Monogenic Signals, Riesz Transform and Quaternions for Image Processing

Presenter: Martin Reinhardt, TU Bergakademie Freiberg, Germany

Joint work with Bettina Heise, Swanhild Bernstein

During the recent years the Riesz transform impacted digital image processing applications and physical setups with programmable optics. We want to review the possibilities of the resulting Clifford Wavelet Frames and also show new ways to use monogenic properties. The estimation of image feature orientation is an important task in pattern recognition and other applications. The Riesz transform and resulting monogenic frame constructions form new tool to extract local orientation information. In this paper we present a new framework for the design of steerable local and nonlocal phase orientation estimators based on monogenic frames.