Phase retrieval from noisy data based on sparse approximation of object phase and amplitude

09/04/2017
by   Vladimir Katkovnik, et al.
0

A variational approach to reconstruction of phase and amplitude of a complex-valued object from Poissonian intensity observations is developed. The observation model corresponds to the typical optical setups with a phase modulation of wavefronts. The transform domain sparsity is applied for the amplitude and phase modeling. It is demonstrated that this modeling results in the essential advantage of the developed algorithm for heavily noisy observations corresponding to a short exposure time in optical experiments. We consider also two simplified versions of this algorithm where the sparsity modeling of phase and amplitude is omitted. In the simulation study we compare the developed algorithms versus the Gerchberg-Saxton and truncation Wirtinger flow algorithms. The latter algorithm being the maximum likelihood based is the state-of-the-art for the phase retrieval from Poissonian observations. For noisy and very noisy observations the proposed algorithm demonstrates a valuable advantage.

READ FULL TEXT

page 11

page 13

page 14

research
08/15/2011

Advanced phase retrieval: maximum likelihood technique with sparse regularization of phase and amplitude

Sparse modeling is one of the efficient techniques for imaging that allo...
research
11/01/2017

Complex-valued image denosing based on group-wise complex-domain sparsity

Phase imaging and wavefront reconstruction from noisy observations of co...
research
03/27/2013

Amplitude-Based Approach to Evidence Accumulation

We point out the need to use probability amplitudes rather than probabil...
research
07/13/2015

Sparsity assisted solution to the twin image problem in phase retrieval

The iterative phase retrieval problem for complex-valued objects from Fo...
research
03/05/2019

Widely Linear Complex-valued Autoencoder: Dealing with Noncircularity in Generative-Discriminative Models

We propose a new structure for the complex-valued autoencoder by introdu...
research
10/07/2022

Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography with an Arbitrarily Moving Object

We consider the imaging problem of the reconstruction of a three-dimensi...
research
07/23/2019

Log Complex Color for Visual Pattern Recognition of Total Sound

While traditional audio visualization methods depict amplitude intensiti...

Please sign up or login with your details

Forgot password? Click here to reset