Quaternion Wiener Deconvolution for Noise Robust Color Image Registration

0441249 - ÚTIA 2015 RIV US eng J - Journal Article
Pedone, M. - Bayro-Corrochano, E. - Flusser, Jan - Heikkilä, J.
Quaternion Wiener Deconvolution for Noise Robust Color Image Registration.
IEEE Signal Processing Letters. Roč. 22, č. 9 (2015), s. 1278-1282. ISSN 1070-9908. E-ISSN 1558-2361
R&D Projects: GA ČR GA13-29225S
Keywords : Clifford algebra * multivector derivative * phase correlation * quaternion * Wiener filter
Subject RIV: JD - Computer Applications, Robotics
Impact factor: 1.661, year: 2015
http://library.utia.cas.cz/separaty/2015/ZOI/flusser-0441249.pdf

In this letter, we propose a global method for registering color images with respect to translation. Our approach is based on the idea of representing translations as convolutions with unknown shifted delta functions, and performing Wiener deconvolution in order to recover the shift between two images.We then derive a quaternionic version of theWiener deconvolution filter in order to register color images. The use of Wiener filter also allows us to explicitly take into account the effect of noise. We prove that the well-known algorithm of phase correlation is a special case of our method, and we experimentally demonstrate the advantages of our approach by comparing it to other known generalizations of the phase correlation algorithm.
Permanent Link: http://hdl.handle.net/11104/0245525