Point spread functions of digital reconstruction of digitally recorded holograms

L. Yaroslavsky*, F. Zhang, I. Yamaguchi

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


Digital reconstruction of samples of the object wave front amplitude from samples of its hologram is addressed and is treated as a process of sampling the object wave front. Signal sampling is a linear transformation that is fully specified by its point spread function. Point spread functions of the hologram reconstruction algorithms are derived that explicitly show how the reconstruction results depend on the holographic setups and photographic camera physical parameters such as object-to-camera distance, radiation wave length, camera size, pitch, fill factor and alike. Three reconstruction algorithms are introduced and analyzed: a general algorithm and more commonly known Fourier and Convolution ones extended to enable reconstruction with arbitrary scale factor. For convolution algorithm, it is shown additionally that reconstruction results contain, in general, certain extra distortions as compared to general and Fourier reconstructions.

Original languageEnglish
Article number39
Pages (from-to)271-282
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2005
EventInformation Optics and Photonics Technology - Beijing, China
Duration: 8 Nov 200411 Nov 2004


  • Digital holography
  • Discrete Fourier Transform
  • Discrete Fresnel Transform
  • Point Spread Function


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