![Left: Time evolution of Euler characteristic for various concentrations of AB9 diblock copolymer in water. Right: Corresponding final configurations](mia.png)
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)
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- K. Michielsen and H. De Raedt,
"Integral-geometry morphological image analysis",
Phys. Rep. 347, 461 - 538 (2001)
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- J.S. Kole, K. Michielsen, H. De Raedt,
"Morphological image analysis of quantum motion in billiards",
Phys. Rev. E 63, 016201 (2001)
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- K. Michielsen, H. De Raedt,
"Morphological image analysis"
Comp. Phys. Comm. 132, 94 - 103 (2000)
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Presentations:
- Morphological Characterization of Spatial Patterns
Powerpoint