Summary: Geometric algebra colour image representations and derived total orderings
for morphological operators ­ Part I: Colour quaternions
Jesús Angulo *
CMM ­ Centre de Morphologie Mathématique, Mathématiques et Systèmes, MINES Paristech, 35, rue Saint Honoré, 77305 Fontainebleau Cedex, France
a r t i c l e i n f o
Article history:
Received 21 October 2008
Available online xxxx
Keywords:
Colour mathematical morphology
Colour quaternion
Quaternion total ordering
Nonlinear colour filtering
Colour feature extraction
Colour image representation
Hypercomplex representation
Colour potential function
Quaternion complete lattice
a b s t r a c t
The definition of morphological operators for colour images requires a total ordering for colour points. A

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

Collections: Computer Technologies and Information Sciences