Differential geometry of monogenic signal representations

Authors:
Lennart Wietzke;Gerald Sommer;Christian Schmaltz;Joachim Weickert
Affiliations:
Institute of Computer Science, Cognitive Systems, Christian-Albrechts-University, Kiel, Germany;Institute of Computer Science, Cognitive Systems, Christian-Albrechts-University, Kiel, Germany;Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Saarbrücken, Germany;Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Saarbrücken, Germany
Venue:
RobVis'08 Proceedings of the 2nd international conference on Robot vision
Year:
2008

Citing 4
Cited 1

The Monogenic Scale-Space: A Unifying Approach to Phase-Based Image Processing in Scale-Space

Journal of Mathematical Imaging and Vision
Signal modeling for two-dimensional image structures

Journal of Visual Communication and Image Representation
Hybrid matrix geometric algebra

IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
The monogenic signal

IEEE Transactions on Signal Processing

The Conformal Monogenic Signal

Proceedings of the 30th DAGM symposium on Pattern Recognition

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Abstract

This paper presents the fusion of monogenic signal processing and differential geometry to enable monogenic analyzing of local intrinsic 2D features of low level image data. New rotational invariant features such as structure and geometry (angle of intersection) of two superimposed intrinsic 1D signals will be extracted without the need of any steerable filters. These features are important for all kinds of low level image matching tasks in robot vision because they are invariant against local and global illumination changes and result from one unique framework within the monogenic scale-space.