Nonlinear functionals in the construction of multiscale affine invariants

Authors:
Esa Rahtu;Mikko Salo;Janne Heikkilä
Affiliations:
Machine Vision Group, Department of Electrical and Information Engineering, University of Oulu, Finland;Department of Mathematics and Statistics, RNI, University of Helsinki, Finland;Machine Vision Group, Department of Electrical and Information Engineering, University of Oulu, Finland
Venue:
SCIA'07 Proceedings of the 15th Scandinavian conference on Image analysis
Year:
2007

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Abstract

In this paper we introduce affine invariants based on a multiscale framework combined with nonlinear comparison operations. The resulting descriptors are histograms, which are computed from a set of comparison results using binary coding. The new constructions are analogous to other multiscale affine invariants, but the use of highly nonlinear operations yields clear advantages in discriminability. This is also demonstrated by the experiments, where comparable recognition rates are achieved with only a fraction of the computational load. The new methods are straightforward to implement and fast to evaluate from given image patches.