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Registration of Multichannel Images Using Geometric Algebra

Görlitz, Andreas (2010)
Registration of Multichannel Images Using Geometric Algebra.
Technische Universität Darmstadt
Bachelorarbeit, 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 thesis a translation, rotation and scale invariant algorithm for registration of color images and other multichannel data is introduced. The use of Geometric Algebra allows generalizing 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: Bachelorarbeit
Erschienen: 2010
Autor(en): Görlitz, Andreas
Art des Eintrags: Bibliographie
Titel: Registration of Multichannel Images Using Geometric Algebra
Sprache: Englisch
Publikationsjahr: 2010
Kurzbeschreibung (Abstract):

Geometric Algebra (GA) is a mathematical framework that allows a compact and geometrically intuitive description of geometric relationships and algorithms. In this thesis a translation, rotation and scale invariant algorithm for registration of color images and other multichannel data is introduced. The use of Geometric Algebra allows generalizing 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), Image registration, Clifford algebras, Geometric algebra (GA)
Zusätzliche Informationen:

44 p.

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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