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Mission

1. Research, teaching and outreach activities

  • Developing a new generation of stochastic geometry methods with the ultimate purpose of establishing a mathematical and statistical fundament for computer based analysis of advanced bioimaging data.
  • Contributing to the education of the next generation of international researchers in this important discipline at the interface between mathematics, statistics, computer science and bioscience.
  • Developing the Centre into a leading international player within frontier research and research training in stochastic geometry and its applications in advanced bioimaging.

The scientific output of CSGB is evidenced by the high impact journals in which CSGB researchers publish, including Bernoulli, Biometrika, IEEE Transactions on Pattern Analysis and Machine Intelligence, Journal of the American Statistical Association, Journal of Mathematical Imaging and Vision, Journal of the Royal Statistical Society B, Molecular Cell, Nature Neuroscience and Statistical Science.

2. Social responsibility and sustainabity

Publication and dissemination strategy

Research findings are published in internationally recognized scientific journals. Besides, the research groups work for making visions, plans and status of the projects public in a broad sense by, for instance, giving lectures for general audiences and writing articles in popular magazines.

Benefits to science and society

We hope that our research will have a strong impact on the development of stochastic geometry and advanced bioimaging, and the interplay between these two disciplines. The aim is that the developed mathematical, statistical and computational methods will improve the analysis of bioimages substantially. CSGB wants to contribute to the added scientific knowledge in public health-care and the biomedical industry by education of young researchers in analysis of bioimages, produced by modern image modalities and cutting-edge microscopy techniques.

Beyond the second funding period

We will seek funding for establishing international research networks within the themes of CSGB. One obvious possibility is a research network created in close collaboration with our German colleagues in the Research Unit Geometry and Physics of Spatial Random Systems.

Achievements

Rotational integral geometry and digital stereology

Central elements of a theory of rotational integral geometry, complementary to the theory of translative integral geometry, have been developed for Minkowski tensors. This theory makes it possible to develop flexible local methods of describing cell position, cell orientation and cell shape. In digital stereology, it was a breakthrough when a second-order asymptotic formula for configuration counts was established.

Point processes and random shapes

Statistical inference has been developed for a whole range of point process models, the fundamental building blocks of many stochastic geometry models. Modelling and statistical analysis in shape spaces have been developed, including a construction of a metric space of geometric trees and statistical analysis in curved spaces by exact geodesic analysis.

Modelling bioimaging data

Stochastic geometry models have been introduced for modelling of various microscopy and bioimaging data that give access to the molecular level, including laser scanning microscopy and cryo-electron microscopy (cryo-EM).

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Revised 05.02.2018