sendra, J.Sendra and S.L. Rueda.
Proceedings SNC2009, 199-200. Kyoto, 2009. ACM. (2009)


- El reto de parametrizar curves y superficies de forma aproximada.
With R. Sendra, J.Sendra and S.L. Rueda.
Gaceta de la RSME vol. 11, pp. 521-541. (2008)


- A univariate resultant-based implicitization algorithm for surfaces.
With R. Sendra.
Journal of Symbolic Computation. Vol 43/2. pp 118-139. (2008)


- Computation of the Singularities of Parametric Plane Curves.
Journal of Symbolic Computation. Vol. 42/8. pp. 835-857. (2007)


- Inversion, Degree and Reparametrization for Rational Surfaces.
Lectures Notes in Computer Science. Mathematics of Surfaces XII. Springer Verlag. pp. 320-340. (2007)


- On the Approximate Parametrization of Perturbed Algebraic Curves and Surfaces.
With J. Sendra and C. Villarino.
ACM SIGSAM Bulletin Vol.41 no.2 pp.62-64. (2007)


- Finite Piecewise Polynomial Parametrization of Plane Rational Algebraic Curves.
With R. Sendra and C.Villarino.
Applicable Algebra in Engineering, Communication and Computing. Vol 18. no. 1-2, pp. 91-105. (2007)


- On the Problem of Proper Reparametrization for Rational Curves and Surfaces.
Computer Aided Geometric Design. Vol. 23/4. pp. 307-323. (2006)


- Distance Bounds of ε-Points on Hypersurfaces.
With R. Sendra and J.Sendra.
Theoretical Computer Science. Vol 359. N. 1-3. pp. 344-368. (2006)


- The Degree of Rational Surface Parametrizations.
With R. Sendra.
Actas del Congreso ICM-2006 (Madrid). pp. 500-501. (2006)


- Parametrizations of Approximate Algebraic Surfaces by Lines.
With R. Sendra and J.Sendra.
Computer Aided Geometric Design. Vol 22/2. pp. 147-181. (2005)


- Partial Degree Formulae for Rational Algebraic Surfaces.
With R. Sendra.
Actas del Congreso ISSAC (2005). (Beijing, China). pp. 301-308. (2005)


- The Challenge of Approximately Parametrizing Algebraic Curves and Surfaces.
With R. Sendra and J.Sendra.
Actas del congreso Algorithmic Algebra and Logic 2005. Dolzmann, Seild, Sturm. (eds) pp.187-194. (2005)


- Computation of the Degree of Rational Surface Parametrizations.
With R. Sendra.
Journal of Pure and Applied Algebra. Vol 193/1-3. pp. 99-121. (2004)


- Parametrizations of Approximate Algebraic Curves by Lines.
With R. Sendra and J.Sendra.
Theoretical Computer Science on Algebraic - Numeric Algorithms. Vol. 315/2-3. pp.627-650. (2004)


- Distance Properties of Epsilon Points on Algebraic Curves.
With R. Sendra and J.Sendra.
Series Mathematics and Visuatization. Springer-Verlag. In Computational Methods for Algebraic Spline Surfaces. pp.45-61. (2004)


- Algebraic Methods in Computer Aided Geometric Design: Theoretical and Pratical Applications.
With L. González-Vega, I. Necula, R.Sendra and J.Sendra.
Geometric Computation. Falai Chen and Dongming Wang (eds.). Lecture Notes Series on Computing Vol. 11, Chapter 1, pp. 1-33, World Scientific Publishing Co., Singapore (2004)


- Computing All Parametric Solutions for Blending Parametric Surfaces.
With R. Sendra.
Journal of Symbolic Computation 36/6, 925-964 (2003)


- Variedades Paramétricas: Algoritmos y Aplicaciones en Blending Geométrico.
Tesis Doctoral. Septiembre 2003, Universidad de Alcalá.


- Properness and Inversion of Rational Parametrizations of Surfaces.
With R. Sendra and J. Schicho.
Applicable Algebra in Engineering, Communication and Computing. Vol. 13, pp. 29-51 (2002)


- An Algorithmic Criterion for Deciding the Properness of Rational Parametrizations.
With R. Sendra and J. Schicho.
ACM SIGSAM Bulletin Vol.35 no.4 pp.21. (2001)


- Parametric G^1 Blending of Several Surfaces.
With R. Sendra.
Computer Algebra in Scientific Computing, Ganzha V.G., Mayr E.W., Vorozhtsov E.V. (eds), pp. 445-461. Springer Verlag (2001)


- An Algorithmic Criterion for Deciding the Properness of Rational Parametrizations.
With R. Sendra and J. Schicho.
Tech. Report no. 00-22, Austria (2000)




More information can be found, e.g., on:


- MathSciNet. MR Author ID: 693277

- Google Scholar

- ORDIC: orcid.org/0000-0002-0174-5325

- SCOPUS: Author ID: 6507390081

- RESEARCHERID: P-7030-2015