Nonsmooth Convex Optimization for Structured Illumination Microscopy Image Reconstruction

In this paper, we propose a new approach for structured illumination microscopy image reconstruction. We first introduce the principles of this imaging modality and describe the forward model. We then propose the minimization of nonsmooth convex objective functions for the recovery of the unknown im...

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Autores principales: Boulanger, Jérôme, Pustelnik, Nelly, Condat, Laurent, Sengmanivong, Lucie, Piolot, Tristan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6075701/
https://www.ncbi.nlm.nih.gov/pubmed/30083025
http://dx.doi.org/10.1088/1361-6420/aaccca
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author Boulanger, Jérôme
Pustelnik, Nelly
Condat, Laurent
Sengmanivong, Lucie
Piolot, Tristan
author_facet Boulanger, Jérôme
Pustelnik, Nelly
Condat, Laurent
Sengmanivong, Lucie
Piolot, Tristan
author_sort Boulanger, Jérôme
collection PubMed
description In this paper, we propose a new approach for structured illumination microscopy image reconstruction. We first introduce the principles of this imaging modality and describe the forward model. We then propose the minimization of nonsmooth convex objective functions for the recovery of the unknown image. In this context, we investigate two data-fitting terms for Poisson-Gaussian noise and introduce a new patch-based regularization method. This approach is tested against other regularization approaches on a realistic benchmark. Finally, we perform some test experiments on images acquired on two different microscopes.
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spelling pubmed-60757012018-09-01 Nonsmooth Convex Optimization for Structured Illumination Microscopy Image Reconstruction Boulanger, Jérôme Pustelnik, Nelly Condat, Laurent Sengmanivong, Lucie Piolot, Tristan Inverse Probl Article In this paper, we propose a new approach for structured illumination microscopy image reconstruction. We first introduce the principles of this imaging modality and describe the forward model. We then propose the minimization of nonsmooth convex objective functions for the recovery of the unknown image. In this context, we investigate two data-fitting terms for Poisson-Gaussian noise and introduce a new patch-based regularization method. This approach is tested against other regularization approaches on a realistic benchmark. Finally, we perform some test experiments on images acquired on two different microscopes. 2018-07-12 2018-09 /pmc/articles/PMC6075701/ /pubmed/30083025 http://dx.doi.org/10.1088/1361-6420/aaccca Text en As the Version of Record of this article is going to be / has been published on a gold open access basis under a CC BY 3.0 licence, this Accepted Manuscript is available for reuse under a CC BY 3.0 licence immediately. https://creativecommons.org/licenses/by/3.0 Everyone is permitted to use all or part of the original content in this article, provided that they adhere to all the terms of the licence https://creativecommons.org/licences/by/3.0 Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permissions may be required. All third party content is fully copyright protected and is not published on a gold open access basis under a CC BY licence, unless that is specifically stated in the figure caption in the Version of Record.
spellingShingle Article
Boulanger, Jérôme
Pustelnik, Nelly
Condat, Laurent
Sengmanivong, Lucie
Piolot, Tristan
Nonsmooth Convex Optimization for Structured Illumination Microscopy Image Reconstruction
title Nonsmooth Convex Optimization for Structured Illumination Microscopy Image Reconstruction
title_full Nonsmooth Convex Optimization for Structured Illumination Microscopy Image Reconstruction
title_fullStr Nonsmooth Convex Optimization for Structured Illumination Microscopy Image Reconstruction
title_full_unstemmed Nonsmooth Convex Optimization for Structured Illumination Microscopy Image Reconstruction
title_short Nonsmooth Convex Optimization for Structured Illumination Microscopy Image Reconstruction
title_sort nonsmooth convex optimization for structured illumination microscopy image reconstruction
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6075701/
https://www.ncbi.nlm.nih.gov/pubmed/30083025
http://dx.doi.org/10.1088/1361-6420/aaccca
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AT sengmanivonglucie nonsmoothconvexoptimizationforstructuredilluminationmicroscopyimagereconstruction
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