Minisymposium: Phase Information in Signals and Images 

im Rahmen der Jahrestagung von DMV und GDM in München 8.-12. März 2010

Abstract:

• Phase information plays an important role in signal and image processing. For example in signal analysis, phase retrieval of superposed basis functions is a common task. In image analysis, the phase provides information about the image structures, as e.g. edges, independently from the image contrast. In the last years, novel methods from Clifford analysis were established for image processing to retrieve phase information for higher dimensional signals and on various geometries, such as torus and sphere. In the minisymposium, we will illuminate the approaches and establish relationships between the various methods for the development of new algorithms.

Topics:

• Phase retrieval: Signal and image recovery
• Invariance and Covariance: Steerable filters and shift invariant wavelet methods
• Clifford analysis and image processing

Talks:

• Lokale Geometrie aus der Riesz-Phase, Gerald Sommer
• Monogenic Wavelet Frames, Stefan Held
• A Spherical Harmonic Expansion of the Hilbert Transform on S2, Oliver Fleischmann
• Clifford analysis and monogenic signals, Uwe Kähler
• Multi-level discretization of phase reconstruction problems, Dirk Langemann
• On the Instantaneous Phase Stability of Electroencephalographic Corelates of Sensory and Cognitive Processing, Daniel Strauss
• Inversion of noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles, Gerd Teschke

Organizers:

• Brigitte Forster-Heinlein
• Peter Massopust