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Treffer: Statistical Multiresolution Estimation for Variational Imaging: With an Application in Poisson-Biophotonics

Title:
Statistical Multiresolution Estimation for Variational Imaging: With an Application in Poisson-Biophotonics
Authors:
FRICK, Klaus, MARNITZ, Philipp, MUNK, Axel
Source:
Scale-Space and Variational MethodsJournal of mathematical imaging and vision. 46(3):370-387
Publisher Information:
Heidelberg: Springer, 2013.
Publication Year:
2013
Physical Description:
print, 37 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Intelligence artificielle, Artificial intelligence, Reconnaissance des formes. Traitement numérique des images. Géométrie algorithmique, Pattern recognition. Digital image processing. Computational geometry, Analyse multirésolution, Multiresolution analysis, Análisis multiresolución, Analyse statistique, Statistical analysis, Análisis estadístico, Calcul variationnel, Variational calculus, Cálculo de variaciones, Coût, Costs, Coste, Déconvolution, Deconvolution, Desconvolución, Evaluation performance, Performance evaluation, Evaluación prestación, Fidélité, Fidelity, Fidelidad, Fluorescence, Fluorescencia, Formation image, Imaging, Formación imagen, Multiplicateur, Multiplier, Multiplicador, Méthode adaptative, Adaptive method, Método adaptativo, Problème inverse, Inverse problem, Problema inverso, Programmation convexe, Convex programming, Programación convexa, Programmation mathématique, Mathematical programming, Programación matemática, Reconstruction image, Image reconstruction, Reconstrucción imagen, Régularité, Regularity, Regularidad, Valeur extrême, Extreme value, Valor extremo, Variation totale, Total variation, Variación total, Alternating direction method of multipliers, Extreme-value statistics, Poisson regression, Statistical imaging, Statistical inverse problems, Statistical multiresolution, Total-variation regularization
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Institute for Mathematical Stochastics, University of Göttingen, Goldschmidtstrasse 7, 37077 Göttingen, Germany
Max Planck Institute for Biophysical Chemistry, Am Fassberg 11, 37077 Göttingen, Germany
ISSN:
0924-9907
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=27681700
Rights:
Copyright 2014 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.27681700
Database:
PASCAL Archive

Weitere Informationen

In this paper we present a spatially-adaptive method for image reconstruction that is based on the concept of statistical multiresolution estimation as introduced in Frick et al. (Electron. J. Stat. 6:231―268, 2012). It constitutes a variational regularization technique that uses an ℓ∞-type distance measure as data-fidelity combined with a convex cost functional. The resulting convex optimization problem is approached by a combination of an inexact alternating direction method of multipliers and Dykstra's projection algorithm. We describe a novel method for balancing data-fit and regularity that is fully automatic and allows for a sound statistical interpretation. The performance of our estimation approach is studied for various problems in imaging. Among others, this includes deconvolution problems that arise in Poisson nanoscale fluorescence microscopy.