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Bibliography

Publications of the year

Articles in International Peer-Reviewed Journals

  • 1D. Berdinsky, T. Kim, C. Bracco, D. Cho, B. Mourrain, O. Min-Jae, S. Kiatpanichgij.

    Dimensions and bases of hierarchical tensor-product splines, in: Journal of Computational and Applied Mathematics, February 2014, vol. 257, pp. 86-104. [ DOI : 10.1016/j.cam.2013.08.019 ]

    https://hal.inria.fr/hal-00876557
  • 2A. Bernardi, J. Brachat, B. Mourrain.

    A comparison of different notions of ranks of symmetric tensors, in: Linear Algebra and its Applications, November 2014, vol. 460, pp. 205–230.

    https://hal.inria.fr/hal-00746967
  • 3N. Botbol, L. Busé, M. Chardin.

    Fitting ideals and multiple points of surface parameterizations, in: Journal of Algebra, December 2014, vol. 420, pp. 486-508. [ DOI : 10.1016/j.jalgebra.2014.07.028 ]

    https://hal.inria.fr/hal-00874221
  • 4L. Busé.

    Implicit matrix representations of rational Bézier curves and surfaces, in: Computer-Aided Design, 2014, vol. 46, pp. 14-24, Presented at the SIAM conference of Geometric and Physical Modeling (GD/SPM), November 11-14, 2013 at Denver, Colorado, USA. [ DOI : 10.1016/j.cad.2013.08.014 ]

    https://hal.inria.fr/hal-00847802
  • 5L. Busé, J.-P. Jouanolou.

    On the discriminant scheme of homogeneous polynomials, in: Mathematics in Computer Science, June 2014, vol. 8, no 2, pp. 175-234, arXiv reference : arXiv:1210.4697. [ DOI : 10.1007/s11786-014-0188-7 ]

    https://hal.inria.fr/hal-00747930
  • 6A. Galligo, C. D'Andrea, M. Sombra.

    Quantitative Equidistribution for the Solutions of Systems of Sparse Polynomial Equations, in: American Journal of Mathematics, 2014.

    https://hal.inria.fr/hal-00918250
  • 7B. Mourrain.

    On the dimension of spline spaces on planar T-meshes, in: Mathematics of Computation, March 2014, vol. 83, pp. 847-871.

    https://hal.inria.fr/inria-00533187
  • 8B. Mourrain, N. Villamizar.

    Bounds on the dimension of trivariate spline spaces: A homological approach, in: Mathematics in Computer Science, June 2014, vol. 8, no 2, pp. 157-174. [ DOI : 10.1007/s11786-014-0187-8 ]

    https://hal.inria.fr/hal-00879100
  • 9E. Musso, E. Hubert.

    Lagrangian Curves in Affine Symplectic 4-space, in: Acta Applicandae Mathematicae, December 2014, vol. 134, no 1, pp. 133-160.

    https://hal.inria.fr/hal-00818823
  • 10G. Xu, B. Mourrain, A. Galligo, T. Rabczuk.

    High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods, in: Computational Mechanics, November 2014, vol. 54, no 5, pp. 1303-1313. [ DOI : 10.1007/s00466-014-1060-y ]

    https://hal.archives-ouvertes.fr/hal-00922544

International Conferences with Proceedings

  • 11B. Mourrain, P. Trebuchet.

    Toric Border Basis, in: Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation (ISSAC), Kobe, Japan, ACM New York, NY, USA, July 2014, pp. 343-350. [ DOI : 10.1145/2608628.2608652 ]

    https://hal.inria.fr/hal-00994683

Other Publications