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Bibliography

Publications of the year

Articles in International Peer-Reviewed Journals

  • 1M. Abril Bucero, C. Bajaj, B. Mourrain.
    On the construction of general cubature formula by flat extensions, in: Linear Algebra and its Applications, August 2016, vol. 502, pp. 104-125. [ DOI : 10.1016/j.laa.2015.09.052 ]
    https://hal.inria.fr/hal-01158099
  • 2N. Botbol, L. Busé, M. Chardin, S. H. Hassanzadeh, A. Simis, Q. H. Tran.
    Effective criteria for bigraded birational maps, in: Journal of Symbolic Computation, 2016. [ DOI : 10.1016/j.jsc.2016.12.001 ]
    https://hal.inria.fr/hal-01278405
  • 3L. Busé, A. Galligo, J. Zhang.
    Extraction of cylinders and cones from minimal point sets, in: Graphical Models, 2016, vol. 86, pp. 1-12.
    https://hal.inria.fr/hal-01288325
  • 4L. Busé, A. Karasoulou.
    Resultant of an equivariant polynomial system with respect to the symmetric group, in: Journal of Symbolic Computation, 2016, vol. 76, pp. 142-157. [ DOI : 10.1016/j.jsc.2015.12.004 ]
    https://hal.inria.fr/hal-01022345
  • 5D. Clamond, D. Dutykh, A. Galligo.
    Algebraic method for constructing singular steady solitary waves: A case study: Singular solitary waves, in: Proceedings of the Royal Society of London, July 2016, vol. 472, no 2191, 27 p, 6 figures, 26 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/.
    https://hal.archives-ouvertes.fr/hal-01290471
  • 6J. D. Hauenstein, B. Mourrain, A. Szanto.
    On deflation and multiplicity structure, in: Journal of Symbolic Computation, November 2016. [ DOI : 10.1016/j.jsc.2016.11.013 ]
    https://hal.inria.fr/hal-01250388
  • 7E. Hubert, G. Labahn.
    Computing the Invariants of Finite Abelian Groups, in: Mathematics of Computation, November 2016, vol. 85, no 302, 22 p. [ DOI : 10.1090/mcom/3076 ]
    https://hal.inria.fr/hal-00921905
  • 8K. V. Kostas, A. G. Ginnis, C. G. Politis, P. Kaklis.
    Shape-optimization of 2D hydrofoils using an Isogeometric BEM solver, in: Computer-Aided Design, 2016. [ DOI : 10.1016/j.cad.2016.07.002 ]
    https://hal.archives-ouvertes.fr/hal-01382200
  • 9B. Mourrain, K. Schmüdgen.
    Flat extensions in ∗-algebras, in: Proceedings of the American Mathematical Society, November 2016, vol. 144, no 11, pp. 4873-4885. [ DOI : 10.1090/proc/13158 ]
    https://hal.inria.fr/hal-01009909
  • 10B. Mourrain, R. Vidunas, N. Villamizar.
    Geometrically continuous splines for surfaces of arbitrary topology, in: Computer Aided Geometric Design, July 2016, vol. 45, pp. 108-133. [ DOI : 10.1016/j.cagd.2016.03.003 ]
    https://hal.inria.fr/hal-01196996
  • 11J. Shen, L. Busé, P. Alliez, N. Dodgson.
    A Line/Trimmed NURBS Surface Intersection Algorithm Using Matrix Representations, in: Computer Aided Geometric Design, 2016, vol. 48, pp. 1-16. [ DOI : 10.1016/j.cagd.2016.07.002 ]
    https://hal.inria.fr/hal-01268109

Invited Conferences

  • 12I. Z. Emiris.
    Compact Formulae in Sparse Elimination, in: International Symposium on Symbolic and Algebraic Computation (ISSAC '16), Waterloo, Canada, Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation (ISSAC '16), July 2016. [ DOI : 10.1145/2930889.2930943 ]
    https://hal.inria.fr/hal-01401132

