Publications

Journal Articles

  1. Gallet, M., Ranestad, K., Villamizar, N. Varieties of apolar subschemes of toric surfaces Arkiv för Matematik 56 1 73 99
  2. Blidia, A., Mourrain, B., Villamizar, N. G 1 -smooth splines on quad meshes with 4-split macro-patch elements Computer Aided Geometric Design 52-53 106 125
  3. Mourrain, B., Vidunas, R., Villamizar, N. Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology Computer Aided Geometric Design 45 108 133
  4. Gallet, M., Koutschan, C., Li, Z., Regensburger, G., Schicho, J., Villamizar, N. Planar linkages following a prescribed motion Mathematics of Computation 86 303 473 506
  5. Villamizar, N., Mantzaflaris, A., Jüttler, B. Characterization of bivariate hierarchical quartic box splines on a three-directional grid Computer Aided Geometric Design 41 47 61
  6. Postinghel, E., Sottile, F., Villamizar, N., Villamizar, N. Degenerations of real irrational toric varieties Journal of the London Mathematical Society 92 2 223 241
  7. Mourrain, B., Villamizar, N. Bounds on the Dimension of Trivariate Spline Spaces: A Homological Approach Mathematics in Computer Science 8 2 157 174
  8. Mourrain, B., Villamizar, N. Homological techniques for the analysis of the dimension of triangular spline spaces Journal of Symbolic Computation 50 564 577