Computational
Physics
Research: MORPHOLOGICAL IMAGE ANALYSIS

Left: Time evolution of Euler characteristic for various concentrations of AB9 diblock copolymer in water. Right: Corresponding final configurations

We use concepts from Integral Geometry to analyse geometrical structures encountered in polymer and material science. Two and three dimensional images, obtained from experiment or generated by computer simulation techniques, are characterized in terms of Minkowksi functionals. This approach can be used to study the form and structure of the constituents of the material and provides information which is complementary to that obtained by conventional structure analysis.

Selected publications:
  • K. Michielsen, H. De Raedt, J.Th.M. De Hosson,
    "Aspects of Mathematical Morphology"
    Advances in Imaging and Electron Physics 125, 119 - 195 (2002)
    PDF
  • K. Michielsen and H. De Raedt,
    "Integral-geometry morphological image analysis",
    Phys. Rep. 347, 461 - 538 (2001)
    PDF
  • J.S. Kole, K. Michielsen, H. De Raedt,
    "Morphological image analysis of quantum motion in billiards",
    Phys. Rev. E 63, 016201 (2001)
    PDF
  • K. Michielsen, H. De Raedt,
    "Morphological image analysis"
    Comp. Phys. Comm. 132, 94 - 103 (2000)
    PDF
Presentations:
  • Morphological Characterization of Spatial Patterns
    Powerpoint