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Second MaPhySto and StocLab Summer School on

Stereology and Geometric Tomography

Sandbjerg Estate, 17-21 June, 2002

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The aim of the summer school is to give an overview of modern stereology and its relation to geometric tomography, including both the mathematical and statistical theory and the practical applications. In addition, an introduction to stochastic geometry and image analysis will be given.

The summer school will be held at Sandbjerg Manor, a conference centre owned by the University of Aarhus, situated in the southern part of Jutland, Denmark. The summer school is organized by StocLab (Laboratory for Computational Stochastics) and by MaPhySto (Centre for Mathematical Physics and Stochastics), both Department of Mathematical Sciences, University of Aarhus.

The teaching team consists of

Lectures by invited researchers in related fields such as convex geometry, stochastic geometry and spatial statistics will also be given, as well as lectures by the participants of the summer school.

The summer school is addressed to PhDs, PostDocs and other researchers in mathematics. Scientists from the natural sciences with a strong background and interest in mathematics are also welcome. The number of participants is limited. Participation will therefore be by application only.


(L): Lectures
(TE): Theoretical exercises
(SL): Special invited lectures
(PL): Participants' lectures
(PE): Practical exercises

Monday 17 June 2002

12.00-14.00 Lunch
14.00-14.30 Welcome, presentation of teachers and participants
14.30-15.15 Adrian Baddeley: Analogy between stereology and survey sampling (L)
15.15-15.45 Coffee
15.45-16.30 Eva B. Vedel Jensen: Stereological estimation of number (L)
16.45-17.30 Markus Kiderlen: Crofton's intersection formula for random sets (L)
18.00 Dinner
20.30 Get-together

Tuesday 18 June 2002

09.00-09.45 Richard Gardner: Geometric tomography: an introduction (L)
10.00-10.45 Eva B. Vedel Jensen: Stereological estimation of number (TE)
10.45-11.15 Coffee
11.15-12.00 Hans Jørgen G. Gundersen: Counting and sampling in 3D (microscope demonstration)
12.00-14.00 Lunch
14.00-14.45 Markus Kiderlen: The Boolean model - estimating the number of overlapping particles (L)
14.45-15.15 Coffee
15.15-16.00 Dorte Jensen: Metal structures in four dimensions (SL)
16.15-16.35 Vadim Scherbakov: Coverage problems in the whole space (PL)
16.45-17.05 Janine Illian: The spatial pattern of a natural plant community (PL)
18.00 Dinner
20.00-21.00 Adrian Baddeley: The fractionator (PE)

Wednesday 19 June 2002

08.30-09.15 Richard Gardner: Mixed volumes and dual mixed volumes (L)
09.30-10.15 Adrian Baddeley: Stereological sampling designs, volume estimation (L)
10.15-10.45 Coffee
10.45-11.30 Kiên Kiêu: Length and surface area estimation under isotropy (L)
11.30-12.30 Lunch
12.30-18.30 Excursion
19.00 Summer school dinner

Thursday 20 June 2002

09.00-09.45 Adrian Baddeley: Vertical sections (L)
10.00-10.45 Hans Jørgen G. Gundersen: The banana exercise (PE)
10.45-11.15 Coffee
11.15-12.00 Richard Gardner: Dual volumes and local stereology (L)
12.00-14.00 Lunch
14.00-14.45 Markus Kiderlen: Directional analysis of fibre systems (L)
14.45-15.15 Coffee
15.15-16.00 Kiên Kiêu: Variance estimation in stereology (L)
16.15-16.45 Asger Hobolth: Model-based variance estimation in stereology (SL)
16.55-17.15 Michaela Prokesova: Estimation of the 3D rose of directions using MCMC(PL)
17.25-17.45 Erik Mejdal Lauridsen: 3D grain maps using the 3D x-ray diffraction microscope (PL)
18.00 Dinner
20.00-21.00 Eva B. Vedel Jensen: Length and surface area estimation under isotropy? (TE)

Friday 21 June 2002

09.00-09.45 Joachim Ohser: 3D image analysis - measurement of quermass densities of macroscopically homogeneous random sets (SL)
10.00-10.45 Kiên Kiêu: Variance estimation in stereology (TE)
10.45-11.15 Coffee
11.15-12.00 Eva B. Vedel Jensen: Local stereology (L)
12.00 Lunch and departure

Travel information: How to reach Sandbjerg Manor

Address: Sandbjerg Manor, Sandbjergvej 102, DK-6400 Sønderborg

By car from the E45 southbound:
Take exit 71 (Kruså) towards Sønderborg (road no. 41). In Vester Sottrup, 7.6 km before Sønderborg, a sign on the left reads: Sandbjerg 3 km.
By car from the E45 northbound:
Take exit 75 (Kruså) towards Sønderborg (road no. 8). Driva via Kruså, Rinkenæs and Egernsund to Broager. From here, turn north towards Nybøl and Vester Sottrup where there is a sign which reads: Sandbjerg 3 km.
By car from Bøjden-Fynshav:
Immediately after the bridge over the Alssund, turn right towards Aabenraa (road no. 41). In Ragebøl, 4.2km from Sønderborg, there is a sign which reads: Sandbjerg 3 km.
By air:
From Sønderborg Airport there is a 10 kilometre drive by taxi to Sandbjerg.
By train:
From Sønderborg Railway Station there is a 6 kilometre drive by taxi to Sandbjerg.

From you may find some maps of Demnark (choose 'Kraks Kort' and then 'Oversigtskort' and use the zoom-facilities).

More Information

Please make further inquiries to MaPhySto ( or to the organizer Eva B. Vedel Jensen (

(This announcement is also available in [ postscript-format | pdf-format ])

This document,, was last modified January 19, 2004. Questions or comments to the contents of this document should be directed to