DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Single-view phase retrieval of an extended sample by exploiting edge detection and sparsity

Journal Article · · Optics Express

We propose a new approach to robustly retrieve the exit wave of an extended sample from its coherent diffraction pattern by exploiting sparsity of the sample's edges. This approach enables imaging of an extended sample with a single view, without ptychography. We introduce nonlinear optimization methods that promote sparsity, and we derive update rules to robustly recover the sample's exit wave. We test these methods on simulated samples by varying the sparsity of the edge-detected representation of the exit wave. Finally, our tests illustrate the strengths and limitations of the proposed method in imaging extended samples.

Research Organization:
Argonne National Laboratory (ANL)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1366469
Journal Information:
Optics Express, Journal Name: Optics Express Journal Issue: 21 Vol. 24; ISSN 1094-4087; ISSN OPEXFF
Publisher:
Optical Society of America (OSA)Copyright Statement
Country of Publication:
United States
Language:
English

References (35)

Iterative Thresholding for Sparse Approximations journal September 2008
Enhancing Sparsity by Reweighted ℓ 1 Minimization journal October 2008
A Novel Sparsity Reconstruction Method from Poisson Data for 3D Bioluminescence Tomography journal September 2011
An Efficient Algorithm for ℓ 0 Minimization in Wavelet Frame Based Image Restoration journal May 2012
Nonlinear total variation based noise removal algorithms journal November 1992
Edge-preserving wavelet thresholding for image denoising journal December 2007
Visualizing and Improving the Robustness of Phase Retrieval Algorithms journal January 2015
An improved ptychographical phase retrieval algorithm for diffractive imaging journal September 2009
Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens journal July 1999
Potential for biomolecular imaging with femtosecond X-ray pulses journal August 2000
Three-dimensional mapping of a deformation field inside a nanocrystal journal July 2006
Reconstructing state mixtures from diffraction measurements journal February 2013
Keyhole coherent diffractive imaging journal March 2008
$\ell _0$ Minimization for wavelet frame based image restoration journal August 2012
X-ray image reconstruction from a diffraction pattern alone journal October 2003
Movable Aperture Lensless Transmission Microscopy: A Novel Phase Retrieval Algorithm journal July 2004
An Introduction To Compressive Sampling journal March 2008
The curvelet transform for image denoising journal May 2002
A Shearlet Approach to Edge Analysis and Detection journal May 2009
Compressive phase retrieval conference September 2007
High-Resolution Scanning X-ray Diffraction Microscopy journal July 2008
Unconstrained Optimization of Real Functions in Complex Variables journal January 2012
Wavelet Algorithms for High-Resolution Image Reconstruction journal January 2003
Estimating Derivatives of Noisy Simulations journal April 2012
Throat polyp detection based on compressed big data of voice with support vector machine algorithm journal January 2014
Phase retrieval algorithms: a comparison journal January 1982
High-resolution ab initio three-dimensional x-ray diffraction microscopy journal January 2006
Use of a complex constraint in coherent diffractive imaging journal January 2010
Coherent diffraction surface imaging in reflection geometry journal January 2010
Data preparation and evaluation techniques for x-ray diffraction microscopy journal January 2010
Incorrect support and missing center tolerances of phasing algorithms journal January 2010
Parallel ptychographic reconstruction journal January 2014
Using sparsity information for iterative phase retrieval in x-ray propagation imaging journal January 2016
Optimization with Sparsity-Inducing Penalties journal January 2011
Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers book January 2011

Cited By (2)

Identifying Defects with Guided Algorithms in Bragg Coherent Diffractive Imaging journal August 2017
Accurate, rapid identification of dislocation lines in coherent diffractive imaging via a min-max optimization formulation journal January 2018