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Summary: Invariant Feature Histograms for Texture Classification
S. Siggelkow, H. Burkhardt
Institut f¨ ur Informatik, AlbertLudwigsUniversit¨ at Freiburg
79085 Freiburg i. Br., Germany
sven.siggelkow@informatik.unifreiburg.de \Lambda
Abstract. In this paper nonlinear invariant
feature histograms are introduced. By inte
grating nonlinear functions over the group of
Euclidean motion we extract features that are
invariant with respect to translation and rota
tion and from which a unique representation
can be formed. One can show, that the inte
gration can be split into two parts: First for
every pixel of the image a nonlinear local func
tion is evaluated, and then these results are
averaged. Instead of the second step we cal
culate a fuzzy histogram of the local computa
tions which preserves the invariance property
and is more robust with respect to texture
variations or defects. Furthermore in a mul
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