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Structure Tensor of Colour Quaternion Image Representations for Invariant Feature Extraction
 

Summary: Structure Tensor of Colour Quaternion Image
Representations for Invariant Feature Extraction
Jesús Angulo
CMM-Centre de Morphologie Mathématique, Mathématiques et Systèmes, MINES
Paristech; 35, rue Saint Honoré, 77305 Fontainebleau Cedex, France
jesus.angulo@ensmp.fr
Abstract. Colour image representation using real quaternions has
shown to be very useful for linear and morphological colour filtering.
This paper deals with the extension of first derivatives-based structure
tensor for various quaternionic colour image representations. Classical
corner and edge features are obtained from eigenvalues of the quater-
nionic colour structure tensors. We study the properties of invariance of
the quaternion colour spatial derivatives and their robustness for feature
extraction on practical examples.
1 Introduction
A colour point can be represented according to different geometric algebra struc-
tures. Real quaternions have been considered in last years to represent and to
perform colour transformations by taking into account the 3D vector nature of
colour triplets. Quaternion-based colour operations, such as colour Fourier trans-
form, colour convolution and linear filters, have been studied mainly by [9,16,10]

  

Source: Angulo,Jesús - Centre de Morphologie Mathématique, Ecole des Mines de Paris

 

Collections: Computer Technologies and Information Sciences