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Internal Report 1/97, AlbertLudwigsUniversit at Freiburg, IIFLMB, Germany, November 1997 The Wiener Theory of Nonlinear Systems and

Summary: Internal Report 1/97, Albert­Ludwigs­Universit¨ at Freiburg, IIF­LMB, Germany, November 1997
The Wiener Theory of Nonlinear Systems and
Algorithms for the Construction of Invariant Image
S. Siggelkow
Albert­Ludwigs­Universit¨ at Freiburg
Institut f¨ ur Informatik
79085 Freiburg i. Br., Germany
sven.siggelkow@informatik.uni­freiburg.de \Lambda
Abstract. The Volterra theory gives a characterization of nonlinear systems in
terms of polynomial functionals. This theory was analysed in comparison to algo­
rithms for the construction of invariant image features in [1] and conditions were
derived so that these features remain constant if the images are transformed accord­
ing to the action of a transformation group. However in general one can observe
a high correlation between different image features, that are constructed that way.
Therefore this paper examines the use of Wiener theory for orthogonalizing these
1 Introduction
Invariant features are data characteristics which remain constant when the data are trans­
formed according to the action of specific transformations. We will mainly focus on image


Source: Albert-Ludwigs-Universität Freiburg, Institut für Informatik,, Lehrstuhls für Mustererkennung und Bildverarbeitung


Collections: Computer Technologies and Information Sciences