International Conferences with Proceedings

  • 13E. Berrini, B. Mourrain, Y. Roux, G. Fontaine, E. Jean.
    Parametric shape modeler for hulls and appendages, in: COMPIT'16, Lecce, Italy, V. Bertram (editor), 15th International Conference on Computer and IT Applications in the Maritime Industries COMPIT'16, May 2016, vol. 15, pp. 255-263.
    https://hal.archives-ouvertes.fr/hal-01373867
  • 14I. Z. Emiris, A. Mantzaflaris, E. Tsigaridas.
    On the Bit Complexity of Solving Bilinear Polynomial Systems, in: ISSAC '16 - 41st International Symposium on Symbolic and Algebraic Computation, Waterloo, Canada, ACM, July 2016, pp. 215-222. [ DOI : 10.1145/2930889.2930919 ]
    https://hal.inria.fr/hal-01401134
  • 15P. Trébuchet, B. Mourrain, M. Abril Bucero.
    Border Basis for Polynomial System Solving and Optimization, in: ICMS 2016 - 5th International Conference on Mathematical Software, Berlin, Germany, G.-M. Greuel, T. Koch, P. Paule, A. Sommese (editors), Mathematical Software - ICMS 2016, Springer, July 2016, vol. 9725, pp. 212-220. [ DOI : 10.1007/978-3-319-42432-3_27 ]
    https://hal.inria.fr/hal-01356869

Other Publications

  • 16E. Berrini, B. Mourrain, Y. Roux, M. Durand, G. Fontaine.
    Geometric modelling and deformation for shape optimization of ship hulls and appendages, September 2016, working paper or preprint.
    https://hal.archives-ouvertes.fr/hal-01373249
  • 17I. Z. Emiris, K. Gavriil, C. Konaxis.
    Interpolation of syzygies for implicit matrix representations, December 2016, working paper or preprint.
    https://hal.inria.fr/hal-01421866
  • 18I. Z. Emiris, A. Karasoulou, C. Tzovas.
    Approximating Multidimensional Subset Sum and the Minkowski Decomposition of Polygons, November 2016, working paper or preprint.
    https://hal.inria.fr/hal-01401896
  • 19E. Hubert.
    Invariantization and Polynomial Systems with Symmetry, January 2016, working paper or preprint.
    https://hal.inria.fr/hal-01254954
  • 20B. Mourrain.
    Polynomial-exponential decomposition from moments, September 2016, working paper or preprint.
    https://hal.inria.fr/hal-01367730
References in notes
  • 21A. Ghosh, T. Papadopoulo, R. Deriche.
    Biomarkers for Hardi: 2nd & 4th order tensor invariants, in: IEEE International Symposium on Biomedical Imaging: From Nano to Macro - 2012, Barcelona, Spain, May 2012.
    https://hal.inria.fr/hal-00667905
  • 22E. Hubert.
    Rational Invariants of a Group Action, in: Journees Nationales de Calcul Formel, CEDRAM - Center for Diffusion of Academic Mathematical Journals, P. Boito, G. Chèze, C. Pernet, M. S. E. Din (editors), Les cours du CIRM, 2013, vol. 3.
  • 23E. Hubert, I. Kogan.
    Rational invariants of a group action. Construction and rewriting, in: Journal of Symbolic Computation, 2007, vol. 42, no 1-2, pp. 203-217.
  • 24E. Hubert, I. Kogan.
    Smooth and algebraic invariants of a group action. Local and global constructions, in: Foundations of Computational Mathematics, 2007, vol. 7, no 4, pp. 355-393.
  • 25T. Papadopoulo, A. Ghosh, R. Deriche.
    Complete Set of Invariants of a 4th Order Tensor: The 12 Tasks of HARDI from Ternary Quartics, in: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2014, Boston, United States, P. Golland, N. Hata, C. Barillot, J. Hornegger, R. Howe (editors), Lecture Notes in Computer Science, September 2014, vol. 8675, pp. 233 - 240. [ DOI : 10.1007/978-3-319-10443-0_30 ]
    https://hal.archives-ouvertes.fr/hal-01092492

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