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Registration of multichannel images using geometric algebra

: Görlitz, Andreas; Seibert, Helmut; Hildenbrand, Dietmar

Skala, V. ; European Association for Computer Graphics -EUROGRAPHICS-:
GraVisMa 2010, 2nd International Workshop on Computer Graphics, Computer Vision and Mathematics. Workshop proceedings : Brno, Czech Republic on September 7 - 10, 2010
Brno: Vaclav Skala - Union Agency, 2010
ISBN: 978-80-86943-85-5
International Workshop on Computer Graphics, Computer Vision and Mathematics (GraVisMa) <2, 2010, Brno>
Fraunhofer IGD ()
registration; geometric algebra (GA); color image processing; Forschungsgruppe Geometric Algebra Computing (GACO)

Geometric Algebra (GA) is a mathematical framework that allows a compact and geometrically intuitive description of geometric relationships and algorithms. In this paper a translation, rotation and scale invariant algorithm for registration of color images and other multichannel data is introduced. The use of Geometric Algebra allows to generalize the well known Fourier Transform which is widely used for the registration of scalar fields. In contrast to the original algorithm our algorithm allows to handle vector valued data in an appropriate way. As a proof of concept the registration results for artificial, as well as for real world data, are discussed.