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Summary: Internal Report 3/97, AlbertLudwigsUniversit¨ at Freiburg, IIFLMB, Germany, December 1997
Local Invariant Feature Histograms
for Texture Classification
S. Siggelkow, H. Burkhardt
AlbertLudwigsUniversit¨ at Freiburg
Institut f¨ ur Informatik
79085 Freiburg i. Br., Germany
sven.siggelkow@informatik.unifreiburg.de \Lambda
Abstract. This paper presents a method for texture classification based on invari
ant gray scale features. These features remain constant if the images are transformed
according to the action of a transformation group. The basic method applied for ex
tracting invariant features, is given by an integration over the transformation group.
For the transformation group of planar or Euclidean motion (translation and rota
tion) one can show, that the integration can be split into two parts: The first is the
evaluation of a nonlinear local function for every pixel of the image, and the second
the summing of the results of these local computations. Instead of the second step
we calculate a histogram of the local computations which preserves the invariance
property and is more robust to real texture deviations than a single feature. Fur
thermore in a multidimensional histogram approach the combination of different
features can be performed, thus increasing the discrimination power.
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