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Summary: Invariant Greyscale Features for 3D Sensordata
Marc Schael and Sven Siggelkow
Institute for Pattern Recognition and Image Processing
Computer Science Department
University of Freiburg, D79110 Freiburg i. Br., Germany
fschael,siggelkowg@informatik.unifreiburg.de
Abstract
In this paper a technique for the construction of invari
ant features of 3D sensordata is proposed. Invariant grey
scale features are characteristics of greyscale sensordata
which remain constant if the sensordata is transformed ac
cording to the action of a transformation group. The pro
posed features are capable of recognizing 3D objects in
dependent of their orientation and position, which can be
used e. g. in medical image analysis. The computation of
the proposed invariants needs no preprocessing like filter
ing, segmentation, or registration. After the introduction of
the general theory for the construction of invariant features
for 3D sensordata, the paper focuses on the special case
of 3D Euclidean motion which is typical for rigid 3D ob
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