A practical inverse-problem approach to digital holographic reconstruction
Reads0
Chats0
TLDR
The unknown complex object field is found as the solution of a nonlinear inverse problem that consists in the minimization of an energy functional that constrain the spatial amplitude and phase distributions of the reconstructed data.Abstract:
In this paper, we propose a new technique for high-quality reconstruction from single digital holographic acquisitions. The unknown complex object field is found as the solution of a nonlinear inverse problem that consists in the minimization of an energy functional. The latter includes total-variation (TV) regularization terms that constrain the spatial amplitude and phase distributions of the reconstructed data. The algorithm that we derive tolerates downsampling, which allows to acquire substantially fewer measurements for reconstruction compared to the state of the art. We demonstrate the effectiveness of our method through several experiments on simulated and real off-axis holograms.read more
Citations
More filters
Journal ArticleDOI
Optical Tomographic Image Reconstruction Based on Beam Propagation and Sparse Regularization
Ulugbek S. Kamilov,Ioannis N. Papadopoulos,Morteza H. Shoreh,Alexandre Goy,Cedric Vonesch,Michael Unser,Demetri Psaltis +6 more
TL;DR: A novel iterative imaging method for optical tomography that combines a nonlinear forward model based on the beam propagation method (BPM) with an edge-preserving three-dimensional (3-D) total variation (TV) regularizer and a time-reversal scheme that allows for an efficient computation of the derivative of the transmitted wave-field with respect to the distribution of the refractive index.
Journal ArticleDOI
Signal processing challenges for digital holographic video display systems
David Blinder,David Blinder,Ayyoub Ahar,Ayyoub Ahar,Stijn Bettens,Stijn Bettens,Tobias Birnbaum,Tobias Birnbaum,Athanasia Symeonidou,Athanasia Symeonidou,Heidi Ottevaere,Colas Schretter,Colas Schretter,Peter Schelkens,Peter Schelkens +14 more
TL;DR: The steps needed to realize an end-to-end chain from digital content acquisition to display, involving the efficient generation, representation, coding and quality assessment of digital holograms are delineated.
PatentDOI
Machine-learning approach to holographic particle characterization
TL;DR: In this article, machine learning techniques based on support vector machines (SVM) are used to analyze holographic video microscopy data in real time on low-power computers, and the resulting stream of precise particle-resolved tracking and characterization data provides unparalleled insights into the composition and dynamics of colloidal dispersions and enables applications ranging from basic research to process control and quality assurance.
Journal ArticleDOI
Pixel super-resolution in digital holography by regularized reconstruction
Corinne Fournier,Frédéric Jolivet,Loïc Denis,Nicolas Verrier,Éric Thiébaut,Cédric Allier,Thierry Fournel +6 more
TL;DR: An inverse problem formulation for DH pixel super-resolution and an algorithm that alternates registration and reconstruction steps is proposed that improves both the shift estimation and reconstruction quality and is used to reconstruct synthetic and experimental holograms of sparse 2D objects.
Journal ArticleDOI
Compressed sensing laser scanning microscopy.
TL;DR: A measurement and reconstruction method for laser-scanning microscopy based on compressed sensing, which enables significantly higher frame rates and reduced photobleaching, and has promising applications for all imaging modalities based on laser- scanning acquisition, including fluorescence, Raman, and nonlinear microscopy.
References
More filters
Journal ArticleDOI
Nonlinear total variation based noise removal algorithms
TL;DR: In this article, a constrained optimization type of numerical algorithm for removing noise from images is presented, where the total variation of the image is minimized subject to constraints involving the statistics of the noise.
Journal ArticleDOI
Introduction to Fourier Optics
Joseph W. Goodman,Mary E. Cox +1 more
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Journal Article
A practical algorithm for the determination of phase from image and diffraction plane pictures
TL;DR: In this article, an algorithm is presented for the rapid solution of the phase of the complete wave function whose intensity in the diffraction and imaging planes of an imaging system are known.
Journal ArticleDOI
Phase-shifting digital holography
Ichirou Yamaguchi,Tong Zhang +1 more
TL;DR: A new method is proposed in which the distribution of complex amplitude at a plane is measured by phase-shifting interferometry and then Fresnel transformed by a digital computer, which can reconstruct an arbitrary cross section of a three-dimensional object with higher image quality and a wider viewing angle than from conventional digital holography using an off-axis configuration.
Journal ArticleDOI
Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel off-axis holograms
TL;DR: Off-axis holograms recorded with a magnified image of microscopic objects are numerically reconstructed in amplitude and phase by calculation of scalar diffraction in the Fresnel approximation to show that the transverse resolution is equal to the diffraction limit of the imaging system.