0441249 20240103205743.220150320235959.9 000349635500005 84922789672 10.1109/LSP.2015.2398033 5 s. P cav_un_epca*02532121070-9908229 (2015)1278-1282Institute of Electrical and Electronics Engineers Clifford algebra multivector derivative phase correlation quaternion Wiener filter cav_un_auth*0293889 Pedone M. IT cav_un_auth*0315834 Bayro-Corrochano E. MX cav_un_auth*0101087 Flusser Jan Zpracování obrazové informace Department of Image Processing ZOI ZOI UTIA-B Department of Image Processing Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0293890 Heikkilä J. FI http://library.utia.cas.cz/separaty/2015/ZOI/flusser-0441249.pdf GA13-29225S GA ČR cav_un_auth*0292734 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. 2015 JD 4 http://hdl.handle.net/11104/0245525 S ENGINEERING.ELECTRICAL&ELECTRONIC 1.852 0.449 6.3 0.01575 0.862 5098 0.822 Q1 1.432 483 Q2 73.247 63.2 Q2 Q2 63.23 2015 84922789672 SCOPUS 000349635500005 WOS cav_un_epca*0253212 IEEE Signal Processing Letters 1070-9908 1558-2361 Roč. 22 č. 9 2015 1278 1282 Institute of Electrical and Electronics Engineers