https://www.dagstuhl.de/18422

14. – 19. Oktober 2018, Dagstuhl-Seminar 18422

Shape Analysis: Euclidean, Discrete and Algebraic Geometric Methods

Organisatoren

Michael Breuß (BTU Cottbus, DE)
Alfred M. Bruckstein (Technion – Haifa, IL)
Christer Oscar Kiselman (Uppsala University, SE)
Petros Maragos (National Technical University of Athens, GR)

Auskunft zu diesem Dagstuhl-Seminar erteilt

Dagstuhl Service Team

Dokumente

Dagstuhl Report, Volume 8, Issue 10 Dagstuhl Report
Motivationstext
Teilnehmerliste
Gemeinsame Dokumente

Summary

Dagstuhl Seminar 18422 Shape Analysis: Euclidean, Discrete and Algebraic Geometric Methods took place October 14–19, 2018. 26 researchers from North America and Europe discussed state-of-the-art, current challenges, and promising future research directions in the areas of 2-D and 3-D shape analysis from a cross-disciplinary point of view. Participants included international experts from the fields of continuous-scale shape analysis, discrete shape analysis, tropical geometry and numerical computing. The seminar consisted of an opening and getting to know session and 26 scientific presentation sessions. Furthermore, there was time for extensive discussions both between the talks and in the evenings.

The topics in our seminar addressed the sketched challenges and developments that will be useful for shape analysis. Especially we aimed to discuss the possibilities of combining fields like tropical geometry with more classical techniques as for instance from mathematical morphology. We discussed possibilities of applying machine learning methods in this context and considered recent advances from more classical fields like differential geometry and partial differential equations that can be useful for setting up and understanding shape analysis methods in all of these approaches.

The purpose of this seminar was to address these challenges with the latest tools related to geometric, algorithmic and numerical concepts. To do so, we brought together researchers working on shape analysis topics from different perspectives. The purpose in bringing together researchers from those different communities sharing substantial interest in shape analysis was to explore the benefits of a cross-disciplinary point of view.

Promising new ways to combine the latest techniques from these different fields were identified during in-depth discussions in small groups. Some especially promising research directions in the areas of deep learning, mathematical morphology, shape from shading, modelling deformable shapes, and tropical geometry were discussed in small groups between the talks and in the evenings.

License
  Creative Commons BY 3.0 Unported license
  Michael Breuß, Alfred M. Bruckstein, Christer Oscar Kiselman, and Petros Maragos

Dagstuhl-Seminar Series

Classification

  • Computer Graphics / Computer Vision
  • Modelling / Simulation
  • Optimization / Scheduling

Keywords

  • Shape analysis
  • Shape reconstruction
  • Mathematical morphology
  • Algebraic geometry
  • Optimization

Buchausstellung

Bücher der Teilnehmer 

Buchausstellung im Erdgeschoss der Bibliothek

(nur in der Veranstaltungswoche).

Dokumentation

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Download Übersichtsflyer (PDF).

Publikationen

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