Local amplitude and phase retrieval method for digital holography applied to microscopy

Michael Liebling*, Thierry Blu, Etienne Cuche, Pierre Marquet, Christian Depeursinge, Michael Unser

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

5 Scopus citations


We present a numerical two-step reconstruction procedure for digital off-axis Fresnel holograms. First, we retrieve the amplitude and phase of the object wave in the CCD plane. For each point we solve a weighted linear set of equations in the least-squares sense. The algorithm has O(N) complexity and gives great flexibility. Second, we numerically propagate the obtained wave to achieve proper focus. We apply the method to microscopy and demonstrate its suitability for the real time imaging of biological samples.

Original languageEnglish (US)
Pages (from-to)210-214
Number of pages5
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2003
Externally publishedYes
EventNovel Optical Instrumentation for Biomedical Applications - Munich, Germany
Duration: Jun 24 2003Jun 25 2003


  • Digital holography
  • Fresnel transform
  • Fresnelets
  • Least-squares
  • Phase retrieval

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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