Morphological processing of univariate Gaussian distribution-valued images based on Poincaré upper-half plane representation

Abstract : Mathematical morphology is a nonlinear image processing methodology based on the application of complete lattice theory to spatial structures. Let us consider an image model where at each pixel is given a univariate Gaussian distribution. This model is interesting to represent for each pixel the measured mean intensity as well as the variance (or uncertainty) for such measurement. The aim of this work is to formulate morphological operators for these images by embedding Gaussian distribution pixel values on the Poincaré upper-half plane. More precisely, it is explored how to endow this classical hyperbolic space with various families of partial orderings which lead to a complete lattice structure. Properties of order invariance are explored and application to morphological processing of univariate Gaussian distribution-valued images is illustrated.
Type de document :
Chapitre d'ouvrage
Frank Nielsen. Geometric Theory of Information, Springer International Publishing, pp.331-366, 2014, Signals and Communication Technology, 978-3-319-05316-5. 〈10.1007/978-3-319-05317-2_12〉. 〈http://link.springer.com/chapter/10.1007/978-3-319-05317-2_12〉
Liste complète des métadonnées

Littérature citée [29 références]  Voir  Masquer  Télécharger

https://hal-mines-paristech.archives-ouvertes.fr/hal-00795012
Contributeur : Jesus Angulo <>
Soumis le : jeudi 22 janvier 2015 - 11:54:46
Dernière modification le : vendredi 27 octobre 2017 - 17:36:02
Document(s) archivé(s) le : vendredi 11 septembre 2015 - 08:33:11

Fichier

SpringerBookChapter_PoincareHa...
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Jesus Angulo, Santiago Velasco-Forero. Morphological processing of univariate Gaussian distribution-valued images based on Poincaré upper-half plane representation. Frank Nielsen. Geometric Theory of Information, Springer International Publishing, pp.331-366, 2014, Signals and Communication Technology, 978-3-319-05316-5. 〈10.1007/978-3-319-05317-2_12〉. 〈http://link.springer.com/chapter/10.1007/978-3-319-05317-2_12〉. 〈hal-00795012v3〉

Partager

Métriques

Consultations de la notice

222

Téléchargements de fichiers

183