A complete set of rotationally and translationally invariant features based on a generalization of the bispectrum to non-commutative groups
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Deriving translation and rotation invariant representations is a fundamental problem in computer vision with a substantial literature. I propose a new set of features which
a, are simultaneously invariant to translation and rotation;
b, are sufficient to reconstruct the original image with no loss (up to a badwidth limit);
c, do not involve matching with a template image or any similar discontinuous operation.
The new features are based on Kakarala`s generalization of the bispectrum to compact Lie groups and a projection onto the sphere. I validated the method on a handwritten digit recognition dataset with randomly translated and rotated digits.
Paper: http://arxiv.org/abs/cs.CV/0701127
This talk is part of the Microsoft Research Machine Learning and Perception Seminars series.
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