https://www.dagstuhl.de/9041

08. – 12. Oktober 1990, Dagstuhl-Seminar 9041

Algorithmic Geometry

Organisator

H. Alt, E. Welzl

Auskunft zu diesem Dagstuhl-Seminar erteilt

Dagstuhl Service Team

Dokumente

Dagstuhl-Seminar-Report 4

Summary

The first Dagstuhl-seminar on Computational Geometry was organized by Helmut Alt and Emo Welzl (both FU Berlin). The 28 participants came from 10 countries, 7 of them came from North America and Israel.

20 lectures were given at the seminar, covering quite a number of topics in computational geometry. As was to be expected, a large percentage of the talks dealt with randomization in one way or the other, reflecting the current inclination of the community towards this field. Accordingly, a special discussion session on randomized algorithms was held, which in fact attracted most of the participants of the seminar.

Furthermore, two lectures dealt with the actual implementation of geometric algorithms, and two library / development systems were presented.

Other lectures dealt with problems concerning the similarity of two objects, e.g. matching points into regions, or measuring the (Hausdorff-) distance between polygons.

However, the most unforgettable event of the seminar was clearly the open problem session on monday evening, chaired by Ricky Pollack. It was there that Raimund Seidel declared the zone theorem an open problem, since the proof by Edelsbrunner, O'Rourke, Seidel (given e.g. in the book by Herbert Edelsbrunner) is incorrect. The excitement was considerable, and still rose when Jirka Matousek pulled out of his bag a short manuscript entitled A simple proof of weak zone theorem! Micha Sharir also presented some ideas as to how to prove a weak zone theorem, and now there seems to be a new proof for the zone theorem by Herbert Edelsbrunner which proceeds along the same lines.

Dagstuhl-Seminar Series

Dokumentation

In der Reihe Dagstuhl Reports werden alle Dagstuhl-Seminare und Dagstuhl-Perspektiven-Workshops dokumentiert. Die Organisatoren stellen zusammen mit dem Collector des Seminars einen Bericht zusammen, der die Beiträge der Autoren zusammenfasst und um eine Zusammenfassung ergänzt.

 

Download Übersichtsflyer (PDF).

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