Project Groups
Stochastic geometry and statistical image analysis

- Local stereology: observing planar and linear samples with uniform orientation distribution through the nucleus of a simulated cell. See: Eva B. Vedel Jensen (1998) Local Stereology, World Scientific, Singapore
Principal investigators:
Eva B. Vedel Jensen and Markus Kiderlen
Project members:
Jérémy Auneau, Gunnar Hellmund, Linda V. Hansen, Elisabeth Pedersen
Research partners:
- Adrian Baddeley, University of Western Australia
- Daryl J. Daley, Australian National University
- Richard Gardner, Western Washington University
- Daniel Hug, University of Karlsruhe
- Kristjana Yr Jonsdottir, CFIN
- Günter Last, University of Karlsruhe
- Torben E. Lund, CFIN
- Kim Mouridsen, CFIN
- Jens R. Nyengaard, Stereology and EM Research Laboratory
- Michaela Prokešova, Charles University
- Jan Rataj, Charles University
- Thordis Thorarinsdottir, University of Washington
- Wolfgang Weil, University of Karlsruhe
- Johanna Ziegel, RiskLab
- L. Østergaard, CFIN
Focus Points:
Stochastic geometry, digital stereology, Lévy driven Cox processes, modelling of new image modalitites in neuroscience
An example project:
One of the focus points of the project group is digital stereology, which combines classical stereological methods with image analysis and morphology to obtain estimators of geometric properties from digital images of real world structures. An description of an example project on an introductory level can be found here (pdf-file).
Recent publications:
- Error bounds for surface area estimators based on Crofton's formula
Markus Kiderlen and Daniel Meschenmoser - Expressing intrinsic volumes as rotational integrals
Jérémy Auneau and Eva B. Vedel Jensen - Closed form of the rotational Crofton formula
Jérémy Auneau, Jan Rataj and Eva B. Vedel Jensen - Systematic sampling with errors in sample locations
Johanna Ziegel, Adrian Baddeley, Karl-Anton Dorph-Petersen and Eva B. Vedel Jensen - Completely random signed measures
Gunnar Hellmund
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