HAL : hal-00278008, version 1

DOI : 10.1016/j.cviu.2006.11.019

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Computer Vision and Image Understanding 107, Issues 1-2 (2007) 74-87

Spatial and spectral Quaternionic approaches for Colour Images

Patrice Denis 1, Philippe Carré 1, Christine Fernandez-Maloigne 1

(02/07/2007)

Hypercomplex or quaternions numbers have been used recently for both greyscale and colour image processing. Fast, numerous hypercomplex 2D Fourier transforms were presented as a generalization of the complex 2D Fourier transform to this new hypercomplex space. Thus, the major problem was to put an interpretation of what information the Fourier coefficients could provide. In this paper, we first define the conditions on the spectrum coefficients needed to reconstruct a colour image without loss of information through the inverse quaternionic Fourier transform process. The result is used to interpret the quaternionic spectrum coefficients of this specific colour Fourier transform. Secondly, with this apprehension of the quaternion numbers and the corresponding colour spectrum space, we define spatial and frequential strategies to filter colour images.

1 :	SIGNAL-IMAGE-COMMUNICATION (SIC)
	CNRS : FRE2731 – Université de Poitiers

Équipe de recherche : ICONES

Domaine

:

Informatique/Traitement du signal et de l'image Informatique/Traitement des images Sciences de l'ingénieur/Traitement du signal et de l'image

Mots Clés : Quaternions – Quaternionic Fourier transform – Colour image processing – Filter – Symmetry conditions

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Contributeur : Patrice Denis <>

Soumis le : Mercredi 7 Mai 2008, 17:08:38

Dernière modification le : Lundi 27 Juillet 2009, 14:12:39