Conformal Monogenic Frames for Image Analysis

Funded by the DAAD-PPP-Program Acções Integradas Luso-Alemãs, Project-ID 54367931

from 1/2012 to 12/2013.

Partners

• German Head of Project: Prof. Dr. Brigitte Forster-Heinlein
• Portuguese Head of Project: Prof. Uwe Kähler , University of Aveiro, Portugal.

Research Topic

Conformal monogenic signals - in contrast to classical monogenic signals - include a curvature term, which allows for the detection of curve singularities. In the project, we will combine spline frames with the idea of the conformal monogenic signal to make these common analysis families available for higher dimensional image processing with phase information.

Activities

• 6. - 18. Feb. 2012: Visit by Uwe Kähler, Paula Cerejeiras and Milton Ferreira in Munich
• 22.- 30. March 2012: Visit by Jürgen Frikel, Martin Storath and Stefan Held in Aveiro
• 14th Workshop on Applications and Generalizations of Complex Analysis, March, 23-24, 2012, at the University of Aveiro
• 17th European Intensive Course , March 26-30, 2012, at the University of Aveiro
• Summer school New Trends and Directions in Harmonic Analysis, Fractional Operator Theory, and Image Analysis, Inzell, Germany, September 17 - 21, 2012

Presentations

07. Februar 2012, 11 Uhr

• Oberseminar Mathematische Bildverarbeitung
• Prof. Dr. Uwe Kähler , University of Aveiro, Portugal
• Titel: Mehrdimensionale Funktionentheorien und hyperkomplexe Signale
• Ort: Helmholtz Zentrum München, Rechenzentrum, Oktogon, Raum 160a.

13. Februar 2012, 13 Uhr

• Oberseminar Mathematische Bildverarbeitung
• Prof. Dr. Milton Ferreira , Polytechnic Institute of Leiria, Portugal
• Titel: Spherical wavelets generated by the Möbius gyrogroup
• Raum: MI 03.04.011

14. Februar 2012, 11 Uhr

• Oberseminar Mathematische Bildverarbeitung
• Prof. Dr. Paula Cerejeiras , University of Aveiro, Portugal
• Titel: Spherical diffraction patterns - the noisy Radon transform on SO(3)
• Ort: Helmholtz Zentrum München, Institut für Biomathematik und Biometrie, Raum 121.

Participants

• Paula Cerejeiras , Universidade de Aveiro
• Milton Ferreira , Polytechnic Institute of Leiria
• Brigitte Forster-Heinlein , TU München
• Jürgen Frikel, HMGU
• Narciso Gomes, Universidade de Aveiro
• Stefan Held, TU München
• Uwe Kähler , Universidade de Aveiro
• Min Ku, Universidade de Aveiro
• Peter Massopust, HMGU
• Martin Storath, HMGU