Wavefield Reconstruction and Design as Discrete Inverse Problems

Author

Katkovnik, Vladimir ; Astola, Jaakko ; Egiazarian, Karen

Author_Institution

Signal Process. Inst., Tampere Univ. of Technol., Tampere

fYear

2008

fDate

28-30 May 2008

Firstpage

265

Lastpage

268

Abstract

A novel discrete model for the wavefield propagation is proposed. This model is accurate for a pixel-wise constant object distribution, i.e. for a object distribution which is piece-wise invariant on rectangular elements of pixel´s size of a digital hologram CCD sensor. We apply this model for two different inverse problems: reconstruction of an object complex-valued distribution from holographic data and design of a digital hologram giving a desirable distribution as result of the wavefield propagation. The efficiency and advantage of the developed algorithm are demonstrated.

Keywords

CCD image sensors; image reconstruction; inverse problems; optical images; optical information processing; digital hologram CCD sensor; discrete inverse problems; discrete optical signal processing; object complex-valued distribution reconstruction; pixel-wise constant object distribution; wavefield propagation; wavefield reconstruction; Convolution; Diffraction; Discrete transforms; Holography; Image reconstruction; Integral equations; Inverse problems; Kernel; Phase measurement; Signal design; Digital holography; forward and backwrad wavefield propagation; inverse problems; phase and intensity reconstruction;

fLanguage

English

Publisher

ieee

Conference_Titel

3DTV Conference: The True Vision - Capture, Transmission and Display of 3D Video, 2008

Conference_Location

Istanbul

Print_ISBN

978-1-4244-1760-5

Electronic_ISBN

978-1-4244-1755-1

Type

conf

DOI

10.1109/3DTV.2008.4547859

Filename

4547859