Refereed papers by Vanessa Robins

Most of the links below are via digital object identifiers. [DOI]
If any of the links are unavailable to you please contact me to arrange reprints.

• V. Robins, P.J. Wood, and A.P. Sheppard
  Theory and algorithms for constructing discrete Morse complexes from grayscale digital images
  IEEE Transactions on pattern analysis and machine intelligence (2010) Accepted for publication 21 January 2010.
• S.J. Ramsden, V. Robins, and S.T. Hyde.
  Three-dimensional Euclidean nets from two-dimensional hyperbolic tilings: kaleidoscopic examples
  Acta Crystallographica Section A: Foundations of Crystallography, 2009, Volume A65, pages 81-108.
  The methods behind our EPINET database.
• V. Robins.
  Betti number signatures of homogeneous Poisson point processes
  Physical Review E 74 (2006) 061107.
• S.T. Hyde, O. Delgado Friedrichs, S.J. Ramsden, V. Robins.
  Towards enumeration of crystalline frameworks: the 2D hyperbolic approach
  Solid State Sciences 8 (2006) 740-752.
• V. Robins, S. Ramsden, and S.T. Hyde.
  A note on the two symmetry-preserving covering maps of the gyroid minimal surface
  European Physical Journal B 48:107-111 (2005)
  
• V. Robins, S. Ramsden, and S.T. Hyde
  2D hyperbolic groups induce three-periodic Euclidean reticulations
  European Physical Journal B 39:365-375 (2004)
  Supplementary online material
• V. Robins, S. Ramsden, and S.T. Hyde
  Symmetry groups and reticulations of the hexagonal H surface
  Physica A 339:173-180 (2004)
  Supplementary online material
• V. Robins, J. Abernethy, N. Rooney, and E. Bradley
  Topology and intelligent data analysis
  Intelligent Data Analysis 8:505-515 (2004)
• V. Robins, N. Rooney, and E. Bradley
  Topology-based signal separation
  Chaos 14:305-316 (2004)
• J.-Y. Arns, V. Robins, A.P. Sheppard, R.M. Sok, W.V. Pinczewski, and M.A. Knackstedt
  Effect of Network Topology on Relative Permeability
  Transport in Porous Media 55:21-46, (2004)
• S.T. Hyde, A.K. Larsson, T. Di Matteo, S. Ramsden, and V. Robins
  Meditation on an engraving of Fricke and Klein (The modular group and geometrical chemistry)
  Australian Journal of Chemistry 56:981-1000, (2003).
• V. Robins
  Computational Topology for Point Data: Betti Numbers of Alpha-Shapes
  pp.261-275, in Morphology of Condensed Matter: Physics and Geometry of Spatially Complex Systems,
  K. Mecke and D. Stoyan (Eds), Lecture Notes in Physics vol. 600, Springer (2002). [springer link]
• V. Robins, J.D. Meiss, and E. Bradley
  Computing connectedness: Disconnectedness and discreteness
  Physica D 139:276-300, (2000)
• V. Robins
  Towards computing homology from finite approximations
  Topology Proceedings, 24:503-532, (1999)
• V. Robins, J.D. Meiss, and E. Bradley
  Computing connectedness: An exercise in computational topology
  Nonlinearity 11:913-922, (1998)
• L. Billings, J.H. Curry, and V. Robins
  Chaos in relaxed Newton's method: The quadratic case
  Contemporary Mathematics 252:63-70, (1999)

PhD Thesis

Computational Topology at Multiple Resolutions
Submitted June 2000. Supervised by Jim Meiss and Liz Bradley in the Department of Applied Mathematics at the University of Colorado, Boulder.