Orientation fields filtering by derivates of a Gaussian
2003 (English)In: Image Analysis: 13th Scandinavian Conference, SCIA 2003 Halmstad, Sweden, June 29 – July 2, 2003 Proceedings / [ed] Josef Bigun and Tomas Gustavsson, Springer, 2003, Vol. 2749, 307-313 p.Chapter in book (Refereed)
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.
Place, publisher, year, edition, pages
Springer, 2003. Vol. 2749, 307-313 p.
Lecture Notes in Computer Science, ISSN 0302-9743 (print), 1611-3349 (online) ; 2749
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-48573DOI: 10.1007/3-540-45103-X_4ISBN: 3-540-40601-8OAI: oai:DiVA.org:liu-48573DiVA: diva2:269469