Proceedings of the International Conference
I W S S I P   2005

22 - 24 September 2005, Chalkida Greece
(from Chapter 1: Invited Addresses and Tutorials on Signals, Coding, Systems and Intelligent Techniques)

 Full Citation and Abstract

0 Title: An operator for the analysis of superimposed intrinsically two dimensional patterns
  Author(s): Di Zang, Gerald Sommer
  Address: Cognitive Systems Group, Institute of Computer Science and Applied Mathematics, Christian Albrechts University of Kiel, 24118 Kiel, Germany
  Reference: SSIP-SP1, 2005  pp. 77 - 81
In this paper, we present an operator for the analysis of superimposed intrinsically two dimensional (i2D) patterns. Coupling the ideas of the monogenic signal, the tensor algebra and the quadrature filter, a rotationally invariant operator is derived. This operator is able to capture important features (e.g. amplitude, energy, orientation and phase) of the intrinsically 2D structure. Compared with other approaches, like the structure tensor and the boundary tensor, the main contribution of the proposed operator is the possibility to evaluate the phase information. The energy output is considered as a junction strength to detect the points of interest and the estimated orientation represents the main orientation of the local i2D structure. Experimental results illustrate the features extracted from the proposed operator. As an application, some test results of junction detection are also presented.
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