Pixel super-resolution in digital holography by regularized reconstruction

Fournier C.; Jolivet F.; Denis L.; Verrier N.; Thiebaut E.; Allier C.; Fournel T.

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Pixel super-resolution in digital holography by regularized reconstruction

机译：通过正则重建的数字全息术中的像素超分辨率

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In-line digital holography (DH) and lensless microscopy are 3D imaging techniques used to reconstruct the volume of micro-objects in many fields. However, their performances are limited by the pixel size of the sensor. Recently, various pixel super-resolution algorithms for digital holography have been proposed. A hologram with improved resolution was produced from a stack of laterally shifted holograms, resulting in better resolved reconstruction than a single low-resolution hologram. Algorithms for super-resolved reconstructions based on inverse problems approaches have already been shown to improve the 3D reconstruction of opaque spheres. Maximum a posteriori approaches have also been shown capable of reconstructing the object field more accurately and more efficiently and to extend the usual field-of-view. Here we propose an inverse problem formulation for DH pixel super-resolution and an algorithm that alternates registration and reconstruction steps. The method is described in detail and used to reconstruct synthetic and experimental holograms of sparse 2D objects. We show that our approach improves both the shift estimation and reconstruction quality. Moreover, the reconstructed field-of-view can be expanded by up to a factor 3, thus making it possible to multiply the analyzed area ninefold. (C) 2016 Optical Society of America

机译：在线数字全息术（DH）和无透镜显微镜是3D成像技术，用于重建许多领域中的微对象的体积。然而，它们的性能受传感器的像素尺寸的限制。最近，已经提出了用于数字全息术的各种像素超分辨率算法。从一堆横向移位的全息图产生具有改进分辨率的全息图，从而使得更好地分辨重建而不是单个低分辨率全息图。基于逆问题的超分辨重建的算法已经显示出改善不透明球的三维重建。还示出了最大后验方法，能够更准确，更有效地重建对象场并扩展通常的视野。在这里，我们提出了一种用于DH像素超分辨率的逆问题和替代登记和重建步骤的算法。该方法详细描述并用于重建稀疏2D对象的合成和实验全息图。我们表明我们的方法改善了换档估计和重建质量。此外，重建的视野可以通过最多扩展到因子3，因此可以将分析的区域纳米倍增。（c）2016年美国光学学会

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《Applied optics》 |2017年第1期|共9页
作者
Fournier C.; Jolivet F.; Denis L.; Verrier N.; Thiebaut E.; Allier C.; Fournel T.;
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Univ Jean Monnet CNRS UMR 5516 Lab Hubert Curien 18 Rue Prof Benoit Lauras F-42000 St Etienne France;

Univ Jean Monnet CNRS UMR 5516 Lab Hubert Curien 18 Rue Prof Benoit Lauras F-42000 St Etienne France;

Univ Jean Monnet CNRS UMR 5516 Lab Hubert Curien 18 Rue Prof Benoit Lauras F-42000 St Etienne France;

IUT Mulhouse Lab Modelisat Intelligence Proc Syst EA2332 61 Rue A Camus F-68093 Mulhouse France;

Univ Lyon 1 ENS Lyon CNRS Ctr Rech Astrophys Lyon UMR5574 F-69230 St Genis Laval France;

CEA LETI MINATEC 17 Rue Martyrs F-38054 Grenoble 9 France;

Univ Jean Monnet CNRS UMR 5516 Lab Hubert Curien 18 Rue Prof Benoit Lauras F-42000 St Etienne France;

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Pixel super-resolution in digital holography by regularized reconstruction

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