Penalized-likelihood image reconstruction for digital holography.
TLDR
A new numerical reconstruction approach using a statistical technique that reconstructs the complex field of the object from the real-valued hologram intensity data and derives an optimization transfer algorithm that monotonically decreases the cost function at each iteration.Abstract:
Conventional numerical reconstruction for digital holography using a filter applied in the spatial-frequency domain to extract the primary image may yield suboptimal image quality because of the loss in high-frequency components and interference from other undesirable terms of a hologram. We propose a new numerical reconstruction approach using a statistical technique. This approach reconstructs the complex field of the object from the real-valued hologram intensity data. Because holographic image reconstruction is an ill-posed problem, our statistical technique is based on penalized-likelihood estimation. We develop a Poisson statistical model for this problem and derive an optimization transfer algorithm that monotonically decreases the cost function at each iteration. Simulation results show that our statistical technique has the potential to improve image quality in digital holography relative to conventional reconstruction techniques.read more
Citations
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Journal ArticleDOI
Demodulation of noisy interferograms with rapid phase variations and amplitude fluctuations using a surrogate principle-based optimization method.
TL;DR: In this paper, an optimization-based method for phase extraction from interferograms corrupted with noise, rapid phase variations, and localized amplitude fluctuations is presented, where the phase retrieval problem is addresed by modeling a cost function using non-convex non-smooth total generalized variational regularization and surrogate principle is used to transform the cost function into convex form for convenient optimization framework.
Compressed Optical Imaging
TL;DR: In this article, the authors present a generalized sampling theory for image interpolation and image reconstruction in the context of compressed sensing and digital holography, and present the results of a case study at EPFL.
Reconstruction régularisée basée sur un modèle non-linéaire de formation d'hologramme
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Image Quality Assessment for Gibbs Ringing Reduction
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