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Summary: Vollst¨ andige algebraische Beschreibung und
Parallelisierung von translations und
rotationsinvarianten Transformationen f¨ ur
Grauwertbilder
Michael N¨ olle, Hanns SchulzMirbach
TU HamburgHarburg
Institut f¨ ur Technische Informatik I
Postfach 90 10 52, 21071 Hamburg
M. N¨ olle and H. Schulz--Mirbach, Vollst¨ andige algebraische Beschreibung und Parallelisierung von
translations-- und rotationsinvarianten Transformationen f¨ ur Grauwertbilder, S. Fuchs, R. Hoffmann,
Hrsg., 14. DAGM--Symposium ``Mustererkennung ``, Reihe Springer aktuell, Dresden, pp 3041.
Extended Abstract
The paper presents algorithms for the determination of translation and rotation invariant fea
tures for grayscale images. A complete algebraic description of the resulting feature spaces is given.
That is achieved through the construction of a finite basis for the space of polynomial invariants.
These basis features contain all relevant information since every other feature can be expressed in
this basis by appropriate algebraic functions. Furthermore these basis features are complete in the
sense that they describe a given grayscale image uniquely up to rotations and translations. We pre
sent algorithms for an efficient parallel computation. Experimental results from an implementation
on a multiprocessor machine are given.
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