Object reconstruction from in-line Fresnel holograms without explicit depth focusing


Ozgen M., Tuncer T.

OPTICAL ENGINEERING, vol.43, no.6, pp.1300-1310, 2004 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 6
  • Publication Date: 2004
  • Doi Number: 10.1117/1.1737785
  • Journal Name: OPTICAL ENGINEERING
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1300-1310
  • Keywords: in-line Fresnel holograms, digital holography, numerical reconstruction, Fourier transform, amplitude demodulation, energy separation algorithm, inverse filtering, blind deconvolution, 2-DIMENSIONAL WAVELET TRANSFORM, COHENS BILINEAR CLASS, DIGITAL HOLOGRAPHY, ENERGY SEPARATION, REPRESENTATIONS, PHASE

Abstract

We propose two computational techniques for extracting object cross-sectional shape information from digitized in-line Fresnel holograms that do not require prior knowledge of object depths but recover relative depth information along the way. The first algorithm is applicable to hologram segments involving a single particle only. It is based on estimating Fourier transform magnitude and phase of the particle from those of the hologram segment. The second algorithm conducts a joint inverse filtering and depth search procedure so as to minimize (or maximize) a binariness (or a concentration) criterion defined over the output object function. It is applicable to multiple-particle, multiexposure holograms as well. The proposed techniques are illustrated on synthesized holograms and their practical limitations are discussed. C 2004 Society of Photo-Optical Instrumentation Engineers.