Least-squares based inverse reconstruction of in-line digital holograms

Edwin Kamau, Nicholas M. Burns, Claas Falldorf, Christoph von Kopylow, John Watson, Ralf B. Bergmann

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We present a least-squares solution for the inverse problem in in-line digital holography which is based on a point source model. We demonstrate that by reformulating the reconstruction problem as an inverse problem and by integrating a contour gradient based auto-focus search algorithm into the reconstruction routine, a more fundamental solution for the inversion of a hologram can be attained. With this approach the inversion can be calculated without any prior knowledge of the object's shape/size and without imposing any constraints on the imaging system. In a proof-of-concept study we show that our method facilitates a more accurate reconstruction, as compared to conventional methods, and that it facilitates object localization with an accuracy on the order of the optical wavelength.
Original languageEnglish
Article number075716
Pages (from-to)1-10
Number of pages10
JournalJournal of Optics
Issue number7
Publication statusPublished - 2 Jul 2013

Bibliographical note

The authors would like to thank the Deutsche Forschungsgemeinschaft
(DFG) for the financial support of the project HoloReForm (grant number: KO 2894/3-2) and the subproject B5 in the Collaborative Research Center SFB-747.


  • diffraction
  • interference
  • holography
  • inverse problems
  • auto-focus schemes


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