1. Regularized reconstruction of absorbing and phase objects from a single in-line hologram, application to fluid mechanics and micro-biology
- Author
-
Nicolas Faure, Frédéric Pinston, Loïc Méès, Jean-Louis Marié, Corinne Fournier, Frédéric Jolivet, Loïc Denis, Nathalie Grosjean, Fabien Momey, Laboratoire Hubert Curien [Saint Etienne] (LHC), Institut d'Optique Graduate School (IOGS)-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mecanique des Fluides et d'Acoustique (LMFA), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), and bioMérieux - Clinical Unit
- Subjects
Diffraction ,Inverse problems ,Mie scattering ,Fast Fourier transform ,Holography ,Physics::Optics ,02 engineering and technology ,Microbiology ,01 natural sciences ,law.invention ,Image reconstruction techniques ,Physical Phenomena ,010309 optics ,Optics ,[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing ,law ,Image Interpretation, Computer-Assisted ,0103 physical sciences ,Escherichia coli ,Staphylococcus epidermidis ,Phase retrieval ,Physics ,Microscopy ,business.industry ,Digital holography ,Fluid mechanics ,Equipment Design ,Inverse problem ,Image Enhancement ,021001 nanoscience & nanotechnology ,Atomic and Molecular Physics, and Optics ,Body Fluids ,0210 nano-technology ,business ,[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing ,Algorithms - Abstract
International audience; Reconstruction of phase objects is a central problem in digital holography, whose various applications include microscopy, biomedical imaging, and fluid mechanics. Starting from a single in-line hologram, there is no direct way to recover the phase of the diffracted wave in the hologram plane. The reconstruction of absorbing and phase objects therefore requires the inversion of the non-linear hologram formation model. We propose a regularized reconstruction method that includes several physically-grounded constraints such as bounds on transmittance values, maximum/minimum phase, spatial smoothness or the absence of any object in parts of the field of view. To solve the non-convex and non-smooth optimization problem induced by our modeling, a variable splitting strategy is applied and the closed-form solution of the sub-problem (the so-called proximal operator) is derived. The resulting algorithm is efficient and is shown to lead to quantitative phase estimation on reconstructions of accurate simulations of in-line holograms based on the Mie theory. As our approach is adaptable to several in-line digital holography configurations, we present and discuss the promising results of reconstructions from experimental in-line holograms obtained in two different applications: the tracking of an evaporating droplet (size ∼ 100µm) and the microscopic imaging of bacteria (size ∼ 1µm).
- Published
- 2018
- Full Text
- View/download PDF