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  4. Mueller matrix cone and its application to filtering
 
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2020
Journal Article
Title

Mueller matrix cone and its application to filtering

Abstract
We show that there is an isometry between the real ambient space of all Mueller matrices and the space of all Hermitian matrices that maps the Mueller matrices onto the positive semidefinite matrices. We use this to establish an optimality result for the filtering of Mueller matrices, which roughly says that it is always enough to filter the eigenvalues of the corresponding ""coherency matrix."" Then we further explain how the knowledge of the cone of Hermitian positive semidefinite matrices can be transferred to the cone of Mueller matrices with a special emphasis towards optimisation. In particular, we suggest that means of Mueller matrices should be computed within the corresponding Riemannian geometry.
Author(s)
Zander, Tim  
Beyerer, Jürgen  
Journal
OSA continuum  
Open Access
File(s)
Download (299.21 KB)
DOI
10.24406/publica-r-263252
10.1364/OSAC.383317
Language
English
Fraunhofer-Institut für Optronik, Systemtechnik und Bildauswertung IOSB  
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