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Registration of Multichannel Images Using Geometric Algebra

Görlitz, Andreas ; Seibert, Helmut ; Hildenbrand, Dietmar (2010)
Registration of Multichannel Images Using Geometric Algebra.
2nd International Workshop on Computer Graphics, Computer Vision and Mathematics.
Konferenzveröffentlichung, Bibliographie

Kurzbeschreibung (Abstract)

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.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2010
Autor(en): Görlitz, Andreas ; Seibert, Helmut ; Hildenbrand, Dietmar
Art des Eintrags: Bibliographie
Titel: Registration of Multichannel Images Using Geometric Algebra
Sprache: Englisch
Publikationsjahr: 2010
Verlag: Vaclav Skala Union Agency, Plzen
Veranstaltungstitel: 2nd International Workshop on Computer Graphics, Computer Vision and Mathematics
Kurzbeschreibung (Abstract):

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.

Freie Schlagworte: Forschungsgruppe Geometric Algebra Computing (GACO), Registration, Geometric algebra (GA), Color image processing
Fachbereich(e)/-gebiet(e): 20 Fachbereich Informatik
20 Fachbereich Informatik > Graphisch-Interaktive Systeme
Hinterlegungsdatum: 12 Nov 2018 11:16
Letzte Änderung: 12 Nov 2018 11:16
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