Beyond the diffraction limits: Inverse numerical imaging based on transform-domain sparse modeling for phase and amplitude

Author

Katkovnik, Vladimir ; Astola, Jaakko

Author_Institution

Dept. of Signal Process., Tampere Univ. of Technol., Tampere, Finland

fYear

2011

fDate

19-24 June 2011

Firstpage

1

Lastpage

3

Abstract

We consider the following basic wave field reconstruction problem. A wave field at an object plane is modeled as complex-valued with arbitrary phase and amplitude. The forward wave field propagation from the object to a parallel image/sensor plane is defined by the Rayleigh-Sommerfeld diffraction integral. The problem is to reconstruct the object plane distribution for both the phase and the amplitude from complex-valued observations at the sensor plane.

Keywords

image reconstruction; image representation; inverse problems; light diffraction; Rayleigh-Sommerfeld diffraction integral; arbitrary amplitude; arbitrary phase; forward wave field propagation; image formation; inverse numerical imaging; matrix representation; parallel image plane; parallel sensor plane; transform-domain sparse modeling; wave field reconstruction problem; Amplitude modulation; Diffraction; Image reconstruction; Imaging; Minimization; Optical diffraction; Phase modulation;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Optics (WIO), 2011 10th Euro-American Workshop on

Conference_Location

Benicassim

Print_ISBN

978-1-4577-1227-2

Electronic_ISBN

978-1-4577-1225-8

Type

conf

DOI

10.1109/WIO.2011.5981464

Filename

5981464