Nelly Villamizar - Publications

Publications:

  1. Geometric realizations of the ring of spline functions on triangulations [pdf], N. Villamizar, submitted, 2017.
  2. Varieties of apolar subschemes of toric surfaces [pdf], M. Gallet, K. Ranestad and N. Villamizar, accepted for publication in Arkiv för Matematik, 2017.
  3. Planar Linkages Following a Prescribed Motion [pdf], M. Gallet, C. Koutschan, Z. Li, G. Regensburger, J. Schicho and N. Villamizar, Mathematics of Computation, 86 (303), 473-506, 2017. doi: 10.1090/mcom/3120 .
  4. Smooth splines on quad meshes with 4-split macro-patch elements [pdf], A. Blidia, B. Mourrain and N. Villamizar, Computer Aided Geometric Design, Volume 52-53, pp. 106-125, 2017. doi:10.1016/j.cagd.2017.03.003.
  5. Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology [pdf], B. Mourrain, R. Vidunas and N. Villamizar, Computer Aided Geometric Design, 45, 108-133, 2016. doi:10.1016/j.cagd.2016.03.003.
  6. Characterization of hierarchical quartic box splines on a three directional grid [pdf], N. Villamizar, A. Mantzaflaris and B. Jüttler, Computer Aided Geometric Design, 41, 47-61, 2016. doi:10.1016/j.cagd.2015.11.004.
  7. Degenerations of Real Irrational Toric Varieties [pdf], E. Postinghel, F. Sottile and N. Villamizar, Journal of the London Mathematical Society Second Edition, 92 (2), 223-241, 2015. doi: 10.1112/jlms/jdv024.
  8. Bounds on the dimension of spline spaces on triangulations [pdf] , N. Villamizar, Oberwolfach Reports, Multivariate Splines and Algebraic Geometry, 12 (2), 1191-1194, doi:10.4171/OWR/2015/21.
  9. Spline spaces on triangulations [book], N. Villamizar and B. Mourrain, SAGA-Advances in ShApes, Geometry, and Algebra, Results from the Marie Curie Initial Training Network, Springer, Geometry and Computing 10, 177-197, 2014. doi:10.1007/978-3-319-08635-4_10.
  10. Dimension of spline spaces on tetrahedral partitions: a homological approach [pdf], B. Mourrain and N. Villamizar, Mathematics in Computer Sciences, 8(2): 157-174, 2014. doi:10.1007/s11786-014-0187-8.
  11. Ring structure of splines on triangulations [pdf], N. Villamizar, Proceedings Encuentro de Álgebra Computacional y Aplicaciones (EACA), Barcelona, June 2014: pp. 164-167.
  12. Homological techniques for the analysis of the dimension of triangular spline spaces [pdf], B. Mourrain and N. Villamizar, Journal of Symbolic Computation 50, 564-577, 2013. doi:10.1016/j.jsc.2012.10.002.
  13. La conjetura abc [pdf], V. Albis and N. Villamizar, Lecturas Matemáticas, 34(1), 11-75, 2013.