Publications:Orientation fields filtering by derivatives of a Gaussian

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Title Orientation fields filtering by derivatives of a Gaussian
Author Josef Bigun and Tomas Bigun and Kenneth Nilsson
Year 2003
PublicationType Conference Paper
Journal
HostPublication Proceedings of the 13th Scandinavian Conference on Image Analysis (SCIA 2003), Halmstad, Sweden, Date: jun 29-jul 02, 2003
Conference 13th Scandinavian Conference on Image Analysis (SCIA 2003), Halmstad, Sweden, Date: jun 29-jul 02, 2003
DOI http://dx.doi.org/10.1007/3-540-45103-X_4
Diva url http://hh.diva-portal.org/smash/record.jsf?searchId=1&pid=diva2:408404
Abstract We suggest a set of complex differential operators, symmetry derivatives, that can be used for matching and pattern recognition. We present results on the invariance properties of these. These show that all orders of symmetry derivatives of Gaussians yield a remarkable invariance : they are obtained by replacing the original differential polynomial with the same polynomial but using ordinary scalars. Moreover, these functions are closed under convolution and they are invariant to the Fourier transform. The revealed properties have practical consequences for local orientation based feature extraction. This is shown by two applications: i) tracking markers in vehicle tests ii) alignment of fingerprints.