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Conference papers
Complete Lattice Structure of Poincaré Upper-Half Plane and Mathematical Morphology for Hyperbolic-Valued Images
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 paper 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 partial orderings which lead to a complete lattice structure.
Cited literature [10 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-01536381
Contributor : Jesus Angulo Connect in order to contact the contributor
Submitted on : Sunday, June 11, 2017 - 12:24:30 PM
Last modification on : Wednesday, November 17, 2021 - 12:27:14 PM
Long-term archiving on: : Wednesday, December 13, 2017 - 11:13:07 AM
Contributor : Jesus Angulo Connect in order to contact the contributor
Submitted on : Sunday, June 11, 2017 - 12:24:30 PM
Last modification on : Wednesday, November 17, 2021 - 12:27:14 PM
Long-term archiving on: : Wednesday, December 13, 2017 - 11:13:07 AM
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HyperbolicMM_GSI13_final.pdf
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